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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-ph2024
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…