2015/2016 and 2016/2017: Cours de M2 "Dynamique de Glauber et convergence vers l’équilibre"2017/2018 and 2018/2019: Cours de M2 "Modeles de dimeres"Lecture notes (!UNFINISHED DRAFT! if you spot typos or mistakes, let me know!)2019/2020 and 2018/2019: Cours de M2 "Random walks on Graphs"3/10/2019: electric network formalism, effective conductance/resistance, relation with transience. Rayleigh's and Thomson monotonicity principles
10/10/2019:The«random path method».Proof of Polya’s theorem.Rough embeddings andgraph equivalence. Intermezzo: RW conditionedon hitting events, Doob’s transform
17/10/2019: The canonical Gaussian Field on networks
24/10/2019: Uniform and weighted spanning trees. Wilson’s algorithm andloop-erased random walk.D. Levin, Y. Peres, E. Wilmer, Markov Chains and Mixing times