activity
20072020
most citedOn the Equivalence of the Entropic Curvature-Dimension Condition and Bochner's Inequality on Metric Measure Spaces

12 citations · 37 across the 11 of their papers we have counts for

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Showing 2009Show all

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math.PR2009

Duality on gradient estimates and Wasserstein controls

Kazumasa Kuwada

We establish a duality between L^p-Wasserstein control and L^q-gradient estimate in a general framework. Our result extends a known result for a heat flow on a Riemannian manifold.…

math.PR2009

Non-explosion of diffusion processes on manifolds with time-dependent metric

Kazumasa Kuwada, Robert Philipowski

We study the problem of non-explosion of diffusion processes on a manifold with time-dependent Riemannian metric. In particular we obtain that Brownian motion cannot explode in fin…