Convergence of time-inhomogeneous geodesic random walks and its application to coupling methods

DOI10.1214/11-AOP676zbMath1266.60060arXiv1210.3138OpenAlexW3105609728MaRDI QIDQ690868

Kazumasa Kuwada

Publication date: 29 November 2012

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3138

zbMATH Keywords

diffusion processRicci flowcouplinggeodesic random walk

Mathematics Subject Classification ID

Related Items (11)

Diffusion semigroup on manifolds with time-dependent metrics ⋮ A stochastic target approach to Ricci flow on surfaces ⋮ Transportation-cost inequalities on path spaces over manifolds carrying geometric flows ⋮ Monotonicity of time-dependent transportation costs and coupling by reflection ⋮ Homogenisation for anisotropic kinetic random motions ⋮ Reflecting diffusion processes on manifolds carrying geometric flow ⋮ Spectral gap on Riemannian path space over static and evolving manifolds ⋮ Space-time Wasserstein controls and Bakry-Ledoux type gradient estimates ⋮ A coupling of Brownian motions in the \(\mathcal{L}_0\)-geometry ⋮ An entropy formula for the heat equation on manifolds with time-dependent metric, application to ancient solutions ⋮ Semiclassical limits of quantum partition functions on infinite graphs

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