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

Alexander I. Bufetov; Tomoyuki Shirai

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arXiv · 1606.01564

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

Alexander I. Bufetov·Tomoyuki Shirai

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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.

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BibTeX RIS

Alexander I. Bufetov, Tomoyuki Shirai. 2016-06-05. Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces. https://arxiv.org/abs/1606.01564

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