65 citations · 277 across the 54 of their papers we have counts for
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The sine-process has excess one
Alexander I. Bufetov
The main result of this paper is that almost every realization of the sine-process with one particle removed is a uniqueness set for the Paley-Wiener space; with two particles remo…
Conditional measures for Pfaffian point processes: conditioning on a bounded domain
Alexander I. Bufetov, Fabio Deelan Cunden, Yanqi Qiu
For a Pfaffian point process we show that its Palm measures, its normalised compositions with multiplicative functionals, and its conditional measures with respect to fixing the co…
Hölder regularity for the spectrum of translation flows
Alexander I. Bufetov, Boris Solomyak
The paper is devoted to generic translation flows corresponding to Abelian differentials on flat surfaces of arbitrary genus . These flows are weakly mixing by the Avila-Fo…
A hierarchy of Palm measures for determinantal point processes with gamma kernels
Alexander I. Bufetov, Grigori Olshanski
The gamma kernels are a family of projection kernels on a doubly infinite -dimensional lattice. They are expressed through Euler's gamma function an…
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…