211 citations · 1k across the 48 of their papers we have counts for
4 papers · 1 filter
Topological expansion in the cubic random matrix model
Pavel Bleher, Alfredo Deaño
In this paper we return to the classical work by Brézin, Itzykson, Parisi and Zuber, in which, among other things, the authors explicitly calculated the coefficients of the topolog…
Critical phenomena in the Dyson hierarchical model and renormalization group
Pavel Bleher
We review some results on the critical phenomena in the Dyson hierarchical model and renormalization group.
Lee-Yang zeros for DHL and 2D rational dynamics, I. Foliation of the physical cylinder
Pavel Bleher, Mikhail Lyubich, Roland Roeder
In a classical work of the 1950's, Lee and Yang proved that the zeros of the partition functions of a ferromagnetic Ising models always lie on the unit circle. Distribution of thes…
Random matrix model with external source and a constrained vector equilibrium problem
Pavel Bleher, Steven Delvaux, Arno B. J. Kuijlaars
We consider the random matrix model with external source, in case where the potential V(x) is an even polynomial and the external source has two eigenvalues a, -a of equal multipli…