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71 papers · 1 filter
The Expectation of a Multiplicative Functional under the Sine-Process
Alexander I. Bufetov
An explicit expression for the expected value of a regularized multiplicative functional under the sine-process is obtained by passing to the scaling limit in the Borodin-Okounkov-…
Fluctuations of the process of moduli for the Ginibre and hyperbolic ensembles
Alexander I. Bufetov, David García-Zelada, Zhaofeng Lin
We investigate the point process of moduli of the Ginibre and hyperbolic ensembles. We show that far from the origin and at an appropriate scale, these processes exhibit Gaussian a…
The conditional measures for the determinantal point process with the Bergman kernel
Alexander I. Bufetov
This note gives an explicit description of conditional measures for the determinantal point process with the Bergman kernel.
A new bound in the Littlewood--Offord problem
Friedrich Götze, Andrei Yu. Zaitsev
The paper deals with studying a connection of the Littlewood--Offord problem with estimating the concentration functions of some symmetric infinitely divisible distributions.
Intermediately subcritical branching process in random environment: the initial stage of the evolution
E. E. Dyakonova
We consider branching process evolving in i.i.d. random environment. It is assumed that the process is intermediately subcritical. We investigate the initial stage of the evolution…
Bipartite dimer model: perfect t-embeddings and Lorentz-minimal surfaces
Dmitry Chelkak, Benoît Laslier, Marianna Russkikh
This is the second paper in the series devoted to the study of the dimer model on t-embeddings of planar bipartite graphs. We introduce the notion of perfect t-embeddings and assum…