Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces
Probability
2016-06-07 v1 Mathematical Physics
Complex Variables
Dynamical Systems
math.MP
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.
Keywords
Cite
@article{arxiv.1606.01564,
title = {Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces},
author = {Alexander I. Bufetov and Tomoyuki Shirai},
journal= {arXiv preprint arXiv:1606.01564},
year = {2016}
}
Comments
7 pages