4 citations · 4 across the 2 of their papers we have counts for
6 papers
An introduction to harmonic analysis on the infinite symmetric group
Grigori Olshanski
The aim of the present survey paper is to provide an accessible introduction to a new chapter of representation theory - harmonic analysis for noncommutative groups with infinite-d…
Kerov's central limit theorem for the Plancherel measure on Young diagrams
Vladimir Ivanov, Grigori Olshanski
Consider random Young diagrams with a fixed number n of boxes, where the probability distribution on diagrams is determined by the Plancherel measure. That is, the weight of a diag…
Frobenius-Schur functions: summary of results
Grigori Olshanski, Amitai Regev, Anatoly Vershik
We introduce and study a family of inhomogeneous symmetric functions which we call the Frobenius-Schur functions. These functions are indexed by partitions and differ from the conv…
Degenerate affine Hecke algebras and centralizer construction for the symmetric groups
A. I. Molev, G. I. Olshanski
In our recent papers the centralizer construction was applied to the series of classical Lie algebras to produce the quantum algebras called (twisted) Yangians. Here we extend this…
Point processes and the infinite symmetric group. Part V: Analysis of the matrix Whittaker kernel
Grigori Olshanski
The matrix Whittaker kernel has been introduced by A. Borodin in Part IV of the present series of papers. This kernel describes a point process -- a probability measure on a space…
Point processes and the infinite symmetric group. Part III: Fermion point processes
Alexei Borodin, Grigori Olshanski
In Part I (G.Olshanski, math.RT/9804086) and Part II (A.Borodin, math.RT/9804087) we developed an approach to certain probability distributions on the Thoma simplex. The latter has…