2015/2016 and 2016/2017: Cours de M2 "Dynamique de Glauber et convergence vers l’équilibre"

2017/2018: Cours de M2 "Modeles de dimeres"

Horaire et lieu: mardi matin, 9h00 en salle M7-411 de l'ENS Lyon (4eme etage, Batiment Sciences)

Dates des cours: 29/1/2018, 30/1/2018, 6/2/2018, 27/2/2018, 6/3/2018, 13/3/2018, 20/3/2018, 27/3/2018.


29/1/2018: Dimer model on bipartite planar graphs. Height function. Kasteleyn matrix and Kasteleyn's theorem (planar, bipartite case)

30/1/2018: Existence of Kasteleyn's orientation. Kasteleyn's theorem in the non-planar case (torus) and for non-bipartite, planar graphs

6/2/2018: Determinantal form of correlations. Diagonalization of the Kasteleyn matrix on the torus, and computation of the infinite-volume free energy.

27/2/2018: Infinite-volume correlations. Inverse Kasteleyn matrix and its long-distance behavior.

6/3/2018: Height change and Legendre duality

13/3/2018: Variational principle and macroscopic shape (without proof). Height fluctuations and massless Gaussian field (Part I)

20/3/2018: Height fluctuations and massless Gaussian field (Part II).