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Aptekarev, Alexander Ivanovich

Total publications: 169 (143)
in MathSciNet: 124 (106)
in zbMATH: 104 (89)
in Web of Science: 102 (86)
in Scopus: 92 (89)
Cited articles: 104
Citations: 2058
Presentations: 86

Number of views:
This page:14839
Abstract pages:47585
Full texts:15602
References:4325
Aptekarev, Alexander Ivanovich
Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences (1989)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 11.03.1955
E-mail:
Keywords: mathematics.
UDC: 517.53, 517.3, 517.5, 517.51, 517.9, 530.145

Subject:

Mathematics.

   
Main publications:
  1. A. I. Aptekarev, E. D. Belega, J. S. Dehesa, “Rydberg multidimensional states: Rényi and Shannon entropies in momentum space”, J. Phys. A: Math. Theor., 54:3 (2021), 035305 , 19 pp.  crossref  mathscinet  isi  scopus
  2. Alexander I. Aptekarev, Sergey A. Denisov, and Maxim L. Yattselev, “Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials”, Trans. of the Amer. Math. Soc., 373:2 (2020), 875–917  crossref  isi  scopus
  3. Alexander I. Aptekarev, Walter Van Assche, Maxim L. Yattselev, “Hermite–Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports”, Commun. Pure Appl. Math., 70:3 (2017), 444–510  mathnet  crossref  mathscinet  zmath  isi  scopus
  4. A. I. Aptekarev, S. A. Denisov, D. N. Tulyakov, “On a problem by Steklov”, J. Amer. Math. Soc., 29 (2016), 1117–1165  crossref  mathscinet  zmath  isi  elib  scopus
  5. A. I. Aptekarev, “The Mhaskar–Saff Variational Principle and Location of the Shocks of Certain Hyperbolic Equations”, Contemporary Mathematics, 661 (2016), 167–186  crossref  mathscinet  zmath  isi  scopus
  6. A. I. Aptekarev, M. L. Yattselev, “Pade approximants for functions with branch points – strong asymptotics of Nuttall–Stahl polynomials”, Acta Math., 215 (2015), 217–280  crossref  mathscinet  zmath  isi  elib  scopus
  7. A. I. Aptekarev, “Spectral Problems of High-Order Recurrences”, Amer. Math. Soc. Transl., 233 (2014), 43–61  crossref  mathscinet  zmath
  8. A. I. Aptekarev, P. M. Bleher, A. B. J. Kuijlaars, “Large $n$ limit of Gaussian random matrices with external source. II”, Comm. Math. Phys., 259:2 (2005), 367–389  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  9. A. I. Aptekarev, “Sharp constants for rational approximations of analytic functions”, Sb. Math., 193:1 (2002), 1–72  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
  10. A. I. Aptekarev, “Strong asymptotics of multiply orthogonal polynomials for Nikishin systems”, Sb. Math., 190:5 (1999), 631–669  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
  11. A. I. Aptekarev, “A direct proof for Trefethen's conjecture”, Methods of Approximation Theory in Complex Analysis and Mathematical Physics, May 13–24, 1991, Leningrad, Lecture Notes in Math., 1550, Springer, Berlin, 1993, 147–148  crossref  mathscinet  zmath
  12. A. I. Aptekarev, “Asymptotics of simultaneously orthogonal polynomials in the Angelesco case”, Math. USSR-Sb., 64:1 (1989), 57–84  mathnet  crossref  mathscinet  zmath  isi  scopus

https://www.mathnet.ru/eng/person8657
https://ru.wikipedia.org/wiki/Aptekarev,_Aleksandr_Ivanovich
List of publications on Google Scholar
https://zbmath.org/authors/ai:aptekarev.alexander-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/192572
https://elibrary.ru/author_items.asp?authorid=165
https://www.scopus.com/authid/detail.url?authorId=6603809965

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2024
1. A. I. Aptekarev, A. V. Dyachenko, V. G. Lysov, “Meixner Multiply Orthogonal Polynomials on Interleaved Lattices”, Math. Notes, 115:4 (2024), 642–646  mathnet  crossref  crossref  crossref  mathscinet  scopus
2. A. I. Aptekarev, “Szegö asymptotcs for Angelesco systems”, Keldysh Institute preprints, 2024  mathnet  crossref
3. A. I. Aptekarev, V. Yu. Novokshenov, “Asymptotics of solutions of the discrete Painlevé I equation”, Math. Notes, 116:6 (2024), 1170–1182  mathnet  crossref  crossref
4. A. I. Aptekarev, S. I. Bezrodnykh, M. A. Guzev, S. I. Kabanikhin, B. S. Kashin, S. V. Kislyakov, V. V. Kozlov, N. Yu. Lukoyanov, M. B. Markov, D. O. Orlov, Yu. S. Osipov, I. B. Petrov, V. P. Platonov, I. A. Taimanov, V. F. Tishkin, D. V. Treschev, E. E. Tyrtyshnikov, M. V. Yakobovskiy, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Russian Math. Surveys, 79:4 (2024), 739–745  mathnet  crossref  crossref

   2023
5. A. I. Aptekarev, “Hyperbolic volume of 3-d manifolds, A-polynomials, numerical hypothesis testing”, Keldysh Institute preprints, 2023  mathnet  crossref
6. A. I. Aptekarev, Yu. Yu. Balega, D. V. Bisikalo, V. G. Bondur, L. M. Zelenyi, A. A. Petrukovich, V. A. Sadovnichy, V. A. Solov'ev, R. A. Syunyaev, A. M. Cherepashchuk, B. N. Chetverushkin, B. M. Shustov, “Mikhail Yakovlevich Marov (on his 90th birthday)”, Phys. Usp., 66:7 (2023), 747–749  mathnet  crossref  crossref  adsnasa  isi

   2022
7. A. I. Aptekarev, S. Yu. Dobrokhotov, D. N. Tulyakov, A. V. Tsvetkova, “Plancherel–Rotach type asymptotic formulae for multiple orthogonal Hermite polynomials and recurrence relations”, Izv. Math., 86:1 (2022), 32–91  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
8. Michel Alexis, Alexander Aptekarev, Sergey Denisov, “Continuity of weighted operators, muckenhoupt $A_p$ weights, and Steklov problem for orthogonal polynomials”, Int. Math. Res. Not. IMRN, 2022, no. 8, 5935–5972  crossref  mathscinet  isi  scopus 2
9. A. I. Aptekarev, V. A. Kalyagin, “Spectral problem for the vector Stieltjes string”, Russian Math. Surveys, 77:5 (2022), 946–948  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
10. A. I. Aptekarev, Yu. G. Rykov, “Emergence of a Hierarchy of Singularities in Zero-Pressure Media. Two-Dimensional Case”, Math. Notes, 112:4 (2022), 495–504  mathnet  crossref  crossref  scopus
11. A. I. Aptekarev, M. Yattselev, Tr. Mosk. Mat. Obs., 83, no. 2, MCCME, M., 2022, 297–318  mathnet

