@article{AIHPB_2007__43_6_729_0, author = {de Tili\`ere, B\'eatrice}, title = {Scaling limit of isoradial dimer models and the case of triangular quadri-tilings}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {729--750}, publisher = {Elsevier}, volume = {43}, number = {6}, year = {2007}, doi = {10.1016/j.anihpb.2006.10.002}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.anihpb.2006.10.002/} }
TY - JOUR AU - de Tilière, Béatrice TI - Scaling limit of isoradial dimer models and the case of triangular quadri-tilings JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2007 SP - 729 EP - 750 VL - 43 IS - 6 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.anihpb.2006.10.002/ DO - 10.1016/j.anihpb.2006.10.002 LA - en ID - AIHPB_2007__43_6_729_0 ER -
%0 Journal Article %A de Tilière, Béatrice %T Scaling limit of isoradial dimer models and the case of triangular quadri-tilings %J Annales de l'I.H.P. Probabilités et statistiques %D 2007 %P 729-750 %V 43 %N 6 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.anihpb.2006.10.002/ %R 10.1016/j.anihpb.2006.10.002 %G en %F AIHPB_2007__43_6_729_0
de Tilière, Béatrice. Scaling limit of isoradial dimer models and the case of triangular quadri-tilings. Annales de l'I.H.P. Probabilités et statistiques, Volume 43 (2007) no. 6, pp. 729-750. doi : 10.1016/j.anihpb.2006.10.002. http://archive.numdam.org/articles/10.1016/j.anihpb.2006.10.002/
[1] Harmonic Analysis and the Theory of Probabilities, Univ. of California Press, 1960. | Zbl
,[2] Generalized tilings with height functions, Morfismos 7 (1) (2003) 47-68.
, ,[3] Quadri-tilings of the plane, math.PR/0403324, Probab. Theory Related Fields, in press. | Zbl
,[4] B. de Tilière, Dimères sur les graphes isoradiaux & modèle d'interfaces aléatoires en dimension , PhD Thesis, Université Paris XI, Orsay, 2004.
[5] Alternating-sign matrices and domino tilings, J. Algebraic Combin. 1 (2) (1992) 111-132. | MR | Zbl
, , , ,[6] Quantum Physics. A Functional Integral Point of View, Springer-Verlag, New York, 1981. | MR | Zbl
, ,[7] Les distributions, Tome 4 : Applications de l'analyse harmonique, Dunod, Paris, 1967. | MR
, ,[8] Local statistics of lattice dimers, Ann. Inst. H. Poincaré Probab. Statist. 33 (5) (1997) 591-618. | Numdam | MR | Zbl
,[9] An Introduction to the Dimer Model, ICTP Lect. Notes, vol. XVII, 2004. | MR | Zbl
,[10] The planar dimer model with boundary: a survey, in: CRM Monogr. Ser., vol. 13, Amer. Math. Soc., Providence, RI, 2000, pp. 307-328. | MR | Zbl
,[11] Conformal invariance of domino tilings, Ann. Probab. 28 (2) (2000) 759-795. | MR | Zbl
,[12] Dominos and the Gaussian free field, Ann. Probab. 29 (3) (2001) 1128-1137. | MR | Zbl
,[13] The Laplacian and Dirac operators on critical planar graphs, Invent. Math. 150 (2) (2002) 409-439. | MR | Zbl
,[14] Height fluctuations in the honeycomb dimer model, math-ph/0405052.
,[15] Dimers and amoebas, Ann. of Math. (2) 163 (3) (2006) 1019-1056. | MR
, , ,[16] Discrete period matrices and related topics, math-ph/0111043.
,[17] Random Surfaces, Asterisque, vol. 304, 2005. | Numdam | MR | Zbl
,[18] Gaussian Free Field for mathematicians, math.PR/0312099. | Zbl
,[19] Conway's tiling groups, Amer. Math. Monthly 97 (8) (1990) 757-773. | MR | Zbl
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