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Alexander Ivanovich Aptekarev

Alexander Ivanovich Aptekarev

D-Index & Metrics

Mathematics

D-Index
36
Citations
3968
World Ranking
2698
National Ranking
21

Overview

Alexander Ivanovich Aptekarev is affiliated with the Keldysh Institute of Applied Mathematics in the Russian Federation. Their research primarily spans the field of mathematics, with a focus on applied mathematics, mathematical physics, statistical and nonlinear physics, geometry and topology, and computational theory and mathematics.

The scientist's work addresses several main topics, including:

  • Mathematical functions and polynomials
  • Quantum chaos and dynamical systems
  • Spectral theory in mathematical physics
  • Matrix theory and algorithms
  • Geometric and algebraic topology
  • Nonlinear waves and solitons
  • Graph theory and applications

Alexander Ivanovich Aptekarev has published extensively in various academic journals. Frequent publication venues include:

  • Успехи математических наук
  • Математические заметки
  • Russian Mathematical Surveys
  • Keldysh Institute Preprints
  • Mathematical Notes

Some recent papers authored by Aptekarev illustrate the areas of study and recent research contributions:

  • "Rydberg multidimensional states: Rényi and Shannon entropies in momentum space", 2020, Journal of Physics A Mathematical and Theoretical
  • "Plancherel-Rotach type asymptotic formulae for multiple orthogonal Hermite polynomials and recurrence relations", 2021, Izvestiya Mathematics
  • "Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum", 2021, Journal of Spectral Theory
  • "Многоуровневая интерполяция системы Никишина и ограниченность матриц Якоби на бинарном дереве", 2021, Успехи математических наук
  • "Multilevel interpolation for Nikishin systems and boundedness of Jacobi matrices on binary trees", 2021, Russian Mathematical Surveys

The scientist collaborates with several frequent coauthors, highlighting a network of research partnerships. These coauthors include:

  • Владимир Генрихович Лысов
  • Sergey A. Denisov
  • Maxim L. Yattselev
  • D. N. Tulyakov
  • A. V. Tsvetkova

The contributions made by Alexander Ivanovich Aptekarev show a broad engagement in theoretical and applied mathematical disciplines, with an emphasis on the mathematical underpinnings of physical systems and complex mathematical structures.

Best Publications

  • Multiple orthogonal polynomials

    A. I. Aptekarev

  • Multiple orthogonal polynomials for classical weights

    A. I. Aptekarev;A. Branquinho;W. Van Assche

  • The Scattering Problem for a Discrete Sturm-Liouville Operator

    A I Aptekarev;E M Nikishin

  • ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A SYSTEM OF CONTOURS, AND PERIODIC MOTIONS OF TODA LATTICES

    A I Aptekarev

  • ASYMPTOTIC BEHAVIOR OF THE Lp-NORMS AND THE ENTROPY FOR GENERAL ORTHOGONAL POLYNOMIALS

    A I Aptekarev;V S Buyarov;I S Degeza

  • The Genetic Sums' Representation for the Moments of a System of Stieltjes Functions and its Application

    A. Aptekarev;V. Kaliaguine;J. Van Iseghem

  • Strong asymptotics of Laguerre polynomials and information entropies of two-dimensional harmonic oscillator and one-dimensional Coulomb potentials

    J. S. Dehesa;R. J. Yáñez;A. I. Aptekarev;V. Buyarov

  • Sharp constants for rational approximations of analytic functions

    A I Aptekarev

  • Large n Limit of Gaussian Random Matrices with External Source, Part II

    Unknown

  • Higher Order Three-Term Recurrences and Asymptotics of Multiple Orthogonal Polynomials

    A. I. Aptekarev;V. A. Kalyagin;E. B. Saff

  • Asymptotics of Hermite-Padé Polynomials

    A. I. Aptekarev;Herbert Stahl

  • Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials

    A. I. Aptekarev;J. S. Dehesa;R. J. Yáñez

  • Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants

    Alexander I Aptekarev;Vladimir G Lysov

  • Системы марковских функций, генерируемые графами, и асимптотика их аппроксимаций Эрмита - Паде@@@Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants

    Александр Иванович Аптекарев;Alexander Ivanovich Aptekarev;Владимир Генрихович Лысов;Vladimir Genrikhovich Lysov

  • Padé approximants, continued fractions, and orthogonal polynomials

    Alexander I Aptekarev;Viktor I Buslaev;Andrei Martínez-Finkelshtein;Sergey P Suetin

  • Asymptotics of Hermite–Padé Rational Approximants for Two Analytic Functions with Separated Pairs of Branch Points (Case of Genus 0)

    Alexander I. Aptekarev;Arno B. J. Kuijlaars;Walter Van Assche

  • Hermite-Padé approximations and multiple orthogonal polynomial ensembles

    Alexander I Aptekarev;Arno Kuijlaars

  • Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight

    A. I. Aptekarev;W. Van Assche

  • On the limit behavior of recurrence coefficients for multiple orthogonal polynomials

    A. I. Aptekarev;V. Kalyagin;G. López Lagomasino;I. A. Rocha

  • Padé approximants for functions with branch points — strong asymptotics of Nuttall–Stahl polynomials

    Alexander I. Aptekarev;Maxim L. Yattselev

  • Semiclassical Multiple Orthogonal Polynomials and the Properties of Jacobi-Bessel Polynomials

    A.I. Aptekarev;F. Marcellán;I.A. Rocha

  • Strong asymptotics of multiply orthogonal polynomials for Nikishin systems

    A I Aptekarev

Frequent Co-Authors

Jesús S. Dehesa
Jesús S. Dehesa University of Granada
Francisco Marcellán
Francisco Marcellán Carlos III University of Madrid
Jeffrey S. Geronimo
Jeffrey S. Geronimo Georgia Institute of Technology
Edward B. Saff
Edward B. Saff Vanderbilt University
Vilmos Totik
Vilmos Totik University of Szeged
Albert N. Shiryaev
Albert N. Shiryaev Steklov Mathematical Institute
Igor Moiseevich Krichever
Igor Moiseevich Krichever Columbia University

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