Heat kernel estimates on spaces with varying dimension

DOI10.2748/tmj.20201116zbMath1496.60098arXiv2003.06760OpenAlexW3011045856MaRDI QIDQ2169408

Takumu Ooi

Publication date: 2 September 2022

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.06760

zbMATH Keywords

Brownian motionheat kernel estimatesspace of varying dimension

Mathematics Subject Classification ID

Dirichlet forms (31C25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60) Probabilistic potential theory (60J45) Transition functions, generators and resolvents (60J35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dirichlet forms and symmetric Markov processes.
• Surgery of the Faber-Krahn inequality and applications to heat kernel bounds
• Heat kernel on manifolds with ends
• Upper bounds for symmetric Markov transition functions
• Parabolic Harnack inequality and estimates of Markov chains on graphs
• Heat kernel upper bounds on a complete non-compact manifold
• Hitting probabilities for Brownian motion on Riemannian manifolds.
• Brownian motion on some spaces with varying dimension
• Heat kernel estimates on connected sums of parabolic manifolds
• The global behavior of heat kernels in exterior domains
• Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations
• Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality
• Hitting times of Bessel processes
• Brownian motion with drift on spaces with varying dimension
• On the multi-dimensional skew Brownian motion
• Explicit heat kernels of a model of distorted Brownian motion on spaces with varying dimension
• THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS
• Spaces of Harmonic Functions
• Dirichlet heat kernel in the exterior of a compact set

This page was built for publication: Heat kernel estimates on spaces with varying dimension