Condenser physics applied to Markov chains - A brief introduction to potential theory
A. Gaudilliere
TL;DR
This paper introduces potential theory concepts as applied to Markov chains, providing foundational insights into metastability phenomena within stochastic processes.
Contribution
It offers an accessible introduction to potential theory in the context of Markov chains, bridging theoretical concepts with applications in metastability analysis.
Findings
Provides foundational understanding of potential theory in Markov chains
Connects potential theory to metastability phenomena
Serves as an educational resource for probability students
Abstract
These notes constitute the introduction to potential theory I exposed at the XIIth brazilian school of probability inside Elisabetta Scoppola's Introduction to Metastability.
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Taxonomy
TopicsMarkov Chains and Monte Carlo Methods · Theoretical and Computational Physics · Stochastic processes and statistical mechanics