   2021
12. A. I. Aptekarev, “Convergence of Bieberbach polynomials: Keldysh's theorems and Mergelyan's conjecture”, Russian Math. Surveys, 76:3 (2021), 379–387  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
13. A. I. Aptekarev, V. G. Lysov, “Multilevel interpolation for Nikishin systems and boundedness of Jacobi matrices on binary trees”, Russian Math. Surveys, 76:4 (2021), 726–728  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
14. A. I. Aptekarev, “Weak and strong asymptotics of orthogonal polynomials with «varying» weight”, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, CMFD, 67, no. 3, PFUR, M., 2021, 427–441  mathnet  crossref
15. A. I. Aptekarev, E. D. Belega, J. S. Dehesa, “Rydberg multidimensional states: Rényi and Shannon entropies in momentum space”, J. Phys. A: Math. Theor., 54:3 (2021), 035305 , 19 pp.  crossref  mathscinet  isi  scopus 9
16. A. I. Aptekarev, T. V. Dudnikova, D. N. Tulyakov, “Recurrence Relations and Asymptotics of Colored Jones Polynomials”, Lobachevskii J. Math., 42:11 (2021), 2580–2595  crossref  mathscinet  isi  scopus 3
17. A. I. Aptekarev, S. A. Denisov, M. L. Yattselev, “Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum”, J. Spectr. Theory, 11:4 (2021), 1511–1597  crossref  mathscinet  isi  scopus 5
18. B. N. Chetverushkin, A. I. Aptekarev, “In memory of Nikolay Nikolaevich Kalitkin”, Matem. Mod., 33:2 (2021), 141–142  mathnet  crossref  mathscinet
19. A. I. Aptekarev, D. E. Apushkinskaya, O. V. Besov, V. I. Burenkov, V. V. Vlasov, R. V. Gamkrelidze, M. L. Gol'dman, G. V. Demidenko, V. G. Zadorozhniy, V. V. Kozlov, G. G. Lazareva, S. P. Novikov, V. M. Savchin, V. A. Sadovnichii, A. L. Skubachevskii, A. P. Soldatov, D. V. Treschev, M. A. Ragusa, H.-O. Walther, “Vladimir Mikhailovich Filippov”, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, CMFD, 67, no. 3, PFUR, M., 2021, 423–426  mathnet  crossref

   2020
20. A. I. Aptekarev, S. A. Denisov, M. L. Yattselev, “Discrete Schrödinger Operator on a Tree, Angelesco Potentials, and Their Perturbations”, Proc. Steklov Inst. Math., 311 (2020), 1–9  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
21. Alexander I. Aptekarev, Sergey A. Denisov, and Maxim L. Yattselev, “Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials”, Trans. of the Amer. Math. Soc., 373:2 (2020), 875–917  crossref  isi  scopus 20
22. Alexander I. Aptekarev, Rostyslav Kozhan, “Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class”, J. Approx. Theory, 255 (2020), 105409 , 21 pp.  crossref  isi  scopus 6

   2019
23. Jesús S. Dehesa, Elena D. Belega, Irene V. Toranzo, Alexander I. Aptekarev, “The Shannon entropy of high-dimensional hydrogenic and harmonic systems”, Int. J. Quantum Chem., 119:18 (2019), e25977 , 17 pp.  mathnet  crossref  isi  scopus 25
24. A. I. Aptekarev, Yu. G. Rykov, “Detailed description of the evolution mechanism for singularities in the system of pressureless gas dynamics”, Dokl. Math., 99:1 (2019), 79–82  mathnet  crossref  crossref  zmath  isi  elib  scopus
25. A. I. Aptekarev, Yu. G. Rykov, “Variational principle for multidimensional conservation laws and pressureless media”, Russian Math. Surveys, 74:6 (2019), 1117–1119  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi  elib  scopus
26. A. I. Aptekarev, M. A. Lapik, V. G. Lysov, “Direct and inverse problems for vector logarithmic potentials with external fields”, Anal. Math. Phys., 9:3 (2019), 919–935  mathnet  crossref  mathscinet  zmath  isi  scopus 4
27. A. I. Aptekarev, A. M. Akhtyamov, O. V. Besov, A. A. Vladimirov, B. S. Kashin, K. A. Mirzoev, S. N. Naboko, R. O. Oinarov, I. V. Sadovnichaya, A. M. Savchuk, A. G. Sergeev, V. D. Stepanov, Ya. T. Sultanaev, D. V. Treschev, I. A. Sheipak, “Andrei Andreevich Shkalikov (on his seventieth birthday)”, Trans. Moscow Math. Soc., 80 (2019), 113–122  mathnet  crossref  mathscinet  elib  scopus

   2018
28. A. I. Aptekarev, S. A. Denisov, M. L. Yattselev, “Selfadjoint Jacobi matrices on graphs and multiple orthogonal polynomials”, Keldysh Institute preprints, 2018  mathnet  crossref  elib
29. A. I. Aptekarev, D. N. Tulyakov, “Hesse Parametrization of a Spectral Curve”, Math. Notes, 104:5 (2018), 745–748  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  isi  elib  scopus
30. A. I. Aptekarev, D. N. Tulyakov, “Asymptotical basis of solutions of $q$-recurrence relations outside of the zone of clustering eigenvalues”, Keldysh Institute preprints, 2018  mathnet  crossref  elib
31. A. I. Aptekarev, E. D. Belega, “Asymptotic behaviour of the information entropy of hydrogen-like quantum systems”, Russian Math. Surveys, 73:5 (2018), 922–924  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
32. A. I. Aptekarev, R. Kozhan, “Differential equations for the radial limits in $\mathbb{Z}_+^2$ of the solutions of a discrete integrable system”, Preprinty IPM im. M. V. Keldysha, 2018, 214 , 20 pp.  mathnet  crossref
33. A. I. Aptekarev, A. Draux, D. N. Tulyakov, “On Asymptotics of the Sharp Constants of the Markov–Bernshtein Inequalities for the Sobolev Spaces”, Lobachevskii J. Math., 39:5 (2018), 609–622  mathnet  crossref  mathscinet  zmath  isi  scopus 4
34. Kompleksnyi analiz, matematicheskaya fizika i prilozheniya, Sbornik statei, Trudy MIAN, 301, ed. A. I. Aptekarev, M. O. Katanaev, S. P. Suetin, MAIK «Nauka/Interperiodika», M., 2018 , 335 pp.  mathnet
35. L. A. Aksent'ev, A. I. Aptekarev, A. M. Bikchentaev, V. V. Goryainov, V. N. Dubinin, A. M. Elizarov, I. R. Kayumov, A. Laptev, S. R. Nasyrov, D. V. Prokhorov, A. G. Sergeev, V. D. Stepanov, “Farit Gabidinovich Avkhadiev (on his 70th birthday)”, Russian Math. Surveys, 73:1 (2018), 181–185  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
36. A. I. Aptekarev, O. P. Vinogradov, V. N. Dubrovsky, M. Koloskova, T. P. Lukashenko, I. I. Mel'nikov, Yu. V. Nesterenko, M. K. Potapov, I. Yu. Selivanova, K. V. Semenov, I. N. Sergeev, A. P. Solodov, A. I. Strogova, V. N. Chubarikov, E. V. Shivrinskaya, “Valerii Vasil'evich Vavilov (30.06.1946 – 21.10.2016)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 1, 71–72  mathnet
37. A. I. Aptekarev, V. M. Buchstaber, V. A. Vassiliev, M. L. Gromov, Yu. S. Ilyashenko, B. S. Kashin, V. M. Keselman, V. V. Kozlov, M. L. Kontsevich, I. M. Krichever, N. G. Kruzhilin, S. K. Lando, Yu. I. Manin, G. A. Margulis, S. Yu. Nemirovski, S. P. Novikov, Yu. G. Reshetnyak, Ya. G. Sinai, S. P. Suetin, D. V. Treschev, D. B. Fuchs, A. G. Khovanskii, E. M. Chirka, A. S. Schwarz, A. N. Shiryaev, “Vladimir Antonovich Zorich (on his 80th birthday)”, Russian Math. Surveys, 73:5 (2018), 935–939  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
38. A. I. Aptekarev, V. K. Beloshapka, V. I. Buslaev, V. V. Goryainov, V. N. Dubinin, V. A. Zorich, N. G. Kruzhilin, S. Yu. Nemirovski, S. Yu. Orevkov, P. V. Paramonov, S. I. Pinchuk, A. S. Sadullaev, A. G. Sergeev, S. P. Suetin, A. B. Sukhov, K. Yu. Fedorovskiy, A. K. Tsikh, “Evgenii Mikhailovich Chirka (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1137–1144  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2017
39. A. I. Aptekarev, A. I. Bogolyubskii, M. Yattselev, “Convergence of ray sequences of Frobenius-Padé approximants”, Sb. Math., 208:3 (2017), 313–334  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
40. A. I. Aptekarev, M. A. Lapik, Yu. N. Orlov, “Asymptotic behavior of the spectrum of combination scattering at Stokes phonons”, Theoret. and Math. Phys., 193:1 (2017), 1480–1497  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
41. A. I. Aptekarev, G. López Lagomasino, A. Martínez-Finkelshtein, “On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials”, Russian Math. Surveys, 72:3 (2017), 389–449  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  elib  scopus
42. A. I. Aptekarev, D. N. Tulyakov, “The Hesse coordinates for an algebraic cubic curve”, Keldysh Institute preprints, 2017  mathnet  crossref
43. A. I. Aptekarev, A. Draux, D. N. Tulyakov, “On asymptotics of the sharp constants of the Markov–Bernshtein inequalities for the Sobolev spaces with coherent weights”, Preprinty IPM im. M. V. Keldysha, 2017, 59 , 20 pp.  mathnet  crossref
44. Alexander I. Aptekarev, Walter Van Assche, Maxim L. Yattselev, “Hermite–Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports”, Commun. Pure Appl. Math., 70:3 (2017), 444–510  mathnet  crossref  mathscinet  zmath  isi  scopus 9
45. A. I. Aptekarev, A. L. Afendikov, F. I. Ataullakhanov, N. K. Balabaev, V. N. Biktashev, I. V. Biktasheva, R. M. Borisyuk, N. D. Vvedenskaya, R. D. Dagkesamanskii, Yu. G. Zarkhin, Yu. S. Ilyashenko, V. D. Lakhno, V. Yu. Lunin, N. L. Lunina, E. V. Nikolaev, V. S. Posvyanskii, M. A. Roitberg, V. S. Ryaben'kii, L. B. Ryashko, Ya. G. Sinai, V. M. Tikhomirov, A. A. Tokarev, A. G. Urzhumtsev, A. I. Khibnik, “To the memory of Èmmanuil Èl'evich Shnol'”, Russian Math. Surveys, 72:1 (2017), 185–198  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
46. M. V. Abakumov, A. I. Aptekarev, M. P. Galanin, M. K. Kerimov, O. S. Mazhorova, G. G. Malinetskii, S. I. Mukhin, Yu. A. Poveschenko, B. N. Chetverushkin, V. M. Chechetkin, Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017), 1231–1240  mathnet  crossref  elib

