Persons: Aptekarev, Alexander Ivanovich

Persons

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

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:	14841
Abstract pages:	47608
Full texts:	15606
References:	4326

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:

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.
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
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
A. I. Aptekarev, S. A. Denisov, D. N. Tulyakov, “On a problem by Steklov”, J. Amer. Math. Soc., 29 (2016), 1117–1165
A. I. Aptekarev, “The Mhaskar–Saff Variational Principle and Location of the Shocks of Certain Hyperbolic Equations”, Contemporary Mathematics, 661 (2016), 167–186
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
A. I. Aptekarev, “Spectral Problems of High-Order Recurrences”, Amer. Math. Soc. Transl., 233 (2014), 43–61
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
A. I. Aptekarev, “Sharp constants for rational approximations of analytic functions”, Sb. Math., 193:1 (2002), 1–72
A. I. Aptekarev, “Strong asymptotics of multiply orthogonal polynomials for Nikishin systems”, Sb. Math., 190:5 (1999), 631–669
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
A. I. Aptekarev, “Asymptotics of simultaneously orthogonal polynomials in the Angelesco case”, Math. USSR-Sb., 64:1 (1989), 57–84

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
2.	A. I. Aptekarev, “Szegö asymptotcs for Angelesco systems”, Keldysh Institute preprints, 2024
3.	A. I. Aptekarev, V. Yu. Novokshenov, “Asymptotics of solutions of the discrete Painlevé I equation”, Math. Notes, 116:6 (2024), 1170–1182
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

2023
5.	A. I. Aptekarev, “Hyperbolic volume of 3-d manifolds, A-polynomials, numerical hypothesis testing”, Keldysh Institute preprints, 2023
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

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
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	2 ^[x]
9.	A. I. Aptekarev, V. A. Kalyagin, “Spectral problem for the vector Stieltjes string”, Russian Math. Surveys, 77:5 (2022), 946–948
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
11.	A. I. Aptekarev, M. Yattselev, Tr. Mosk. Mat. Obs., 83, no. 2, MCCME, M., 2022, 297–318

2021
12.	A. I. Aptekarev, “Convergence of Bieberbach polynomials: Keldysh's theorems and Mergelyan's conjecture”, Russian Math. Surveys, 76:3 (2021), 379–387
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
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
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.	9 ^[x]
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	3 ^[x]
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	5 ^[x]
18.	B. N. Chetverushkin, A. I. Aptekarev, “In memory of Nikolay Nikolaevich Kalitkin”, Matem. Mod., 33:2 (2021), 141–142
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

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
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	20 ^[x]
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.	6 ^[x]

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.	25 ^[x]
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
25.	A. I. Aptekarev, Yu. G. Rykov, “Variational principle for multidimensional conservation laws and pressureless media”, Russian Math. Surveys, 74:6 (2019), 1117–1119
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	4 ^[x]
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

2018
28.	A. I. Aptekarev, S. A. Denisov, M. L. Yattselev, “Selfadjoint Jacobi matrices on graphs and multiple orthogonal polynomials”, Keldysh Institute preprints, 2018
29.	A. I. Aptekarev, D. N. Tulyakov, “Hesse Parametrization of a Spectral Curve”, Math. Notes, 104:5 (2018), 745–748
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
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
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.
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	4 ^[x]
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.
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
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
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
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

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
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
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
42.	A. I. Aptekarev, D. N. Tulyakov, “The Hesse coordinates for an algebraic cubic curve”, Keldysh Institute preprints, 2017
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.
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	9 ^[x]
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
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

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
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	13 ^[x]
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
50.	A. I. Aptekarev, S. A. Denisov, D. N. Tulyakov, “On a problem by Steklov”, J. Amer. Math. Soc., 29 (2016), 1117–1165	15 ^[x]
51.	A. I. Aptekarev, M. Derevyagin, W. Van Assche, “Discrete integrable systems generated by Hermite–Padé approximants”, Nonlinearity, 29 (2016), 1487–1506	16 ^[x]
52.	A. I. Aptekarev, “The Mhaskar–Saff Variational Principle and Location of the Shocks of Certain Hyperbolic Equations”, Contemporary Mathematics, 661 (2016), 167–186	7 ^[x]
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.
54.	A. I. Aptekarev, J. S. Geronimo, “Measures for orthogonal polynomials with unbounded recurrence coefficients”, Journal of Approximation Theory, 207 (2016), 339–347	9 ^[x]
55.	A. I. Aptekarev, M. L. Yattselev, “Approximations of algebraic functions by rational ones — functional analogues of diophantine approximants”, Keldysh Institute preprints, 2016
56.	A. I. Aptekarev, A. B. Batkhin, A. D. Bruno, “Vladimir Igorevich Parusnikov”, Chebyshevskii Sb., 17:1 (2016), 286–298

