Discrete approximation to Brownian motion with varying dimension in bounded domains

DOI10.1215/21562261-10607383zbMath1519.60089arXiv2007.01933OpenAlexW4375825404MaRDI QIDQ6171927

Shuwen Lou

Publication date: 18 July 2023

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.01933

zbMATH Keywords

Dirichlet formsdiscrete approximationsBrownian motions with varying dimensions

Mathematics Subject Classification ID

Brownian motion (60J65) Dirichlet forms (31C25) Probabilistic potential theory (60J45) Transition functions, generators and resolvents (60J35)

Cites Work

• Dirichlet forms and symmetric Markov processes.
• Censored stable processes
• Brownian motion on some spaces with varying dimension
• Stochastic calculus for symmetric Markov processes
• Discrete approximations to reflected Brownian motion
• A construction of markov processes by piecing out
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