   2016
47. A. I. Aptekarev, S. A. Denisov, “The Steklov problem and estimates for orthogonal polynomials with $A_p(\mathbb{T})$ weights”, Keldysh Institute preprints, 2016, 40–19  mathnet
48. Alexander I. Aptekarev, Maxim Derevyagin, Hiroshi Miki, Walter Van Assche, “Multidimensional Toda Lattices: Continuous and Discrete Time”, SIGMA, 12 (2016), 54, 54–30 , 30 pp., arXiv: 1511.08098  mathnet  crossref  isi  scopus 13
49. A. I. Aptekarev, D. N. Tulyakov, “Nuttall's Abelian integral on the Riemann surface of the cube root of a polynomial of degree 3”, Izv. Math., 80:6 (2016), 997–1034  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
50. A. I. Aptekarev, S. A. Denisov, D. N. Tulyakov, “On a problem by Steklov”, J. Amer. Math. Soc., 29 (2016), 1117–1165  crossref  mathscinet  zmath  isi  elib  scopus 15
51. A. I. Aptekarev, M. Derevyagin, W. Van Assche, “Discrete integrable systems generated by Hermite–Padé approximants”, Nonlinearity, 29 (2016), 1487–1506  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 16
52. A. I. Aptekarev, “The Mhaskar–Saff Variational Principle and Location of the Shocks of Certain Hyperbolic Equations”, Contemporary Mathematics, 661 (2016), 167–186  crossref  mathscinet  zmath  isi  scopus 7
53. A. I. Aptekarev, D. N. Tulyakov, I. V. Toranzo, J. S. Dehesa, “Renyi entropies of the highly-excited states of multidimensional harmonic oscillators by use of strong Laguerre asymptotics”, Eur. Phys. J. B, 89:85 (2016) , 13 pp.  mathscinet
54. A. I. Aptekarev, J. S. Geronimo, “Measures for orthogonal polynomials with unbounded recurrence coefficients”, Journal of Approximation Theory, 207 (2016), 339–347  crossref  mathscinet  zmath  isi  scopus 9
55. A. I. Aptekarev, M. L. Yattselev, “Approximations of algebraic functions by rational ones — functional analogues of diophantine approximants”, Keldysh Institute preprints, 2016  mathnet  crossref
56. A. I. Aptekarev, A. B. Batkhin, A. D. Bruno, “Vladimir Igorevich Parusnikov”, Chebyshevskii Sb., 17:1 (2016), 286–298  mathnet  elib

   2015
57. A. I. Aptekarev, S. A. Denisov, D. N. Tulyakov, “V.A. Steklov's Problem of Estimating the Growth of Orthogonal Polynomials”, Proc. Steklov Inst. Math., 289 (2015), 72–95  mathnet  crossref  crossref  isi  elib  elib  scopus
58. A. I. Aptekarev, D. N. Tulyakov, “The Saturation Regime of Meixner Polynomials and the Discrete Bessel Kernel”, Math. Notes, 98:1 (2015), 180–184  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
59. A. I. Aptekarev, D. N. Tulyakov, “Asymptotics of $L_p$-norms of Laguerre polynomials and entropic moments of $D$-dimensional oscillator”, Preprinty IPM im. M. V. Keldysha, 2015, 41–15  mathnet 1
60. A. I. Aptekarev, D. N. Tulyakov, “Asymptotics of $L_p$-norms of Laguerre polynomials”, Russian Math. Surveys, 70:5 (2015), 955–957  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
61. A. I. Aptekarev, S. A. Denisov, M. Yattselev, “Completely integrable on $\mathbb{Z}_+^d$ potentials for electromagnetic Schrodinger operator: rays asymptotics and scattering problem”, Keldysh Institute preprints, 2015, 88–20  mathnet
62. A. I. Aptekarev, D. N. Tulyakov, M. Yattselev, “On the Parametrization of a Certain Algebraic Curve of Genus 2”, Math. Notes, 98:5 (2015), 843–846  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
63. A. I. Aptekarev, M. L. Yattselev, “Pade approximants for functions with branch points – strong asymptotics of Nuttall–Stahl polynomials”, Acta Math., 215 (2015), 217–280  crossref  mathscinet  zmath  isi  elib  scopus 40
64. A. I. Aptekarev, A. Draux, V. A. Kalyagin, D. N. Tulyakov, “Asymptotics of sharp constants of Markov–Bernstein inequalities in integral norm with jacobi weight”, Proceedings of the American Mathematical Society, 143:9 (2015), 3847–3862  crossref  mathscinet  zmath  isi  scopus 8
65. A. I. Aptekarev, M. Derevyagin, W. Van Assche, “On $2D$ discrete Schrödinger operators associated with multiple orthogonal polynomials”, J. Phys. A: Math. Theor., 48:6 (2015), 065201 , 16 pp.  crossref  mathscinet  zmath  adsnasa  isi  scopus 7
66. A. I. Aptekarev, G. Lopes-Lagomasino, A. Martines-Finkelshtein, “Cilnaya asimptotika sovmestno ortogonalnykh mnogochlenov Pollacheka”, Doklady Akademii Nauk, 465:4 (2015), 393–397  crossref  mathscinet  zmath  elib
67. A. I. Aptekarev, D. N. Toulyakov, W. Van Assche, “Hyperelliptic uniformization of algebraic curves of the third order”, Journal Computational and Applied Mathematics, 284 (2015), 38–49  crossref  mathscinet  zmath  isi  scopus 11

