Résumé de section

  • Lecture 9 (25.03.26) - Example of MCMC: hard-core model; Metropolis dynamics for Ising model. 
    Lecture 10 (26.03.26) - Harmonic functions w.r.t. the transition matrix P. The Dirichlet problem related to P: existence of bounded solutions; uniqueness of bounded solutions (tool: the Lévy's martingale). Comment on the Poisson equation.