Condenser physics applied to Markov chains - A brief introduction to potential theory

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.

Lecture notes, 49 pages, 2 figures

References in corpus (4)

• Metastability in Glauber dynamics in the low-temperature limit: Beyond exponential asymptotics
• Transience, Recurrence and Critical Behavior for Long-Range Percolation
• Metastability and small eigenvalues in Markov chains
• Homogeneous nucleation for Glauber and Kawasaki dynamics in large volumes at low temperatures

Cited by in corpus (9)

• Tunneling and Metastability of continuous time Markov chains
• Metastable states, quasi-stationary distributions and soft measures
• Zero-temperature limit of the Kawasaki dynamics for the Ising lattice gas in a large two-dimensional torus
• Relaxation to equilibrium of generalized East processes on ${\mathbb{Z}}^d$: Renormalization group analysis and energy-entropy competition
• Kawasaki dynamics with two types of particles: critical droplets
• On the Poisson equation for nonreversible Markov jump processes
• Metastable Markov chains
• Time scale separation and dynamic heterogeneity in the low temperature East model
• Berman-Konsowa principle for reversible Markov jump processes