   2014
68. A. I. Aptekarev, D. N. Tulyakov, “Abelian integral of Nuttall on the Riemann surface of the cubic root of the third degree polynomial”, Keldysh Institute preprints, 2014, 15–25  mathnet
69. A. I. Aptekarev, D. N. Tulyakov, “The leading term of the Plancherel-Rotach asymptotic formula for solutions of recurrence relations”, Sb. Math., 205:12 (2014), 1696–1719  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
70. A. I. Aptekarev, A. I. Bogolyubsky, “Matrix Riemann–Hilbert problems for Pade approximants of orthogonal expansions”, Keldysh Institute preprints, 2014, 103–16  mathnet
71. A. I. Aptekarev, “Spectral Problems of High-Order Recurrences”, Amer. Math. Soc. Transl., 233 (2014), 43–61  crossref  mathscinet  zmath 3
72. A. I. Aptekarev, J. Arvesu, “Asymptotics for Multiple Meixner Polynomials”, Journal of Mathematical Analysis and Applications, 411 (2014), 485–505  crossref  mathscinet  zmath  isi  scopus 13
73. A. I. Aptekarev, A. L. Afendikov, V. M. Buchstaber, S. K. Godunov, A. B. Zhizhchenko, V. V. Kozlov, A. I. Maslov, V. P. Platonov, V. F. Tishkin, L. D. Faddeev, “Boris Nikolaevich Chetverushkin (on his 70th birthday)”, Russian Math. Surveys, 69:2 (2014), 387–392  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
74. A. I. Aptekarev, P. A. Borodin, B. S. Kashin, Yu. V. Nesterenko, P. V. Paramonov, A. V. Pokrovskii, A. G. Sergeev, A. T. Fomenko, “Evgenii Prokof'evich Dolzhenko (on his 80th birthday)”, Russian Math. Surveys, 69:6 (2014), 1143–1148  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
75. A. Aptekarev, P. Nevai, V. Totik, “In memoriam: Herbert Stahl, August 3, 1942–April 22, 2013”, Journal Approximation Theory, 183 (2014), A1–A26  crossref  mathscinet  zmath  isi  elib  scopus 2

   2013
76. A. I. Aptekarev, D. N. Tulyakov, “Main term of asymptotics of the solutions of the four-terms recurrence relations”, Keldysh Institute preprints, 2013, 1–20  mathnet
77. A. I. Aptekarev, V. S. Buyarov, “On the Resolvent of the Gauss Operator”, Math. Notes, 94:4 (2013), 590–593  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
78. A. I. Aptekarev, S. A. Denisov, D. N. Tulyakov, “Fejer convolutions for an extremal problem in the Steklov class”, Preprinty IPM, 2013, 76–19  mathnet

   2012
79. A. I. Aptekarev, D. N. Tulyakov, “Asymptotics of Meixner polynomials and Christoffel-Darboux kernels”, Trans. Moscow Math. Soc., 2012, 67–106  mathnet  crossref  mathscinet  zmath  elib  elib  scopus
80. A. I. Aptekarev, D. N. Tulyakov, “Geometry of Hermite-Padé approximants for system of functions $\{f,f^2\}$ with three branch points”, Preprinty IPM, 2012, 77–25  mathnet 6
81. A. I. Aptekarev, D. N. Tulyakov, “Asymptotics of $L_p$-norms of Hermite polynomials”, Preprinty IPM, 2012, 70–22  mathnet
82. A. I. Aptekarev, R. È. Akhmedov, V. S. Buyarov, “Representation of the Gauss-Babenko operator in the power series basis”, Keldysh Institute preprints, 2012, 69–23  mathnet
83. A. I. Aptekarev, “Integrable Semidiscretization of Hyperbolic Equations – “Computational” Dispersion and Multidimensional Perspective”, Keldysh Institute preprints, 2012, 20–28  mathnet
84. A. I. Aptekarev, J. S. Dehesa, P. Sánchez-Moreno, D. N. Tulyakov, “Asymptotics of $Lp$-norms of Hermite polynomials and Renyi entropy of Rydberg oscillator states”, Contemporary Mathematics, 578 (2012), 19–29  crossref  mathscinet  zmath  isi 21
85. A. I. Aptekarev, J. S. Dehesa, P. Sánchez-Moreno, D. N. Tulyakov, “Rényi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals”, J. Math. Chem., 50 (2012), 1079–1090  crossref  mathscinet  zmath  isi  elib  scopus 13

   2011
86. A. I. Aptekarev, D. N. Tulyakov, “Asymptotic regimes in saturation zones for the C-D-kernels for an ensemble of Meixner orthogonal polynomials”, Russian Math. Surveys, 66:1 (2011), 173–175  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
87. A. I. Aptekarev, V. G. Lysov, D. N. Tulyakov, “Random matrices with external source and the asymptotic behaviour of multiple orthogonal polynomials”, Sb. Math., 202:2 (2011), 155–206  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
88. A. I. Aptekarev, A. Kuijlaars, “Hermite–Padé approximations and multiple orthogonal polynomial ensembles”, Russian Math. Surveys, 66:6 (2011), 1133–1199  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
89. A. I. Aptekarev, V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, “Padé approximants, continued fractions, and orthogonal polynomials”, Russian Math. Surveys, 66:6 (2011), 1049–1131  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
90. A. I. Aptekarev, A. L. Afendikov, B. N. Chetverushkin, “M. V. Keldysh, scientist and statesman (on the centenary of his birth)”, Russian Math. Surveys, 66:1 (2011), 183–196  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
91. A. I. Aptekarev, G. López Lagomasino, E. B. Saff, V. Totik, H. Stahl, “Andrei Aleksandrovich Gonchar (on his 80th birthday)”, Russian Math. Surveys, 66:6 (2011), 1209–1216  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
92. A. I. Aptekarev, “Matematicheskii portret”, Priroda, 2011, no. 2, 42–49

   2010
93. A. I. Aptekarev, V. G. Lysov, “Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants”, Sb. Math., 201:2 (2010), 183–234  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
94. A. I. Aptekarev, J. S. Dehesa, A. Martínez-Finkelshtein, R. J. Yáñez, “Quantum expectation values of $D$-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics”, J. Phys. A, 43:14 (2010), 145204 , 10 pp.  crossref  mathscinet  zmath  adsnasa  isi  scopus 15
95. A. I. Aptekarev, J. S. Dehesa, A. Martinez-Finkelshtein, “Asymptotics of orthogonal polynomial's entropy”, J. Comput. Appl. Math., 233:6 (2010), 1355–1365  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 30

   2009
96. A. I. Aptekarev, V. G. Lysov, D. N. Tulyakov, “Global eigenvalue distribution regime of random matrices with an anharmonic potential and an external source”, Theoret. and Math. Phys., 159:1 (2009), 448–468  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
97. A. I. Aptekarev, V. A. Kalyagin, V. G. Lysov, D. N. Toulyakov, “Equilibrium of vector potentials and uniformization of the algebraic curves of genus 0”, J. Comput. Appl. Math., 233:3 (2009), 602–616  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 21
98. A. I. Aptekarev, D. N. Tulyakov, “On the determinant of an integral lattice generated by rational approximants of the Euler constant”, Tr. Mosk. Mat. Obs., 70 (2009), 329–345  mathscinet  zmath
99. A. I. Aptekarev, V. A. Kalyagin, E. B. Saff, “Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials”, Constr. Approx., 30:2 (2009), 175–223  crossref  mathscinet  zmath  isi  elib  scopus 48
100. A. I. Aptekarev, J. S. Dehesa, A. Martínez-Finkelshtein, R. J. Yáñez, “Discrete entropies of orthogonal polynomials”, Constr. Approx., 30:1 (2009), 93–119  crossref  mathscinet  zmath  isi  elib  scopus 10

