Discrete approximation to Brownian motion with varying dimension in unbounded domains

DOI10.1214/22-EJP829zbMath1498.60317arXiv2110.12716OpenAlexW4286894859MaRDI QIDQ2082684

Shuwen Lou

Publication date: 4 October 2022

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.12716

zbMATH Keywords

Brownian motionisoperimetric inequalitytightnessDirichlet formsrandom walkheat kernel estimatesSkorokhod spaceNash-type inequalityspace of varying dimension

Mathematics Subject Classification ID

Brownian motion (60J65) Dirichlet forms (31C25) Continuous-time Markov processes on discrete state spaces (60J27) Transition functions, generators and resolvents (60J35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (1)

Discrete approximation to Brownian motion with darning

Cites Work

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• Dirichlet forms and symmetric Markov processes.
• Upper bounds for symmetric Markov transition functions
• Brownian motion on some spaces with varying dimension
• Stochastic calculus for symmetric Markov processes
• Discrete approximations to reflected Brownian motion
• Random Walks and Heat Kernels on Graphs

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