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, M. Yattselev, “The Gonchar–Chudnovskies conjecture and a functional analogue of the Thue–Siegel–Roth theorem”, Trans. Moscow Math. Soc., 83 (2022), 251–268
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
A. I. Aptekarev, “Multiple orthogonal polynomials and strong Szegő asymptotics”, Russian Math. Surveys, 81:2 (2026), 209–273
2.
A. I. Aptekarev, V. I. Buslaev, A. D. Izaak, B. S. Kashin, V. V. Kozlov, A. V. Komlov, N. G. Kruzhilin, A. Martínez-Finkelshtein, O. V. Mukina, S. Yu. Nemirovski, S. Yu. Orevkov, R. V. Palvelev, E. A. Rakhmanov, A. G. Sergeev, D. V. Treschev, E. M. Chirka, E. A. Shiryaeva, “Sergey Pavlovich Suetin (on his 70th birthday)”, Russian Math. Surveys, 81:3 (2026), 577–581
2025
3.
A. I. Aptekarev, V. Yu. Novokshenov, “Weak quasiclassical asymptotics of polynomial solutions of three-term recurrence relations of high order”, Izv. Math., 89:6 (2025), 1108–1124
4.
A. I. Aptekarev, A. V. Dyachenko, V. G. Lysov, “Recurrence Relations for Meixner Multiple Orthogonal Polynomials on Interlacing Lattices”, Proc. Steklov Inst. Math., 330 (2025), 1–21
5.
A. I. Aptekarev, N. A. Zaitsev, “Transparent boundary conditions for the wave equation with variable speed of sound”, Comput. Math. Math. Phys., 65:6 (2025), 1394–1410
6.
A. I. Avetisyan, A. I. Aptekarev, S. I. Bezrodnykh, V. B. Betelin, M. A. Guzev, L. M. Zelenyi, N. N. Kolachevsky, N. N. Kudryavtsev, S. A. Nikitov, G. I. Savin, E. E. Tyrtyshnikov, V. Yu. Khomich, S. L. Chernyshev, B. N. Chetverushkin, A. A. Shananin, Yu. V. Vassilevski, V. A. Gushchin, I. B. Petrov, V. F. Tishkin, M. V. Iakobovski, A. V. Babakov, V. I. Golubev, V. A. Zernov, A. I. Lobanov, I. S. Nikitin, S. S. Simakov, Yu. D. Shevelev, A. V. Favorskaya, S. V. Fortova, N. I. Khokhlov, M. S. Belotserkovska, “Academician Oleg Mikhailovich Belotserkovskii (on his 100th birthday)”, Mat. Model., 37:6 (2025), 194–196
2024
7.
A. I. Aptekarev, A. V. Dyachenko, V. G. Lysov, “Meixner Multiply Orthogonal Polynomials on Interleaved Lattices”, Math. Notes, 115:4 (2024), 642–646
8.
A. I. Aptekarev, “Szegö asymptotcs for Angelesco systems”, Keldysh Institute preprints, 2024
9.
A. I. Aptekarev, V. Yu. Novokshenov, “Asymptotics of solutions of the discrete Painlevé I equation”, Math. Notes, 116:6 (2024), 1170–1182
10.
A. I. Aptekarev, D. J. Cirilo-Lombardo, Yu. G. Rykov, “Diffeomorphic structure of evolution equations”, Journal of Geometry and Physics, 202:10 (2024), 105234, 17 pp.
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
12.
A. I. Aptekarev, “Hyperbolic volume of 3-d manifolds, A-polynomials, numerical hypothesis testing”, Keldysh Institute preprints, 2023
13.
A. I. Aptekarev, A. Dyachenko, V. Lysov, “On perfectness of systems satisfying Pearson's equation with nonstandard parameters”, Axioms, 12:1 (2023), 89
14.
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
15.
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
16.
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
A. I. Aptekarev, V. A. Kalyagin, “Spectral problem for the vector Stieltjes string”, Russian Math. Surveys, 77:5 (2022), 946–948
18.
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
19.
A. I. Aptekarev, M. Yattselev, “The Gonchar–Chudnovskies conjecture and a functional analogue of the Thue–Siegel–Roth theorem”, Trans. Moscow Math. Soc., 83 (2022), 251–268
20.
A. I. Aptekarev, T. N. Dudnikova, D. N. Tulyakov, “Volume conjecture and WKB asymptotics”, Lobachevskii Journal of Mathematics, 43:8 (2022), 2056–2079
A. I. Aptekarev, “Convergence of Bieberbach polynomials: Keldysh's theorems and Mergelyan's conjecture”, Russian Math. Surveys, 76:3 (2021), 379–387
22.
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
23.
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
2024
24.
A. I. Aptekarev, “Weak and strong asymptotics of orthogonal polynomials with varying weights”, Journal of Mathematical Sciences, 278:2 (2024), 211-224
2021
25.
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.
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
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
B. N. Chetverushkin, A. I. Aptekarev, “In memory of Nikolay Nikolaevich Kalitkin”, Matem. Mod., 33:2 (2021), 141–142
29.
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
30.
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
31.
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, 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.
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.
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
35.