   2008
101. A. I. Aptekarev, “Asymptotics of Hermite-Padé approximants for a pair of functions with branch points”, Dokl. Math., 78:2 (2008), 717–719  mathnet  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
102. A. I. Aptekarev, J. S. Geronimo, Van W. Assche, “Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients”, J. Approx. Theory, 150:2 (2008), 214–238  crossref  mathscinet  zmath  isi  elib  scopus 5
103. A. I. Aptekarev, “Matrix Riemann–Hilbert analysis for the case of higher genus — asymptotics of polynomials orthogonal on a system of intervals”, Preprinty IPM, 2008, 28–23  mathnet 1

   2011
104. A. I. Aptekarev, “Preface”, Proc. Steklov Inst. Math., 272, suppl. 2 (2011), 138–141  mathnet  crossref  crossref  zmath  isi  scopus

   2007
105. A. Aptekarev, R. Khabibullin, “Asymptotic series for polynomials orthogonal with respect to a complex varying weight”, Tr. Mosk. Mat. Obs., 68 (2007), 3–43  mathscinet  zmath
106. A. I. Aptekarev, A. B. J. Kuijlaars, Van W. Assche, “Asymptotics of Hermite-Padé rational approximants for two analytic functions with separated pairs of branch points (case of genus 0)”, Int. Math. Res. Pap. IMRP, 2007, no. 4, Art. ID rpm007, 128 pp. (2008)  mathscinet

   2011
107. A. I. Aptekarev, D. N. Tulyakov, “Four-termed recurrence relations for $\gamma$-forms”, Proc. Steklov Inst. Math., 272, suppl. 2 (2011), 157–161  mathnet  crossref  crossref  zmath  isi  scopus
108. A. I. Aptekarev, V. G. Lysov, “Asymptotics of $\gamma$-forms jointly generated by orthogonal polynomials”, Proc. Steklov Inst. Math., 272, suppl. 2 (2011), 168–173  mathnet  crossref  crossref  zmath  isi  scopus

   2007
109. A. I. Aptekarev, V. G. Lysov, D. N. Tulyakov, “Three-sheeted Riemann surfaces of genus 0 with fixed projections of the branch points”, Keldysh Institute preprints, 2007, 13–21  mathnet
110. M. S. Agranovich, A. I. Aptekarev, A. L. Afendikov, N. D. Vvedenskaya, M. I. Vishik, S. G. Gindikin, M. M. Malamud, B. P. Paneah, E. V. Radkevich, V. M. Tikhomirov, A. R. Shirikyan, “Leonid Romanovich Volevich (obituary)”, Russian Math. Surveys, 62:6 (2007), 1187–1190  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
111. Ratsionalnye priblizheniya postoyannoi Eilera i rekurrentnye sootnosheniya, Sbornik statei, Sovr. probl. matem., 9, ed. A. I. Aptekarev, MIAN, M., 2007 , 84 pp.  mathnet  zmath

   2006
112. A. I. Aptekarev, Yu. G. Rykov, “On a variational representation of solutions of a hyperbolic system of equations by means of the logarithmic potential in an external field”, Dokl. Akad. Nauk, 409:1 (2006), 12–14  mathnet  mathscinet  zmath 4
113. A. I. Aptekarev, Yu. G. Rykov, “On the variational representation of solutions to some quasilinear equations and systems of hyperbolic type on the basis of potential theory”, Russ. J. Math. Phys., 13:1 (2006), 4–12  crossref  mathscinet  zmath  isi  elib  scopus 15
114. A. Aptekarev, A. Cachafeiro, F. Marcellán, “A scalar Riemann boundary value problem approach to orthogonal polynomials on the circle”, J. Approx. Theory, 141:2 (2006), 174–181  crossref  mathscinet  zmath  isi  elib  scopus 3
115. A. I. Aptekarev, V. Kalyagin, López G. Lagomasino, I. A. Rocha, “On the limit behavior of recurrence coefficients for multiple orthogonal polynomials”, J. Approx. Theory, 139:1-2 (2006), 346–370  crossref  mathscinet  zmath  isi  elib  scopus 36

   2005
116. A. I. Aptekarev, G. López Lagomasino, I. Alvarez Rocha, “Ratio asymptotics of Hermite–Padé polynomials for Nikishin systems”, Sb. Math., 196:8 (2005), 1089–1107  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
117. A. I. Aptekarev, P. M. Bleher, A. B. J. Kuijlaars, “Large $n$ limit of Gaussian random matrices with external source. II”, Comm. Math. Phys., 259:2 (2005), 367–389  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 106

   2004
118. A. I. Aptekarev, L. R. Volevich, É. P. Kazandjan, “Numerical method of solving the direct and inverse problems of conformal mappings”, Russ. J. Math. Phys., 11:3 (2004), 277–288  mathscinet  zmath  isi  scopus
119. A. I. Aptekarev, L. R. Volevich, “Some mathematical aspects of potential flow computation”, Russ. J. Math. Phys., 11:3 (2004), 259–276  mathscinet  zmath  isi  scopus
120. A. I. Aptekarev, Van W. Assche, “Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight”, J. Approx. Theory, 129:2 (2004), 129–166  crossref  mathscinet  zmath  isi  scopus 46
121. M. S. Agranovich, A. I. Aptekarev, N. D. Vvedenskaya, M. I. Vishik, S. G. Gindikin, A. M. Il'in, V. P. Maslov, M. M. Malamud, B. P. Paneah, V. M. Tikhomirov, A. R. Shirikyan, “Leonid Romanovich Volevich (on his 70th birthday)”, Russian Math. Surveys, 59:5 (2004), 991–1000  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
122. A. I. Aptekarev, A. L. Afendikov, V. V. Voevodin, et al., “Yulian Borisovich Radvogin”, Russ. J. Math. Phys., 11:3 (2004), 243–249  mathscinet  zmath  isi

   2003
123. A. I. Aptekarev, A. Branquinho, Van W. Assche, “Multiple orthogonal polynomials for classical weights”, Trans. Amer. Math. Soc., 355:10 (2003), 3887–3914 (electronic)  crossref  mathscinet  zmath  isi  scopus 104
124. A. I. Aptekarev, A. Branquinho, “Padé approximants and complex high order Toda lattices”, J. Comput. Appl. Math., 155:2 (2003), 231–237  crossref  mathscinet  zmath  adsnasa  isi  scopus 16

   2002
125. A. I. Aptekarev, “Sharp constants for rational approximations of analytic functions”, Sb. Math., 193:1 (2002), 1–72  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
126. A. I. Aptekarev, A. Draux, D. Toulyakov, “Discrete spectra of certain co-recursive Pollaczek polynomials and its applications”, Comput. Methods Funct. Theory, 2:2 (2002), 519–537  crossref  mathscinet  zmath 6
127. A. I. Aptekarev, G. T. López Lagomasino, F. Marcellán, “Orthogonal polynomials with respect to a differential operator. Existence and uniqueness”, Conference on Special Functions (Tempe, AZ, 2000), Rocky Mountain J. Math., 32:2 (2002), 467–481  crossref  mathscinet  zmath  isi  scopus 6
128. A. I. Aptekarev, M. A. Lapik, “Lagrange Spectrum and Dynamics on the Invariant Sets of Linear-Fractional IFS-s.”, Keldysh Institute preprints, 2002, 43–I  mathnet

   2001
129. A. I. Aptekarev, Van W. Assche, “Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice”, Symmetries and integrability of difference equations (Tokyo, 2000), J. Phys. A, 34:48 (2001), 10627–10637  crossref  mathscinet  zmath  adsnasa  isi  scopus 17
130. A. I. Aptekarev, W. Van Assche, “A matrix Riemann-Hilbert problem approach to the strong asymptotics of orthogonal polynomials with respect to a complex weight”, Keldysh Institute preprints, 2001, 27–I  mathnet
131. A. I. Aptekarev, W. Van Assche, S. P. Suetin, “A scalar Riemann problem approach to the strong asymptotics of Padé approximates and orthogonal polynomials”, Keldysh Institute preprints, 2001, 26–I  mathnet

