12 citations · 39 across the 15 of their papers we have counts for
8 papers · 1 filter
Regularity and Stability of Invariant Measures for Diffusion Processes under Synthetic Lower Ricci Curvature Bounds
Kohei Suzuki
The Sobolev regularity of invariant measures for diffusion processes is proved on non-smooth metric measure spaces with synthetic lower Ricci curvature bounds. As an application, t…
Convergence of Non-Symmetric Diffusion Processes on RCD spaces
Kohei Suzuki
We construct non-symmetric diffusion processes associated with Dirichlet forms consisting of uniformly elliptic forms and derivation operators with killing terms on RCD spaces by a…
Convergence of Brownian Motions on Metric Measure Spaces Under Riemannian Curvature-Dimension Conditions
Kohei Suzuki
We show that the pointed measured Gromov convergence of the underlying spaces implies (or under some condition, is equivalent to) the weak convergence of Brownian motions under Rie…
Convergence of Brownian motions on RCD(K,infty) spaces
Kohei Suzuki
Suppose that metric measure spaces X_n=(X_n, d_n, m_n) satisfy RCD(K,infty) conditions with m_n(X_n)=1. Then the measured Gromov convergence (introduced by Gigili-Mondino-Savare '1…
Convergence of Brownian motions on RCD*(K,N) spaces
Kohei Suzuki
Suppose that a sequence of metric measure spaces X_n=(X_n, d_n, m_n) satisfies RCD*(K,N) with Diam(X_n) <D and m_n(X_n)=1. Then Sturm's D-convergence of X_n is equivalent to the we…
Convergence of continuous stochastic processes on compact metric spaces converging in the Lipschitz distance
Kohei Suzuki
We introduce a new distance, a Lipschitz-Prokhorov distance , on the set of isomorphism classes of pairs where is a compact metric space and $P…
On instability of global path properties of symmetric Dirichlet forms under Mosco-convergence
Kohei Suzuki, Toshihiro Uemura
We give sufficient conditions for Mosco convergences for the following three cases: symmetric locally uniformly elliptic diffusions, symmetric Lévy processes, and symmetric jump pr…
Convergences and projection Markov property of Markov processes on ultrametric spaces
Kohei Suzuki
Let be an ultrametric space with certain conditions and be the quotient space of with respect to the partition by balls with a fixed radius . We prove that,…