3 papers
nlin.SI2025
On Tracy-Widom distribution and the second Calogero-Painlevé system
Alexander Its, Andrei Prokhorov
The Calogero-Painlevé systems were introduced in 2001 by K. Takasaki as a natural generalization of the classical Painlevé equations to the case of the several Painlevé ``partic…
math-ph2025
A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants II
Roozbeh Gharakhloo, Alexander Its
In this article, we continue the development of the Riemann-Hilbert formalism for studying the asymptotics of Toeplitz+Hankel determinants with non-identical symbols, which we init…
math-ph2025
Connection formulae for the radial Toda equations I
Martin A. Guest, Alexander R. Its, Maksim Kosmakov +2
This paper is the first in a forthcoming series of works where the authors study the global asymptotic behavior of the radial solutions of the 2D periodic Toda equation of type $A_…