extended metric measure spaces 1functional inequalities 1measure concentration 1observable distance 1pyramids 1
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math.PR2026
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…
math.PR2026
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…
math.PR2025
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…