Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Aptekarev, Alexander Ivanovich

Total publications: 169 (143)
in MathSciNet: 124 (106)
in zbMATH: 100 (85)
in Web of Science: 102 (86)
in Scopus: 92 (89)
Cited articles: 103
Citations: 2039
Presentations: 84

Number of views:
This page:14444
Abstract pages:45054
Full texts:14842
References:3787
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/?q=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

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


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

Articles

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, V. Yu. Novokshenov, Mat. Zametki, 116:6 (2024), 823–837 (to appear)  mathnet
3. 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  adsnasa  isi  scopus
4. 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
5. 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  adsnasa  isi  scopus
6. 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
7. A. I. Aptekarev, M. Yattselev, Tr. Mosk. Mat. Obs., 83, no. 2, MCCME, M., 2022, 297–318  mathnet
8. 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
9. 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
10. 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
11. 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
12. 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
13. 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
14. 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
15. 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
16. 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
17. 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
18. 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
19. 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
20. 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
21. 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
22. 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
23. 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
24. 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  adsnasa  isi  elib  elib  scopus
25. 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
26. 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
27. 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
28. 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
29. 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  adsnasa  isi  elib  elib  scopus
30. 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
31. 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
32. 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
33. 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
34. 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
35. 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
36. 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
37. 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
38. 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
39. 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 38
40. 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
41. 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
42. 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
43. 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
44. 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
45. A. I. Aptekarev, “Spectral Problems of High-Order Recurrences”, Amer. Math. Soc. Transl., 233 (2014), 43–61  crossref  mathscinet  zmath 3
46. 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 11
47. 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
48. 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
49. 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 5
50. 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
51. 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
52. 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
53. 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
54. 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
55. 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
56. 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
57. 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
58. 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
59. 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
60. 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
61. 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
62. 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
63. 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
64. 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
65. 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
66. A. I. Aptekarev, “Preface”, Proc. Steklov Inst. Math., 272, suppl. 2 (2011), 138–141  mathnet  crossref  crossref  zmath  isi  scopus
67. 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
68. 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
69. 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
70. 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
71. 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
72. 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
73. 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
74. 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
75. 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
76. 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
77. 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
78. 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
79. 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
80. 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 103
81. 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
82. 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
83. 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
84. 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
85. 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
86. 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
87. A. I. Aptekarev, Kastro M. Smirnova, “Convergence of vector Stieltjes continued fractions”, Dokl. Akad. Nauk, 375:6 (2000), 727–729  mathnet  mathscinet  zmath
88. 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
89. 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 50
90. 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
91. 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
92. 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
93. A. I. Aptekarev, “Multiple orthogonal polynomials”, J. Comput. Appl. Math., 99:1-2 (1998), 423–447  crossref  mathscinet  zmath  isi  scopus 123
94. A. Aptekarev, V. Kaliaguine, “Complex rational approximation and difference operators”, Rend. Circ. Mat. Palermo (2) Suppl., I:52 (1998), 3–21  mathscinet  zmath
95. 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
96. 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
97. 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 33
98. 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
99. 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
100. 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
101. 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
102. 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
103. 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
104. 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
105. 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
106. 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
107. A. I. Aptekarev, “Asymptotics of orthogonal polynomials with matrix coefficients”, Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, 1988, no. 71, 28  mathscinet
108. 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
109. 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
110. 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
111. 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
112. 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
113. 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
114. 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
115. 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
116. 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
117. 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
118. 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
119. 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

Preprints

120. A. I. Aptekarev, “Szegö asymptotcs for Angelesco systems”, Keldysh Institute preprints, 2024  mathnet  crossref
121. A. I. Aptekarev, “Hyperbolic volume of 3-d manifolds, A-polynomials, numerical hypothesis testing”, Keldysh Institute preprints, 2023  mathnet  crossref
122. 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
123. 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
124. 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
125. A. I. Aptekarev, D. N. Tulyakov, “The Hesse coordinates for an algebraic cubic curve”, Keldysh Institute preprints, 2017  mathnet  crossref
126. 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
127. 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
128. A. I. Aptekarev, M. L. Yattselev, “Approximations of algebraic functions by rational ones — functional analogues of diophantine approximants”, Keldysh Institute preprints, 2016  mathnet  crossref
129. 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
130. 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
131. 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
132. A. I. Aptekarev, A. I. Bogolyubsky, “Matrix Riemann–Hilbert problems for Pade approximants of orthogonal expansions”, Keldysh Institute preprints, 2014, 103–16  mathnet
133. 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
134. 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
135. A. I. Aptekarev, D. N. Tulyakov, “Asymptotics of $L_p$-norms of Hermite polynomials”, Preprinty IPM, 2012, 70–22  mathnet
136. 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
137. A. I. Aptekarev, “Integrable Semidiscretization of Hyperbolic Equations – “Computational” Dispersion and Multidimensional Perspective”, Keldysh Institute preprints, 2012, 20–28  mathnet
138. 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
139. 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
140. 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
141. 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
142. 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
143. 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

