Alexander Igorevich Bufetov, Tomoyuki Shirai
Proc. Japan Acad. Ser. A Math. Sci. 93 (1), 1-5, (January 2017) DOI: 10.3792/pjaa.93.1
KEYWORDS: Quasi-symmetries, rigidity, determinantal point process (DPP), de Branges space, 60G55, 46E22, 60B20
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.
