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Mathematics

D-Index
39
Citations
7282
World Ranking
2168
National Ranking
915

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Alexander Its is affiliated with Indiana University - Purdue University Indianapolis in the United States. Their research spans the fields of Mathematics and Physics and Astronomy, with a significant focus on subfields such as Statistical and Nonlinear Physics, Geometry and Topology, Mathematical Physics, Statistics and Probability, and Applied Mathematics.

The scientist has contributed extensively to topics that include Nonlinear Waves and Solitons, Random Matrices and Applications, Advanced Differential Equations and Dynamical Systems, Algebraic Structures and Combinatorial Models, Stochastic Processes and Statistical Mechanics, Algebraic Geometry and Number Theory, and Spectral Theory in Mathematical Physics.

Alexander Its has a record of frequent collaborations with several co-authors, namely Kenta Miyahara, Roozbeh Gharakhloo, Martin A. Guest, Maksim Kosmakov, and Ryosuke Odoi.

Publications by Alexander Its appear in a variety of academic venues. The most frequent ones include:

  • arXiv (Cornell University)
  • Nonlinearity
  • Letters in Mathematical Physics
  • Symmetry Integrability and Geometry Methods and Applications
  • Journal of Statistical Physics

Recent papers provide insight into the scope of their research:

  • "A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants," 2020, Symmetry Integrability and Geometry Methods and Applications
  • "Asymptotics of Bordered Toeplitz Determinants and Next-to-Diagonal Ising Correlations," 2022, Journal of Statistical Physics
  • "Harold Widom's work in random matrix theory," 2022, Bulletin of the American Mathematical Society
  • "The tt*-Toda equations of A_n type," 2023, arXiv (Cornell University)
  • "Connection formulae for the radial Toda equations I," 2025, Nonlinearity

Alexander Its was awarded the title of Fellow of the American Mathematical Society in 2013.

Best Publications

  • Differential Equations for Quantum Correlation Functions

    A.R. Its;A.G. Izergin;V.E. Korepin;N.A. Slavnov

  • Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model

    Pavel Bleher;Alexander Its

  • Isomonodromic Deformation Method in the Theory of Painleve Equations

    Alexander R. Its;Victor Yu. Novokshenov

  • Entanglement in XY Spin Chain

    A. R. Its;B. Q. Jin;V. E. Korepin

  • A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics

    Percy A. Deift;Alexander R. Its;Xin Zhou

  • Entanglement in the XY spin chain

    A. R. Its;B. Q. Jin;B. Q. Jin;V. E. Korepin

  • The nonlinear Schrödinger equation on the half-line

    A. S Fokas;A. R Its;L.-Y Sung

  • Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities

    Percy Deift;Alexander Its;Igor Krasovsky

  • Double scaling limit in the random matrix model: The Riemann-Hilbert approach

    Pavel M. Bleher;Alexander R. Its

  • Toeplitz matrices and toeplitz determinants under the impetus of the ising model: Some history and some recent results

    Percy Deift;Alexander Its;Igor Krasovsky

  • Renyi entropy of the XY spin chain

    F Franchini;A R Its;V E Korepin

  • Painlevé III and a singular linear statistics in Hermitian random matrix ensembles, I

    Yang Chen;Alexander Its

  • Asymptotics of the Airy-kernel determinant

    P. Deift;A. Its;I. Krasovsky;I. Krasovsky

  • The nonlinear Schrödinger equation on the interval

    A S Fokas;A R Its

  • Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump

    A. Its;I. Krasovsky

  • Asymptotics of the partition function of a random matrix model

    Pavel M. Bleher;Alexander R. Its

  • Long-Time Asymptotics for the Focusing NLS Equation with Time-Periodic Boundary Condition on the Half-Line

    Anne Boutet de Monvel;Alexander Its;Vladimir Kotlyarov

  • Random Words, Toeplitz Determinants and Integrable Systems. II

    Alexander R. Its;Craig A. Tracy;Harold Widom

  • Random Matrix Models and Their Applications

    Pavel M. Bleher;Alexander R Its

  • ON THE ALGEBRO-GEOMETRIC INTEGRATION OF THE SCHLESINGER EQUATIONS

    P. Deift;A. Its;A. Kapaev;X. Zhou

Frequent Co-Authors

Vladimir E. Korepin
Vladimir E. Korepin Stony Brook University
Percy Deift
Percy Deift Courant Institute of Mathematical Sciences
Pavel Bleher
Pavel Bleher Indiana University – Purdue University Indianapolis
Alexander I. Bobenko
Alexander I. Bobenko Technical University of Berlin
Xin Zhou
Xin Zhou Beihang University
Nicolai Reshetikhin
Nicolai Reshetikhin Tsinghua University
Athanassios S. Fokas
Athanassios S. Fokas University of Cambridge
Nikita Andreevich Slavnov
Nikita Andreevich Slavnov Steklov Mathematical Institute
Harold Widom
Harold Widom University of California, Santa Cruz

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