A. I. Aptekarev, Yu. G. Rykov, “Variational principle for multidimensional conservation laws and pressureless media”, Russian Math. Surveys, 74:6 (2019), 1117–1119
36.
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
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
38.
A. I. Aptekarev, S. A. Denisov, M. L. Yattselev, “Selfadjoint Jacobi matrices on graphs and multiple orthogonal polynomials”, Keldysh Institute preprints, 2018
39.
A. I. Aptekarev, D. N. Tulyakov, “Hesse Parametrization of a Spectral Curve”, Math. Notes, 104:5 (2018), 745–748
40.
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
41.
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
42.
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.
43.
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
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.
45.
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
46.
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
47.
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
48.
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
49.
A. I. Aptekarev, A. I. Bogolyubskii, M. Yattselev, “Convergence of ray sequences of Frobenius-Padé approximants”, Sb. Math., 208:3 (2017), 313–334
50.
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
51.
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
52.
A. I. Aptekarev, D. N. Tulyakov, “The Hesse coordinates for an algebraic cubic curve”, Keldysh Institute preprints, 2017
53.
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.
54.
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, 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
56.
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
57.
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
58.
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
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
60.
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, M. Derevyagin, W. Van Assche, “Discrete integrable systems generated by Hermite–Padé approximants”, Nonlinearity, 29 (2016), 1487–1506
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, 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.
64.
A. I. Aptekarev, J. S. Geronimo, “Measures for orthogonal polynomials with unbounded recurrence coefficients”, Journal of Approximation Theory, 207 (2016), 339–347
A. I. Aptekarev, M. L. Yattselev, “Approximations of algebraic functions by rational ones — functional analogues of diophantine approximants”, Keldysh Institute preprints, 2016
66.
A. I. Aptekarev, A. B. Batkhin, A. D. Bruno, “Vladimir Igorevich Parusnikov”, Chebyshevskii Sb., 17:1 (2016), 286–298
2015
67.
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
68.
A. I. Aptekarev, D. N. Tulyakov, “The Saturation Regime of Meixner Polynomials and the Discrete Bessel Kernel”, Math. Notes, 98:1 (2015), 180–184
69.
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
A. I. Aptekarev, D. N. Tulyakov, “Asymptotics of $L_p$-norms of Laguerre polynomials”, Russian Math. Surveys, 70:5 (2015), 955–957
71.
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
72.
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
73.
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, 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
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.
A. I. Aptekarev, G. Lopes-Lagomasino, A. Martines-Finkelshtein, “Cilnaya asimptotika sovmestno ortogonalnykh mnogochlenov Pollacheka”, Doklady Akademii Nauk, 465:4 (2015), 393–397
77.
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
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
79.
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
80.
A. I. Aptekarev, A. I. Bogolyubsky, “Matrix Riemann–Hilbert problems for Pade approximants of orthogonal expansions”, Keldysh Institute preprints, 2014, 103–16
81.
A. I. Aptekarev, “Spectral Problems of High-Order Recurrences”, Amer. Math. Soc. Transl., 233 (2014), 43–61
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
84.
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
85.
A. Aptekarev, P. Nevai, V. Totik, “In memoriam: Herbert Stahl, August 3, 1942–April 22, 2013”, Journal Approximation Theory, 183 (2014), A1–A26
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
87.
A. I. Aptekarev, V. S. Buyarov, “On the Resolvent of the Gauss Operator”, Math. Notes, 94:4 (2013), 590–593
88.
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
89.
A. I. Aptekarev, D. N. Tulyakov, “Asymptotics of Meixner polynomials and Christoffel-Darboux kernels”, Trans. Moscow Math. Soc., 2012, 67–106
90.
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
A. I. Aptekarev, D. N. Tulyakov, “Asymptotics of $L_p$-norms of Hermite polynomials”, Preprinty IPM, 2012, 70–22
92.
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
93.
A. I. Aptekarev, “Integrable Semidiscretization of Hyperbolic Equations – “Computational” Dispersion and Multidimensional Perspective”, Keldysh Institute preprints, 2012, 20–28
94.
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
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
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
97.
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
98.
A. I. Aptekarev, A. Kuijlaars, “Hermite–Padé approximations and multiple orthogonal polynomial ensembles”, Russian Math. Surveys, 66:6 (2011), 1133–1199
99.
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
100.
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
101.
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
102.
A. I. Aptekarev, “Matematicheskii portret”, Priroda, 2011, no. 2, 42–49
2010
103.
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
104.
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.
A. I. Aptekarev, J. S. Dehesa, A. Martinez-Finkelshtein, “Asymptotics of orthogonal polynomial's entropy”, J. Comput. Appl. Math., 233:6 (2010), 1355–1365
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
107.
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
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
109.
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
A. I. Aptekarev, J. S. Dehesa, A. Martínez-Finkelshtein, R. J. Yáñez, “Discrete entropies of orthogonal polynomials”, Constr. Approx., 30:1 (2009), 93–119
A. I. Aptekarev, “Asymptotics of Hermite-Padé approximants for a pair of functions with branch points”, Dokl. Math., 78:2 (2008), 717–719
112.
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
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