Cédric Boutillier

2025/2026

cours assuré avec Titus Lupu.

Présentation du cours
Notes de cours (version très préliminaire et incomplète pour la partie dominos)
Rappels d’analyse complexe, en annexe des notes de cours
Notes manuscriptes dominos
diapositives 2e partie
- rappels
- cours
- SLE

Voici quelques références bibliographiques

Notes de cours de Béatrice de Tilière
Notes de cours de Richard Kenyon
Kasteleyn, P. W. (1961), “The statistics of dimers on a lattice,” Physica, 27, 1209–1225.
Temperley, H. N. V. (1974), “In Combinatorics: Proceedings of the British Combinatorial Conference 1973,” London Mathematical Society Lecture Notes Series #13, 202–204.
Burton, R., and Pemantle, R. (1993), “Local Characteristics, Entropy and Limit Theorems for Spanning Trees and Domino Tilings Via Transfer-Impedances,” The Annals of Probability, Institute of Mathematical Statistics, 21, 1329–1371. https://doi.org/10.1214/aop/1176989121.
Kenyon, R. (1997), “Local statistics of lattice dimers,” Ann. Inst. H. Poincaré Probab. Statist., 33, 591–618.
Kenyon, R. (2001), “Dominos and the Gaussian free field,” Ann. Probab., JSTOR, 29, 1128–1137.
Sheffield, S. (2007), “Gaussian free fields for mathematicians,” Probability theory and related fields, Springer, 139, 521–541.

Smirnov, S. (2001), “Critical percolation in the plane: Conformal invariance, Cardy’s formula, scaling limits,” C. R. Acad. Sci. Paris Sér. I Math., 333, 239–244.
Werner, W. (2009), Percolation et modèle d’Ising, Cours Spéc. (Paris), Paris: Société Mathématique de France, pp. vi + 161.
Beffara, V., and Duminil-Copin, H. (2013), “Planar percolation with a glimpse of Schramm-Loewner evolution,” Probab. Surv., Sponsored by Institute of Mathematical Statistics, Beachwood, OH; Bernoulli Society, 10, 1–50.