19 citations · 23 across the 5 of their papers we have counts for
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Infinite-dimensional stochastic differential equations for Coulomb random point fields
Hirofumi Osada, Shota Osada
We study the infinite-dimensional stochastic differential equations (ISDEs) of infinite-particle systems associated with Coulomb random point fields. The stochastic dynamics descri…
Ergodicity of unlabeled dynamics of Dyson's model in infinite dimensions
Hirofumi Osada, Shota Osada
Dyson's model in infinite dimensions is a system of Brownian particles that interact via a logarithmic potential with an inverse temperature of . The stochastic process can…
Tree representations of -determinantal point processes
Shota Osada
We introduce tree representations for -determinantal point processes. The -determinantal point processes is introduced as a one parameter extension of the determinantal poi…
Isomorphisms between determinantal point processes with translation invariant kernels and Poisson point processes
Shota Osada
We prove the Bernoulli property for determinantal point processes on with translation-invariant kernels. For the determinantal point processes on …
Discrete approximations of determinantal point processes on continuous spaces: tree representations and tail triviality
Hirofumi Osada, Shota Osada
We prove tail triviality of determinantal point processes on continuous spaces. Tail triviality had been proved for such processes only on discrete spaces, and hence we have g…