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math.PR2025
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…
math.PR2024
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…
math.PR2024
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…