7 citations · 14 across the 4 of their papers we have counts for
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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,…
Uniqueness of Dirichlet forms related to infinite systems of interacting Brownian motions
Yosuke Kawamoto, Hirofumi Osada, Hideki Tanemura
The Dirichlet forms related to various infinite systems of interacting Brownian motions are studied. For a given random point field , there exist two natural infinite-volume Di…
Dynamical Bulk Scaling limit of Gaussian Unitary Ensembles and Stochastic Differential Equation gaps
Yosuke Kawamoto, Hirofumi Osada
The distributions of -particle systems of Gaussian unitary ensembles converge to Sine point processes under bulk-scaling limits. These scalings are parameterized by a macr…
Finite-particle approximations for interacting Brownian particles with logarithmic potentials
Yosuke Kawamoto, Hirofumi Osada
We prove the convergence of $ \nN $-particle systems of Brownian particles with logarithmic interaction potentials onto a system described by the infinite-dimensional stochastic di…