11 citations · 22 across the 12 of their papers we have counts for
6 papers · 1 filter
Collision and non-collision for diffusions on configuration space
Theodoros Assiotis, Kohei Suzuki
We develop criteria for collision and non-collision of reversible infinitely many interacting diffusion processes in the real line. The approach is potential-theoretic and is based…
Brownian motion in Minkowski normed spaces
Shin-ichi Ohta, Marco Rehmeier, Kohei Suzuki
A Minkowski normed space is the Euclidean space equipped with a (possibly asymmetric) uniformly convex and smooth norm, forming a particular class of Finsler manifolds. We construc…
Wasserstein geometry and Ricci curvature bounds for Poisson spaces
Lorenzo Dello Schiavo, Ronan Herry, Kohei Suzuki
Let be the configuration space over a complete and separable metric base space, endowed with the Poisson measure . We study the geometry of from the…
Curvature bound of Dyson Brownian Motion
Kohei Suzuki
We construct a strongly local symmetric Dirichlet form on the configuration space whose symmetrising (thus also invariant) measure is , which is the law of the…
On the Ergodicity of Interacting Particle Systems under Number Rigidity
Kohei Suzuki
In this paper, we provide relations among the following properties: (a) the tail triviality of a probability measure on the configuration space ; (b) the finite…
Configuration spaces over singular spaces -- I. Dirichlet-Form and Metric Measure Geometry
Lorenzo Dello Schiavo, Kohei Suzuki
We construct a canonical differential structure on the configuration space over a singular base space and with a general invariant measure on . We present an analyti…