Generalized Dirichlet and Thomson Principles and Their Applications

2021/02/10 by Insuk Seo, Seo, Insuk
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.2102.05538

openalex publication_date 2021/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article is a lecture note on the potential theory of (possibly non-reversible) Markov processes and on the connection of this theory with quantitative analysis of the metastability of stochastic processes.

Citations

• The Activated Complex in Chemical Reactions
• Second Time Scale of the Metastability of Reversible Inclusion Processes

Related

• Non-reversible Metastable Diffusions with Gibbs Invariant Measure II: Markov Chain Convergence
• Non-reversible Metastable Diffusions with Gibbs Invariant Measure I: Eyring-Kramers Formula
• A Dirichlet principle for non reversible Markov chains and some recurrence theorems
• Stochastic Theory of Quantum Mechanics
• Non-reversible processes: GENERIC, Hypocoercivity and fluctuations