×

Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces. (English) Zbl 1371.60086

Summary: 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.

MSC:

60G55 Point processes (e.g., Poisson, Cox, Hawkes processes)
60B20 Random matrices (probabilistic aspects)
46E22 Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces)
PDFBibTeX XMLCite
Full Text: DOI arXiv