9 citations · 10 across the 3 of their papers we have counts for
Showing 2001Show all
3 papers · 1 filter
math-ph2001
Discrete gap probabilities and discrete Painleve equations
Alexei Borodin
We prove that Fredholm determinants of the form det(1-K_s), where K_s is the restriction of either the discrete Bessel kernel or the discrete {}_2F_1 kernel to {s,s+1,...}, can be…
math-ph2001
Fredholm determinants, Jimbo-Miwa-Ueno tau-functions, and representation theory
Alexei Borodin, Percy Deift
The authors show that a wide class of Fredholm determinants arising in the representation theory of "big" groups such as the infinite-dimensional unitary group, solve Painleve equa…
math.RT2001
Asymptotic representation theory and Riemann-Hilbert problem
Alexei Borodin
We show how the Riemann-Hilbert problem can be used to compute correlation kernels for determinantal point processes arising in different models of asymptotic combinatorics and rep…