Quasi-symmetries and rigidity for determinantal point processes   associated with de Branges spaces
  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. 
Alexander I. Bufetov and Tomoyuki Shirai
math.PR math-ph math.CV math.DS math.MP