On short time asymptotic behavior of some symmetric diffusions on general state spaces

DOI10.1023/A:1014033208581zbMath1015.47029MaRDI QIDQ1349060

Masanori Hino

Publication date: 21 May 2002

Published in: Potential Analysis (Search for Journal in Brave)

zbMATH Keywords

intrinsic metricshort time asymptoticsMarkovian semigroupLyons Zheng's decompositionwalk demention

Mathematics Subject Classification ID

Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60) Stochastic calculus of variations and the Malliavin calculus (60H07)

Related Items (11)

Sample path large deviations for diffusion processes on configuration spaces over a Riemannian manifold ⋮ Davies’ method for anomalous diffusions ⋮ On the conformal walk dimension: quasisymmetric uniformization for symmetric diffusions ⋮ Time Changes of the Brownian Motion: Poincaré Inequality, Heat Kernel Estimate and Protodistance ⋮ Brownian cylinders and intersecting branes ⋮ Small-time Gaussian behavior of symmetric diffusion semigroups ⋮ An integrated version of Varadhan's asymptotics for lower-order perturbations of strong local Dirichlet forms ⋮ Stability of the elliptic Harnack inequality ⋮ The parabolic Harnack inequality for the time dependent Ginzburg-Landau type SPDE and its application ⋮ An estimate of the gap of spectrum of Schrödinger operators which generate hyperbounded semigroups ⋮ Robust dimension free isoperimetry in Gaussian space

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