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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.PR2010★ 6 cited
Complex Brownian Motion Representation of the Dyson Model
Makoto Katori, Hideki Tanemura
Dyson's Brownian motion model with the parameter , which we simply call the Dyson model in the present paper, is realized as an -transform of the absorbing Brownian motion…
math.PR2003
Noncolliding Brownian motions and Harish-Chandra formula
Makoto Katori, Hideki Tanemura
We consider a system of noncolliding Brownian motions introduced in our previous paper, in which the noncolliding condition is imposed in a finite time interval . This is a…