   2000
132. A. I. Aptekarev, A. Draux, V. A. Kalyagin, “On the asymptotics of sharp constants in Markov–Bernstein inequalities in integral metrics with classical weight”, Russian Math. Surveys, 55:1 (2000), 163–165  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
133. A. I. Aptekarev, Kastro M. Smirnova, “Convergence of vector Stieltjes continued fractions”, Dokl. Akad. Nauk, 375:6 (2000), 727–729  mathnet  mathscinet  zmath
134. A. Aptekarev, E. Berriochoa, A. Cachafeiro, “On a characterization of integrability for the reciprocal weight of orthogonal polynomials on the circle”, Acta Appl. Math., 61:1-3 (2000), 81–86  crossref  mathscinet  zmath  isi  scopus
135. A. Aptekarev, V. Kaliaguine, Van J. Iseghem, “The genetic sums' representation for the moments of a system of Stieltjes functions and its application”, Constr. Approx., 16:4 (2000), 487–524  crossref  mathscinet  zmath  isi  scopus 51
136. A. I. Aptekarev, W. Van Assche, A. B. Kuijlaars, “The continuum limit of the Toda lattice and discrete orthogonal polynomials”, Keldysh Institute preprints, 2000, 12–I  mathnet

   1999
137. A. I. Aptekarev, “Strong asymptotics of multiply orthogonal polynomials for Nikishin systems”, Sb. Math., 190:5 (1999), 631–669  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
138. A. I. Aptekarev, V. A. Kaliaguine, “On a generalization of the nonlinear Langmuir chains”, Self-similar systems (1998, Dubna), Joint Inst. Nuclear Res., Dubna, 1999, 289–294  mathscinet  zmath
139. A. Aptekarev, E. Berriochoa, A. Cachafeiro, “Strong asymptotics for the continuous Sobolev orthogonal polynomials on the unit circle”, J. Approx. Theory, 100:2 (1999), 381–391  crossref  mathscinet  zmath  isi  scopus 9

   1998
140. A. I. Aptekarev, “Multiple orthogonal polynomials”, J. Comput. Appl. Math., 99:1-2 (1998), 423–447  crossref  mathscinet  zmath  isi  scopus 124
141. A. Aptekarev, V. Kaliaguine, “Complex rational approximation and difference operators”, Rend. Circ. Mat. Palermo (2) Suppl., I:52 (1998), 3–21  mathscinet  zmath
142. J. S. Dehesa, R. J. Yáñez, A. I. Aptekarev, V. Buyarov, “Strong asymptotics of Laguerre polynomials and information entropies of two-dimensional harmonic oscillator and one-dimensional Coulomb potentials”, J. Math. Phys., 39:6 (1998), 3050–3060  crossref  mathscinet  zmath  adsnasa  isi  scopus 67

   1997
143. A. I. Aptekarev, F. Marcellán, I. A. Rocha, “Semiclassical multiple orthogonal polynomials and the properties of Jacobi-Bessel polynomials”, J. Approx. Theory, 90:1 (1997), 117–146  crossref  mathscinet  zmath  isi  scopus 32
144. A. I. Aptekarev, A. Branquinho, F. Marcellán, “Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation”, J. Comput. Appl. Math., 78:1 (1997), 139–160  crossref  mathscinet  zmath  isi  scopus 34

   1996
145. A. I. Aptekarev, V. S. Buyarov, Van V. Asse, I. S. Degeza, “Asymptotics of entropy integrals for orthogonal polynomials”, Dokl. Akad. Nauk, 346:4 (1996), 439–441  mathnet  mathnet  mathscinet  zmath  isi  scopus 2
146. S. P. Novikov, A. I. Aptekarev, E. P. Dolzhenko, V. A. Kalyagin, V. V. Kozlov, Yu. V. Nesterenko, M. K. Potapov, V. N. Sorokin, P. L. Ul'yanov, “Evgenii Mikhailovich Nikishin (on the fiftieth anniversary of his birth)”, Russian Math. Surveys, 51:2 (1996), 361–362  mathnet  crossref  crossref  mathscinet  adsnasa  isi

   1995
147. A. I. Aptekarev, V. Kaliaguine, Van W. Assche, “Criterion for the resolvent set of nonsymmetric tridiagonal operators”, Proc. Amer. Math. Soc., 123:8 (1995), 2423–2430  crossref  mathscinet  zmath  isi  scopus 19
148. A. I. Aptekarev, V. A. Kalyagin, V. V. Kozlov, M. K. Potapov, V. N. Sorokin, P. L. Ul'yanov, A. T. Fomenko, A. B. Shidlovskiĭ, “Evgeniĭ Mikhaĭlovich Nikishin”, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 1995, no. 6, 110–111  mathnet  mathscinet  zmath  isi
149. A. I. Aptekarev, V. S. Buyarov, I. S. Degeza, “Asymptotic behavior of the $l^P$-norms and the entropy for general orthogonal polynomials”, Russian Acad. Sci. Sb. Math., 82:2 (1995), 373–395  mathnet  crossref  mathscinet  zmath  isi  scopus

   1993
150. A. I. Aptekarev, “A direct proof for Trefethen's conjecture”, Methods of Approximation Theory in Complex Analysis and Mathematical Physics, May 13–24, 1991, Leningrad, Lecture Notes in Math., 1550, Springer, Berlin, 1993, 147–148  crossref  mathscinet  zmath
151. A. I. Aptekarev, “Asymptotics of orthogonal polynomials in a neighborhood of the endpoints of the interval of orthogonality”, Russian Acad. Sci. Sb. Math., 76:1 (1993), 35–50  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1992
152. A. I. Aptekarev, H. Stahl, “Asymptotics of Hermite-Padé polynomials”, Progress in approximation theory (1990, Tampa, FL), Springer Ser. Comput. Math., 19, Springer, New York, 1992, 127–167  crossref  mathscinet  zmath 28

   1989
153. A. I. Aptekarev, “Asymptotics of simultaneously orthogonal polynomials in the Angelesco case”, Math. USSR-Sb., 64:1 (1989), 57–84  mathnet  crossref  mathscinet  zmath  isi  scopus

   1988
154. A. I. Aptekarev, L. R. Volevich, “The finite element method in a problem of subsonic potential flows of compressible gas around bodies”, Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, 1988, no. 74, 26  mathscinet
155. A. I. Aptekarev, L. R. Volevich, “Calculation of subsonic potential flow around smooth and pointed profiles by means of higher-order finite elements”, Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, 1988, no. 103, 25  mathscinet  zmath
156. A. I. Aptekarev, “Asymptotics of orthogonal polynomials with matrix coefficients”, Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, 1988, no. 71, 28  mathscinet
157. A. I. Aptekarev, L. R. Volevich, “Calculation of axially symmetric potential subsonic flows by means of higher-order finite elements”, Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, 1988, no. 101, 27  mathscinet

   1987
158. A. I. Aptekarev, “Asymptotic behavior of polynomials of simultaneous orthogonality and of a system of extremal problems for analytic functions”, Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, 1987, no. 168, 29  mathscinet
159. A. I. Aptekarev, V. A. Kalyagin, “Analytic properties of two-dimensional continued $P$-fraction expansions with periodic coefficients and their simultaneous Padé-Hermite approximants”, Rational approximation and applications in mathematics and physics (Łańcut, 1985), Lecture Notes in Math., 1237, Springer, Berlin, 1987, 145–160  crossref  mathscinet 4
160. A. I. Aptekarev, V. V. Kozlov, A. M. Olevskiĭ, M. K. Potapov, P. L. Ul'yanov, A. B. Shidlovskiĭ, “In memory of Evgeniĭ Mikhaĭlovich Nikishin”, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 1987, no. 6, 88–91  mathnet  mathscinet  mathscinet  zmath  isi  scopus

