From the 1 of 5 linked papers with an AI index.
5 papers
Pyramids and Extended Metric Measure Spaces
Nicola Gigli, Kohei Suzuki, Simone Vincini
The paper proves that every Gromov pyramid can be represented by an extended metric measure space via a 1‑Lipschitz order, introduces concentrated emm‑spaces and an observable dist…
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…
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 t…