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
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
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	1 ^[x]
60.	A. I. Aptekarev, D. N. Tulyakov, “Asymptotics of $L_p$-norms of Laguerre polynomials”, Russian Math. Surveys, 70:5 (2015), 955–957
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
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
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	40 ^[x]
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	8 ^[x]
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.	7 ^[x]
66.	A. I. Aptekarev, G. Lopes-Lagomasino, A. Martines-Finkelshtein, “Cilnaya asimptotika sovmestno ortogonalnykh mnogochlenov Pollacheka”, Doklady Akademii Nauk, 465:4 (2015), 393–397
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	11 ^[x]

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
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
70.	A. I. Aptekarev, A. I. Bogolyubsky, “Matrix Riemann–Hilbert problems for Pade approximants of orthogonal expansions”, Keldysh Institute preprints, 2014, 103–16
71.	A. I. Aptekarev, “Spectral Problems of High-Order Recurrences”, Amer. Math. Soc. Transl., 233 (2014), 43–61	3 ^[x]
72.	A. I. Aptekarev, J. Arvesu, “Asymptotics for Multiple Meixner Polynomials”, Journal of Mathematical Analysis and Applications, 411 (2014), 485–505	13 ^[x]
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
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
75.	A. Aptekarev, P. Nevai, V. Totik, “In memoriam: Herbert Stahl, August 3, 1942–April 22, 2013”, Journal Approximation Theory, 183 (2014), A1–A26	2 ^[x]

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
77.	A. I. Aptekarev, V. S. Buyarov, “On the Resolvent of the Gauss Operator”, Math. Notes, 94:4 (2013), 590–593
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

2012
79.	A. I. Aptekarev, D. N. Tulyakov, “Asymptotics of Meixner polynomials and Christoffel-Darboux kernels”, Trans. Moscow Math. Soc., 2012, 67–106
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	6 ^[x]
81.	A. I. Aptekarev, D. N. Tulyakov, “Asymptotics of $L_p$-norms of Hermite polynomials”, Preprinty IPM, 2012, 70–22
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
83.	A. I. Aptekarev, “Integrable Semidiscretization of Hyperbolic Equations – “Computational” Dispersion and Multidimensional Perspective”, Keldysh Institute preprints, 2012, 20–28
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	21 ^[x]
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	13 ^[x]

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
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
88.	A. I. Aptekarev, A. Kuijlaars, “Hermite–Padé approximations and multiple orthogonal polynomial ensembles”, Russian Math. Surveys, 66:6 (2011), 1133–1199
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
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
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
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
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.	15 ^[x]
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	30 ^[x]

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
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	21 ^[x]
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
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	48 ^[x]
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	10 ^[x]

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
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	5 ^[x]
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	1 ^[x]

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

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
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)

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
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

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

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	4 ^[x]
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	15 ^[x]
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	3 ^[x]
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	36 ^[x]

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
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	106 ^[x]

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
119.	A. I. Aptekarev, L. R. Volevich, “Some mathematical aspects of potential flow computation”, Russ. J. Math. Phys., 11:3 (2004), 259–276
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	46 ^[x]
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
122.	A. I. Aptekarev, A. L. Afendikov, V. V. Voevodin, et al., “Yulian Borisovich Radvogin”, Russ. J. Math. Phys., 11:3 (2004), 243–249

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)	104 ^[x]
124.	A. I. Aptekarev, A. Branquinho, “Padé approximants and complex high order Toda lattices”, J. Comput. Appl. Math., 155:2 (2003), 231–237	16 ^[x]

2002
125.	A. I. Aptekarev, “Sharp constants for rational approximations of analytic functions”, Sb. Math., 193:1 (2002), 1–72
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	6 ^[x]
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	6 ^[x]
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

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	17 ^[x]
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
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

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
133.	A. I. Aptekarev, Kastro M. Smirnova, “Convergence of vector Stieltjes continued fractions”, Dokl. Akad. Nauk, 375:6 (2000), 727–729
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
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	51 ^[x]
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

1999
137.	A. I. Aptekarev, “Strong asymptotics of multiply orthogonal polynomials for Nikishin systems”, Sb. Math., 190:5 (1999), 631–669
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
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	9 ^[x]

1998
140.	A. I. Aptekarev, “Multiple orthogonal polynomials”, J. Comput. Appl. Math., 99:1-2 (1998), 423–447	124 ^[x]
141.	A. Aptekarev, V. Kaliaguine, “Complex rational approximation and difference operators”, Rend. Circ. Mat. Palermo (2) Suppl., I:52 (1998), 3–21
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	67 ^[x]

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	32 ^[x]
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	34 ^[x]

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	2 ^[x]
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

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	19 ^[x]
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
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

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
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

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	28 ^[x]

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

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
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
156.	A. I. Aptekarev, “Asymptotics of orthogonal polynomials with matrix coefficients”, Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, 1988, no. 71, 28
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

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
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	4 ^[x]
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

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
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
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

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

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

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

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
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

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

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

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
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

Registration to the website

Logotypes