Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces

Abstract

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 certain additional assumptions, quasi-invariant under the group of diffeomorphisms of the line with compact support.

arXiv comment7 pages

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• Determinantal Processes and Independence
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Cited by in corpus (1)

• Rigidity of Determinantal Point Processes with the Airy, the Bessel and the Gamma Kernel