4 papers
The 2D Toda lattice hierarchy for multiplicative statistics of Schur measures
Pierre Lazag
We prove Fredholm determinants build out from generalizations of Schur measures, or equivalently, arbitrary multiplicative statistics of the original Schur measures are tau-functio…
Number variance for homogeneous determinantal processes on hyperbolic spaces
Pierre Lazag
We consider an abstract determinantal point process on a general non--elementary Gromov hyperbolic metric space governed by an orthogonal projection in the case when the space is h…
Accumulated spectrograms for hyperuniform determinantal point processes
Makoto Katori, Pierre Lazag, Tomoyuki Shirai
We define the accumulated spectrogram associated to a locally trace class orthogonal projection operator and to a bounded set using the polar decomposition of its restriction on th…
Explicit description of Christoffel deformations and Palm measures of the Plancherel measure, the -measures and the Gamma process
Pierre Lazag
Christoffel deformation of a measure on the real line consists of multipying this measure by a squared polynomial having its roots in . We introduce Christoffel deformations of…