11 citations · 22 across the 12 of their papers we have counts for
12 papers
Pyramids and Extended Metric Measure Spaces
Nicola Gigli, Kohei Suzuki, Simone Vincini
A pyramid is a generalisation of metric measure spaces (mm-spaces) introduced by M.~Gromov (Birkhäuser 1999) to establish a geometric framework for measure-concentration problems.…
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…
Stability of Synthetic Ricci Curvature Lower Bounds for Inverse Limit Extended Metric Measure Spaces
Kohei Suzuki, Takumi Yokota
We show that every Polish extended metric measure space arises as an inverse limit of metric measure spaces up to isomorphism. We then prove that synthetic Ricci curvature lower bo…
Persistence of Rademacher-type and Sobolev-to-Lipschitz properties
Lorenzo Dello Schiavo, Kohei Suzuki
We consider the Rademacher- and Sobolev-to-Lipschitz-type properties for arbitrary quasi-regular strongly local Dirichlet spaces. We discuss the persistence of these properties und…
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…
Configuration Spaces over Singular Spaces -- II. Curvature
Lorenzo Dello Schiavo, Kohei Suzuki
This is the second paper of a series on configuration spaces over singular spaces . Here, we focus on geometric aspects of the extended metric measure space $(Υ, \mathsf{d}_…
Removable sets and -uniqueness on manifolds and metric measure spaces
Michael Hinz, Jun Masamune, Kohei Suzuki
We study symmetric diffusion operators on metric measure spaces. Our main question is whether or not the restriction of the operator to a suitable core continues to be essentially…
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…
Rademacher-type Theorems and Sobolev-to-Lipschitz Properties for Strongly Local Dirichlet Spaces
Lorenzo Dello Schiavo, Kohei Suzuki
We extensively discuss the Rademacher and Sobolev-to-Lipschitz properties for generalized intrinsic distances on strongly local Dirichlet spaces possibly without square field opera…