Popular science or education materials

144. A. I. Aptekarev, “Matematicheskii portret”, Priroda, 2011, no. 2, 42–49

Information matherials

145. 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

Personalia

146. 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. Iakobovski, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Uspekhi Mat. Nauk, 79:4(478) (2024), 181–187  mathnet  crossref
147. 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
148. B. N. Chetverushkin, A. I. Aptekarev, “In memory of Nikolay Nikolaevich Kalitkin”, Matem. Mod., 33:2 (2021), 141–142  mathnet  crossref  mathscinet
149. 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
150. 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
151. 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
152. 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
153. 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
154. 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
155. 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
156. A. I. Aptekarev, A. B. Batkhin, A. D. Bruno, “Vladimir Igorevich Parusnikov”, Chebyshevskii Sb., 17:1 (2016), 286–298  mathnet  elib
157. 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
158. 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
159. 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
160. 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
161. 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
162. 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
163. 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
164. 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
165. 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
166. 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
167. 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

Miscellaneous

168. 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
169. Ratsionalnye priblizheniya postoyannoi Eilera i rekurrentnye sootnosheniya, Sbornik statei, Sovr. probl. matem., 9, ed. A. I. Aptekarev, MIAN, M., 2007 , 84 pp.  mathnet  zmath

Presentations in Math-Net.Ru
1. 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
2. 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   
3. 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   
4. 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
5. 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
6. 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
7. 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
8. Рациональные приближения функций и чисел — 2
A. I. Aptekarev
Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2023
July 28, 2023 09:30   
9. Рациональные приближения функций и чисел
A. I. Aptekarev
Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2023
July 26, 2023 09:30   
10. 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
11. 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   
12. Stiltjes string, Krein string and de Brange canonical systems
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
March 20, 2023 17:00
13. 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   
14. Volume Conjecture and WKB Asymptotics
A. I. Aptekarev

October 27, 2022 11:00
15. Asymptotics of colored Jones polynomials and $q$-recurrence relations
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
October 3, 2022 17:00
16. 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   
17. 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
18. 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
19. Recurrence relations and asymptotics of colored Jones polynomials
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
November 1, 2021 17:00
20. Recurrence relations and asymptotics of colored Jones polynomials
A. I. Aptekarev
Analysis days in Sirius
October 28, 2021 12:30
21. Opening
A. I. Aptekarev
International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin
October 11, 2021 10:50   
22. 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   
23. Markov spectrum and some applications
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
November 2, 2020 17:00
24. Supercomputing in geo and astrophysics: mathematical aspects
A. I. Aptekarev
SIMC Open
December 23, 2019 16:20   
25. On the Steklov problem in the space $L^p$
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
December 9, 2019 17:00
26. Spectral properties of difference operators on graph-trees
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
October 28, 2019 17:00
27. О спектре дискретного оператора Шрёдингера на графе
A. I. Aptekarev
Seminar on Theory of Functions of Real Variables
October 25, 2019 18:30
28. 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   
29. 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   
30. 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
31. On the recurrence relations for Hermite–Padé polynomials
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
April 22, 2019 17:00
32. Presentations on the materials of the conferences
A. I. Aptekarev, E. M. Chirka
Seminar on Complex Analysis (Gonchar Seminar)
May 28, 2018 17:00
33. 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
34. 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
35. 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
36. 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
37. 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   
38. Функциональный аналог теоремы Туэ-Зигеля-Рота
A. I. Aptekarev
Seminar on Theory of Functions of Real Variables
April 21, 2017 18:30
39. 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
40. 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
41. Rational approximation of the algebraic functions and functional analogues of the Diophantine approximations
A. I. Aptekarev
Shafarevich Seminar
October 18, 2016 15:00
42. 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   
43. 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   
44. 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
45. 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
46. On asymptotics of spectra for one quantum optic scattering problem
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
February 8, 2016 17:00
47. 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   
48. Szegő-type asymptotics for ray sequences of Frobenius–Padé approximants
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
November 30, 2015 17:00
49. Asymptotics of $L^p$-norm of Laguerre polynomials
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
June 22, 2015 18:00
50. TBA
A. I. Aptekarev, V. I. Buslaev
Seminar on Complex Analysis (Gonchar Seminar)
March 23, 2015 18:00
51. On one Stahl problem, part II
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
December 22, 2014 18:00
52. On one Stahl's problem
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
November 24, 2014 18:00
53. Recurrence relations for the multiple-orthogonal polynomials
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
June 9, 2014 18:00
54. 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
55. 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
56. 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
57. Многомерные решетки классических ортогональных многочленов
A. I. Aptekarev
I. M. Gelfand and Modern Mathematics
December 18, 2013 12:35   
58. 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   
59. On extremal polynomials in the Steklov class (continuation)
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
September 30, 2013 18:00
60. On extremal polynomials in the Steklov class
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
September 23, 2013 18:00
61. 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   
62. 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
63. On the estimates of the growth of orthogonal polynomials
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
January 28, 2013 18:00
64. 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
65. On the stratification of sheeted torus from the Nuttall class
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
October 29, 2012 18:00
66. 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   
67. 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
68. 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
69. 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
70. Family of equilibrium measures, shocks and multidimensional perspective
A. I. Aptekarev
International Workshop on Complex Analysis and its Applications
December 26, 2011 12:00   
71. On a theorem of Saff
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
November 28, 2011 18:00
72. On a conjecture of Stahl–Nuttall
A. I. Aptekarev
Seminar on Complex Analysis (Gonchar Seminar)
September 26, 2011 18:00
73. 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
74. 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
75. 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
76. 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
77. 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
78. 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
79. 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
80. 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
81. 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
82. 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   
83. 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   
84. 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

Organisations
 
  Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024