   1986
161. A. I. Aptekarev, “Forced motions of a one-sided Langmuir chain”, Theory of functions and approximations, Part 2 (Russian) (Saratov, 1984), Saratov. Gos. Univ., Saratov, 1986, 17–21  mathscinet
162. A. I. Aptekarev, V. A. Kalyagin, “Analytic properties of functions representable by $P^{(m)}$-fractions with periodic coefficients”, Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, 1986, no. 57, 12  mathscinet
163. A. I. Aptekarev, V. A. Kalyagin, “Asymptotic behavior of an $n$th degree root of polynomials of simultaneous orthogonality, and algebraic functions”, Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, 1986, no. 60, 18  mathscinet

   1985
164. A. I. Aptekarev, “Analytic properties of functions represented by two-dimensional continued fractions with constant coefficients and their simultaneous Padé-Hermite approximants (type ${\rm II}$)”, Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, 1985, no. 79, 12  mathscinet

   1986
165. A. I. Aptekarev, “Asymptotic properties of polynomials orthogonal on a system of contours, and periodic motions of Toda lattices”, Math. USSR-Sb., 53:1 (1986), 233–260  mathnet  crossref  mathscinet  zmath  scopus

   1984
166. A. I. Aptekarev, E. M. Nikishin, “The scattering problem for a discrete Sturm–Liouville operator”, Math. USSR-Sb., 49:2 (1984), 325–355  mathnet  crossref  mathscinet  zmath  scopus

   1981
167. A. I. Aptekarev, “On Padé approximations for the set $\{_{1}F_{1}(1,\,c;\,\lambda _{i}z)\}^{k}_{i=1}$”, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 1981, no. 2, 58–62, 88  mathscinet  zmath  isi
168. A. I. Aptekarev, “Convergence of rational approximations to a set of exponential functions”, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 1981, no. 1, 68–74, 108  mathscinet  zmath  isi

   1982
169. A. I. Aptekarev, “Asymptotics of Hadamard determinants and the convergence of rows of Padé approximants for sums of exponentials”, Math. USSR-Sb., 41:4 (1982), 427–441  mathnet  crossref  mathscinet  zmath  scopus

Presentations in Math-Net.Ru
1. Distribution of eigenvalues of normal random matrices (continuation)
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
December 23, 2024 17:00
2. Distribution of eigenvalues of normal random matrices
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
December 16, 2024 17:00
3. The asymptotics of solutions to the discrete Painleve equation I and the distribution of eigenvalues of random normal matrices
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
June 3, 2024 17:00
4. М. В. Келдыш: становление отечественной вычислительной математики и техники
A. I. Aptekarev, B. N. Chetverushkin
General Meeting of the Branch of Mathematical Sciences, RAS, 2024
May 27, 2024   
5. Ансамбли случайных матриц и совместно ортогональные многочлены
A. I. Aptekarev
XXII International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", dedicated to the 300th anniversary of the Russian Academy of Sciences
January 28, 2024 12:00   
6. Hyperbolic volume of 3-d manifolds, A-polynomials, numerical hypothesis testing
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
December 18, 2023 17:00
7. Szegő asymptotics for multiple orthogonal polynomials with respect to Angelesco weights
A. I. Aptekarev
Spectral theory, nonlinear problems, and applications
December 9, 2023 12:50
8. On the strong asymptotics of Hermite–Padé̀ polynomials of the second type for the Angelesco system (continuation)
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
October 30, 2023 17:00
9. On the strong asymptotics of Hermite–Padè polynomials of the second type for the Angelesco system
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
October 23, 2023 17:00
10. Рациональные приближения функций и чисел — 2
A. I. Aptekarev
Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2023
July 28, 2023 09:30   
11. Рациональные приближения функций и чисел
A. I. Aptekarev
Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2023
July 26, 2023 09:30   
12. Meeting in memory of V. N. Sorokin (1957-2022)
A. I. Aptekarev, V. G. Lysov
Seminar on Complex Analysis (Gonchar Seminar)
May 29, 2023 17:00
13. Прикладная математика ‒ ХХI век. К юбилею Института прикладной математики им. М. В. Келдыша РАН
A. I. Aptekarev
General Meeting of the Branch of Mathematical Sciences, RAS, 2023
May 22, 2023   
14. Stiltjes string, Krein string and de Brange canonical systems
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
March 20, 2023 17:00
15. The Emergence of a Hierarchy of Singularities in Media with Constant Pressure and the Large-Scale Structure of the Universe
A. I. Aptekarev
International Conference Dedicated to the 100th Anniversary of the Birthday of V. S. Vladimirov (Vladimirov-100)
January 11, 2023 11:30   
16. Volume Conjecture and WKB Asymptotics
A. I. Aptekarev

