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Mathematics

D-Index
42
Citations
5379
World Ranking
1829
National Ranking
18

Overview

Grigori Olshanski is a researcher affiliated with the Institute for Information Transmission Problems in the Russian Federation. Their academic work primarily spans the field of Mathematics, with significant contributions across several specialized subfields including Mathematical Physics, Geometry and Topology, Statistics and Probability, Discrete Mathematics and Combinatorics, and Algebra and Number Theory.

The research topics explored by Olshanski include algebraic structures and combinatorial models, random matrices and their applications, advanced combinatorial mathematics, advanced algebra and geometry, advanced topics in algebra, nonlinear waves and solitons, as well as mathematical functions and polynomials.

Among recent publications attributed to Olshanski are:

  • Determinantal Point Processes and Fermion Quasifree States (2020), published in Communications in Mathematical Physics
  • Macdonald-Level Extension of Beta Ensembles and Large-N Limit Transition (2020), published in Communications in Mathematical Physics
  • The centralizer construction and Yangian-type algebras (2023), published in Journal of Geometry and Physics

In addition to Olshanski's own publications, other related works frequently encountered in their research network include:

  • Infinite-dimensional groups over finite fields and Hall-Littlewood symmetric functions (2021), by Cesar Cuenca, published on arXiv (Cornell University)
  • A hierarchy of Palm measures for determinantal point processes with gamma kernels (2022), by Alexander I. Bufetov, published in Studia Mathematica

Frequent collaborators associated with Olshanski include Cesar Cuenca, Nikita Safonkin, Timur Bakiev, Alexander I. Bufetov, and V. A. Vassiliev.

Olshanski's work is commonly published in venues such as arXiv (Cornell University), Communications in Mathematical Physics, Journal of Geometry and Physics, Studia Mathematica, and Moscow Mathematical Journal.

Best Publications

  • Asymptotics of Plancherel measures for symmetric groups

    Alexei Borodin;Andrei Okounkov;Andrei Okounkov;Grigori Olshanski

  • Shifted Schur Functions

    Andrei Okounkov;Grigori Olshanski

  • The boundary of Young graph with Jack edge multiplicities

    Sergei Kerov;Andrei Okounkov;Grigori Olshanski

  • Shifted jack polynomials, binomial formula, and applications

    Andrei Okounkov;Grigori Olshanski

  • Kerov’s Central Limit Theorem for the Plancherel Measure on Young Diagrams

    Vladimir Ivanov;Grigori Olshanski

  • Distributions on Partitions, Point Processes,¶ and the Hypergeometric Kernel

    Alexei Borodin;Grigori Olshanski

  • POLYNOMIAL FUNCTIONS ON THE SET OF YOUNG DIAGRAMS

    S. Kerov;G. Olshanski

  • Harmonic analysis on the infinite symmetric group. A deformation of the regular representation

    S. Kerov;G. Olshanski;A. Vershik

  • Harmonic analysis on the infinite symmetric group

    Sergei Kerov;Grigori Olshanski;Anatoly Vershik

  • Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes

    Alexei Borodin;Grigori Olshanski

  • Asymptotics of Jack polynomials as the number of variables goes to infinity

    Andrei Okounkov;Grigori Olshanski

  • POINT PROCESSES AND THE INFINITE SYMMETRIC GROUP

    Alexei Borodin;Grigori Olshanski

  • INFINITE RANDOM MATRICES AND ERGODIC MEASURES

    Alexei Borodin;Grigori Olshanski

  • The problem of harmonic analysis on the infinite-dimensional unitary group

    Grigori Olshanski

  • ERGODIC UNITARILY INVARIANT MEASURES ON THE SPACE OF INFINITE HERMITIAN MATRICES

    Grigori Olshanski;Anatoli Vershik

  • Harmonic functions on multiplicative graphs and interpolation polynomials

    Alexei Borodin;Grigori Olshanski

  • Z-Measures on partitions and their scaling limits

    Alexei Borodin;Grigori Olshanski

  • Random partitions and the gamma kernel

    Alexei Borodin;Grigori Olshanski

  • Quantized universal enveloping superalgebra of type Q and a super-extension of the Hecke algebra

    Unknown

  • The boundary of the Gelfand–Tsetlin graph: A new approach

    Alexei Borodin;Alexei Borodin;Alexei Borodin;Grigori Olshanski

  • Kirillov's Seminar on Representation Theory

    G. I. Olshanski

Frequent Co-Authors

Andrei Okounkov
Andrei Okounkov Columbia University
Anatoly Vershik
Anatoly Vershik Saint Petersburg State University

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