4 citations · 7 across the 2 of their papers we have counts for
5 papers
Asymptotics of the partition function of a random matrix model
Pavel Bleher, Alexander Its
We prove a number of results concerning the large asymptotics of the free energy of a random matrix model with a polynomial potential . Our approach is based on a deforma…
Correlations between zeros of non-Gaussian random polynomials
Pavel M. Bleher, Xiaojun Di
The existence of the scaling limit and its universality, for correlations between zeros of {\it Gaussian} random polynomials, or more generally, {\it Gaussian} random sections of p…
Double scaling limit in the random matrix model: the Riemann-Hilbert approach
Pavel Bleher, Alexander Its
We prove the existence of the double scaling limit in the unitary matrix model with quartic interaction, and we show that the correlation functions in the double scaling limit are…
SU(1,1) Random Polynomials
Pavel Bleher, Denis Ridzal
We study statistical properties of zeros of random polynomials and random analytic functions associated with the pseudoeuclidean group of symmetries SU(1,1), by utilizing both anal…
Universality and scaling of zeros on symplectic manifolds
Pavel Bleher, Bernard Shiffman, Steve Zelditch
This article is concerned with random holomorphic polynomials and their generalizations to algebraic and symplectic geometry. A natural algebro-geometric generalization studied in…