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

Alexander Igorevich Bufetov, Tomoyuki Shirai

Research output: Contribution to journalArticle

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1-5
Number of pages5
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume93
Issue number1
DOIs
Publication statusPublished - Jan 1 2017

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De Branges Spaces
Quasi-symmetry
Group of Diffeomorphisms
Compact Support
Point Process
Entire Function
Real Line
Rigidity
Invariant
Line

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces. / Bufetov, Alexander Igorevich; Shirai, Tomoyuki.

In: Proceedings of the Japan Academy Series A: Mathematical Sciences, Vol. 93, No. 1, 01.01.2017, p. 1-5.

Research output: Contribution to journalArticle

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