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math.PR2025
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…
math.PR2019
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…
math.PR2019
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…