October 27, 2022 11:00
17. Asymptotics of colored Jones polynomials and $q$-recurrence relations
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
October 3, 2022 17:00
18. Functional analogue of the Thue–Siegel–Roth theorem
A. I. Aptekarev
“Algebra, algebraic geometry, and number theory”. Memorial conference for academician Igor Rostislavovich Shafarevich
June 6, 2022 16:50   
19. The rate of approximation of analytical functions by rational functions and the equilibrium problems of the logarithmic potential
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
April 4, 2022 17:00
20. Скорость приближения аналитических функций рациональными и равновесие логарифмического потенциала
A. I. Aptekarev
Meeting-conference dedicated to the memory of academician A. A Gonchar
March 29, 2022 13:55
21. Recurrence relations and asymptotics of colored Jones polynomials
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
November 1, 2021 17:00
22. Recurrence relations and asymptotics of colored Jones polynomials
A. I. Aptekarev
Analysis days in Sirius
October 28, 2021 12:30
23. Opening
A. I. Aptekarev
International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin
October 11, 2021 10:50   
24. Multiple Orthogonal Polynomials with respect to Hermite weights: applications and asymptotics
Alexander Aptekarev
International Conference on Mathematical Physics in Memory of Academic V. S. Vladimirov
November 25, 2020 17:45   
25. Markov spectrum and some applications
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
November 2, 2020 17:00
26. Supercomputing in geo and astrophysics: mathematical aspects
A. I. Aptekarev
SIMC Open
December 23, 2019 16:20   
27. On the Steklov problem in the space $L^p$
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
December 9, 2019 17:00
28. Spectral properties of difference operators on graph-trees
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
October 28, 2019 17:00
29. О спектре дискретного оператора Шрёдингера на графе
A. I. Aptekarev
Seminar on Theory of Functions of Real Variables
October 25, 2019 18:30
30. О спектре некоторого класса самосопряженных операторов на графе-дереве
A. I. Aptekarev
International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics"
September 18, 2019 11:55   
31. Extremal sets in the complex plane: Chebotarev, Stahl and Nuttall compacts
A. I. Aptekarev
The 27th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications
August 12, 2019 11:00   
32. On Spectrum of a Selfadjoint Difference Operator on the Graph-Tree
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
June 17, 2019 17:00
33. On the recurrence relations for Hermite–Padé polynomials
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
April 22, 2019 17:00
34. Presentations on the materials of the conferences
A. I. Aptekarev, E. M. Chirka
Seminar on Complex Analysis (Gonchar Seminar)
May 28, 2018 17:00
35. Some open problems and conjectures in the theory of Hermite–Padé polynomials (continuation)
A. I. Aptekarev, S. P. Suetin
Seminar on Complex Analysis (Gonchar Seminar)
April 2, 2018 17:00
36. Some open problems and conjectures in the theory of Hermite–Padé polynomials
A. I. Aptekarev, S. P. Suetin
Seminar on Complex Analysis (Gonchar Seminar)
March 26, 2018 17:00
37. On the asymptotics of the sequence of $q$-polynomials given by certain recurrence relations
A. I. Aptekarev, D. N. Tulyakov
Seminar on Complex Analysis (Gonchar Seminar)
February 5, 2018 17:00
38. On Padé approximants of analytic functions on a Riemann surface (continuation)
E. M. Chirka, A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
December 11, 2017 17:00
39. Self-adjoint operator on a graph-tree and Hermite–Padé approximants
A. I. Aptekarev
International Conference on Complex Analysis, dedicated of 75th anniversary E. M. Chirki
December 4, 2017 15:10   
40. Функциональный аналог теоремы Туэ-Зигеля-Рота
A. I. Aptekarev
Seminar on Theory of Functions of Real Variables
April 21, 2017 18:30
41. Hesse coordinates for an ultra elliptical 3rd order curve
A. I. Aptekarev, D. N. Tulyakov
Seminar on Complex Analysis (Gonchar Seminar)
February 27, 2017 17:00
42. Проблема Стеклова и оценки многочленов, ортогональных относительно отграниченных от нуля весов
A. I. Aptekarev
Seminar on Theory of Functions of Real Variables
November 18, 2016 18:30
43. Rational approximation of the algebraic functions and functional analogues of the Diophantine approximations
A. I. Aptekarev
Shafarevich Seminar
October 18, 2016 15:00
44. Rational approximation of analytic functions: potential theory approach of Gonchar and modern development
A. I. Aptekarev
International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin
October 10, 2016 10:00   
45. Steklov problem and estimates on continuous spectrum
A. I. Aptekarev
Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences
September 29, 2016 17:00   
46. Проблема Стеклова и оценки многочленов, ортогональных относительно весов из классов $А_р$
A. I. Aptekarev
Seminar on Operator Theory and Function Theory
April 18, 2016 17:30
47. Uniform bounds for orthogonal polynomials from the Steklov class and its embeddings
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
April 11, 2016 17:00
48. On asymptotics of spectra for one quantum optic scattering problem
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
February 8, 2016 17:00
49. On a functional analog of the Thue-Siegel-Roth theorem
A. I. Aptekarev
Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications
January 29, 2016 17:30   
50. Szegő-type asymptotics for ray sequences of Frobenius–Padé approximants
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
November 30, 2015 17:00
51. Asymptotics of $L^p$-norm of Laguerre polynomials
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
June 22, 2015 18:00
52. TBA
A. I. Aptekarev, V. I. Buslaev
Seminar on Complex Analysis (Gonchar Seminar)
March 23, 2015 18:00
53. On one Stahl problem, part II
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
December 22, 2014 18:00
54. On one Stahl's problem
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
November 24, 2014 18:00
55. Recurrence relations for the multiple-orthogonal polynomials
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
June 9, 2014 18:00
56. On the structure of the level curves of the Abelian integral of the third kind on the Riemann surface of the function $w^3=(z^2-1)(z-a)$
A. I. Aptekarev, D. N. Tulyakov
Seminar on Complex Analysis (Gonchar Seminar)
April 28, 2014 18:00
57. Abelian integral of Nuttall on the Riemann surface of the cube root of the polynomial 3rd degree (continuation)
A. I. Aptekarev, D. N. Tulyakov
Seminar on Complex Analysis (Gonchar Seminar)
February 24, 2014 18:00
58. Abelian integral of Nuttall on the Riemann surface of the cube root of the polynomial 3rd degree
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
February 17, 2014 18:00
59. Многомерные решетки классических ортогональных многочленов
A. I. Aptekarev
I. M. Gelfand and Modern Mathematics
December 18, 2013 12:35   
60. Sharp constants for the rate of approximation of analytic functions by rationals
A. I. Aptekarev
Memorial conference dedicated to the memory of academician Andrei Aleksandrovich Gonchar
November 26, 2013 11:00   
61. On extremal polynomials in the Steklov class (continuation)
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
September 30, 2013 18:00
62. On extremal polynomials in the Steklov class
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
September 23, 2013 18:00
63. Brownian bridges and multiple orthogonal polynomial ensembles
A. I. Aptekarev
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
September 16, 2013 13:00   
64. On the exact constants in Markov–Bernstein inequalities in the $L_2$-norm with classical weights
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
March 18, 2013 18:00
65. On the estimates of the growth of orthogonal polynomials
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
January 28, 2013 18:00
66. On some unsolved problems of Gonchar
E. M. Chirka, S. P. Suetin, A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
November 19, 2012 18:00
67. On the stratification of sheeted torus from the Nuttall class
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
October 29, 2012 18:00
68. Continuum limits of integrable systems
Alexander Aptekarev
School-Seminar "Interaction of Mathematics and Physics: New Perspectives" for graduate students and young researchers
August 30, 2012 17:00   
69. Random ensembles of normal matrices and polynomials orthogonal over a region
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
June 18, 2012 18:00
70. Workshop "Vector equilibrium problems and their applications to random matrix models" (2–6 April, 2012, American Institute of Mathematics, Palo Alto, California)
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
April 23, 2012 18:00
71. On the normality of Pade approximants for multivalues analytic functions with a finite number of branching points
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
February 6, 2012 18:00
72. Family of equilibrium measures, shocks and multidimensional perspective
A. I. Aptekarev
International Workshop on Complex Analysis and its Applications
December 26, 2011 12:00   
73. On a theorem of Saff
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
November 28, 2011 18:00
74. On a conjecture of Stahl–Nuttall
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
September 26, 2011 18:00
75. 11th International Workshop on Orthogonal Poloynomials, Special Functions, and Applications (continuation)
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
September 12, 2011 18:00
76. 11th International Workshop on Orthogonal Poloynomials, Special Functions, and Applications (OPSFA-2011, August 29–September 02, 2011, Madrid, Spain)
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
September 5, 2011 18:00
77. O the Rakhmanov's ratio theorem and v-d (values ​​distribution) convergence of Nevanlinna class functions
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
June 20, 2011 18:00
78. Asymptotic saturation regimes for ensembles of Meixner orthogonal polynomials (continuatin)
A. I. Aptekarev, D. N. Tulyakov
Seminar on Complex Analysis (Gonchar Seminar)
February 7, 2011 18:00
79. Asymptotic saturation regimes for ensembles of Meixner orthogonal polynomials (continuatin)
A. I. Aptekarev, D. N. Tulyakov
Seminar on Complex Analysis (Gonchar Seminar)
December 27, 2010 18:00
80. Asymptotic saturation regimes for ensembles of Meixner orthogonal polynomials
A. I. Aptekarev, D. N. Tulyakov
Seminar on Complex Analysis (Gonchar Seminar)
December 20, 2010 18:00
81. On the strong asymptotics for Hermite-Padé polynomials for two functions (a case of three branch points)
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
October 25, 2010 18:00
82. Some new results in the orthogonal polynomials theory (on the base of International Conference, Banff International Research Station, Alberta, Canada)
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
October 18, 2010 18:00
83. Random matrices with an external source and asymptotics of multiple orthogonal polynomials
A. I. Aptekarev, V. G. Lysov
Seminar on Complex Analysis (Gonchar Seminar)
March 29, 2010 18:00
84. Structure of multi-valued analytic functions and Hermite–Padé Approximants
A. I. Aptekarev
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
May 18, 2009 13:00   
85. Hermite-Padé approximants for systems of Markov functions generated by cyclic
A. Aptekarev
Conference in honor of Guillermo Lуpez Lagomasino's 60th birthday "International Workshop on Orthogonal Polynomials and Approximation Theory" IWOPA'08
September 9, 2008 09:30   
86. Вариационный принцип для некоторых нелинейных гиперболических уравнений и систем
A. I. Aptekarev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 14, 2006

Books in Math-Net.Ru
  1. Complex analysis, mathematical physics, and applications, Collected papers, Trudy Mat. Inst. Steklova, 301, ed. A. I. Aptekarev, M. O. Katanaev, S. P. Suetin, 2018, 335 с.
    http://mi.mathnet.ru/book1696
  2. Rational Approximation of Euler's Constant and Recurrence Relations, Collected papers, Sovrem. Probl. Mat., 9, ed. A. I. Aptekarev, 2007, 84 с.
    http://mi.mathnet.ru/book232

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