Brownian motion on some spaces with varying dimension

DOI10.1214/18-AOP1260zbMath1466.60165arXiv1604.07870WikidataQ128749760 ScholiaQ128749760MaRDI QIDQ1731888

Shuwen Lou, Zhen-Qing Chen

Publication date: 14 March 2019

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

Full work available at URL: https://arxiv.org/abs/1604.07870

zbMATH Keywords

Brownian motionGreen functionLaplacianHölder regularityheat kernel estimatestransition density functionspace of varying dimension

Mathematics Subject Classification ID

Brownian motion (60J65) Dirichlet forms (31C25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Probabilistic potential theory (60J45) Transition functions, generators and resolvents (60J35)

Related Items (8)

Distorted Brownian motions on space with varying dimension ⋮ Heat kernel estimates on spaces with varying dimension ⋮ Long range random walks and associated geometries on groups of polynomial growth ⋮ Discrete approximation to Brownian motion with varying dimension in bounded domains ⋮ Discrete approximation to Brownian motion with darning ⋮ Darning and gluing of diffusions ⋮ Explicit heat kernels of a model of distorted Brownian motion on spaces with varying dimension ⋮ Discrete approximation to Brownian motion with varying dimension in unbounded domains

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