34 citations · 150 across the 45 of their papers we have counts for
4 papers · 1 filter
Subordination for the sum of two random matrices
V. Kargin
This paper is about the relation of random matrix theory and the subordination phenomenon in complex analysis. We find that the resolvent of the sum of two random matrices is appro…
An inequality for the distance between densities of free convolutions
V. Kargin
This paper contributes to the study of the free additive convolution of probability measures. It shows that under some conditions, if measures and , are close to…
Relaxation time is monotone in temperature in the mean-field Ising model
Vladislav Kargin
In this note we consider the Glauber dynamics for the mean-field Ising model, when all couplings are equal and the external field is uniform. It is proved that the relaxation time…
On Free Stochastic Differential Equations
Vladsislav Kargin
The paper derives an equation for the Cauchy transform of the solution of a free stochastic differential equation (SDE). This new equation is used to solve several particular examp…