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math.PR2021
Ginibre interacting Brownian motion in infinite dimensions is sub-diffusive
Hirofumi Osada
We prove that the tagged particles of infinitely many Brownian particles in $ \Rtwo $ interacting via a logarithmic (two-dimensional Coulomb) potential with inverse temperature $ β…
math.PR2021
Dyson's model in infinite dimensions is irreducible
Hirofumi Osada, Ryosuke Tsuboi
Dyson's model in infinite dimensions is a system of Brownian particles interacting via a logarithmic potential with an inverse temperature of . The stochastic process is giv…
math.PR2021
Dynamical Universality for Random Matrices
Yosuke Kawamoto, Hirofumi Osada
We establish an invariance principle corresponding to the universality of random matrices. More precisely, we prove the dynamical universality of random matrices in the sense that,…