6 citations · 22 across the 8 of their papers we have counts for
7 papers · 1 filter
Last-passage percolation and product-matrix ensembles
Sergey Berezin, Eugene Strahov
We introduce and study a model of directed last-passage percolation in planar layered environment. This environment is represented by an array of random exponential clocks arranged…
Functional Central Limit Theorems for Constrained Mittag-Leffler Ensemble in Hard Edge Scaling
Sergey Berezin
We consider the hard-edge scaling of the Mittag-Leffler ensemble confined to a fixed disk inside the droplet. Our primary emphasis is on fluctuations of rotationally-invariant addi…
Gap probability for products of random matrices in the critical regime
Sergey Berezin, Eugene Strahov
The singular values of a product of independent Ginibre matrices of size form a determinantal point process. Near the soft edge, as both and go to infinity…
On barycenters of probability measures
Sergey Berezin, Azat Miftakhov
A characterization is presented of barycenters of the Radon probability measures supported on a closed convex subset of a given space. A case of particular interest is studied, whe…
On the Rate of Convergence in the Central Limit Theorem for Linear Statistics of Gaussian, Laguerre, and Jacobi Ensembles
Sergey Berezin, Alexander I. Bufetov
Under the Kolmogorov--Smirnov metric, an upper bound on the rate of convergence to the Gaussian distribution is obtained for linear statistics of the matrix ensembles in the case o…
Skew Brownian motion with dry friction: The Pugachev-Sveshnikov approach
Sergey Berezin, Oleg Zayats
The Caughey-Dieness process, also known as the Brownian motion with two valued drift, is used in theoretical physics as an advanced model of the Brownian particle velocity if the r…
On energy dissipation in a friction-controlled slide of a body excited by random motions of the foundation
Sergey Berezin, Oleg Zayats
We study a friction controlled slide of a body excited by random motions of the foundation it is placed on. Specifically, we are interested in quantities such as displacement, trav…