65 citations · 277 across the 54 of their papers we have counts for
4 papers · 2 filters
Kernels of conditional determinantal measures and the proof of the Lyons-Peres Conjecture
Alexander I. Bufetov, Yanqi Qiu, Alexander Shamov
The main result of this paper, Theorem 1.5, establishes a conjecture of Lyons and Peres: for a determinantal point process governed by a reproducing kernel, the system of kernels s…
Conditional measures of generalized Ginibre point processes
Alexander I. Bufetov, Yanqi Qiu
The main result of this paper is that conditional measures of generalized Ginibre point processes, with respect to the configuration in the complement of a bounded open subset on $…
Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces
Alexander I. Bufetov, Tomoyuki Shirai
In this note, we show that determinantal point processes on the real line corresponding to de Branges spaces of entire functions are rigid in the sense of Ghosh-Peres and, under ce…
Conditional measures of determinantal point processes
Alexander I. Bufetov
For a class of one-dimensional determinantal point processes including those induced by orthogonal projections with integrable kernels satisfying a growth condition, it is proved t…