@incollection{SB_1999-2000__42__29_0,
author = {Le Gall, Jean-Fran\c{c}ois},
title = {Exposants critiques pour le mouvement brownien et les marches al\'eatoires},
booktitle = {S\'eminaire Bourbaki : volume 1999/2000, expos\'es 865-879},
series = {Ast\'erisque},
note = {talk:866},
pages = {29--51},
year = {2002},
publisher = {Soci\'et\'e math\'ematique de France},
number = {276},
zbl = {1012.60072},
language = {fr},
url = {https://www.numdam.org/item/SB_1999-2000__42__29_0/}
}
TY - CHAP AU - Le Gall, Jean-François TI - Exposants critiques pour le mouvement brownien et les marches aléatoires BT - Séminaire Bourbaki : volume 1999/2000, exposés 865-879 AU - Collectif T3 - Astérisque N1 - talk:866 PY - 2002 SP - 29 EP - 51 IS - 276 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1999-2000__42__29_0/ LA - fr ID - SB_1999-2000__42__29_0 ER -
%0 Book Section %A Le Gall, Jean-François %T Exposants critiques pour le mouvement brownien et les marches aléatoires %B Séminaire Bourbaki : volume 1999/2000, exposés 865-879 %A Collectif %S Astérisque %Z talk:866 %D 2002 %P 29-51 %N 276 %I Société mathématique de France %U https://www.numdam.org/item/SB_1999-2000__42__29_0/ %G fr %F SB_1999-2000__42__29_0
Le Gall, Jean-François. Exposants critiques pour le mouvement brownien et les marches aléatoires, dans Séminaire Bourbaki : volume 1999/2000, exposés 865-879, Astérisque, no. 276 (2002), Exposé no. 866, 23 p.. https://www.numdam.org/item/SB_1999-2000__42__29_0/
[1] - Conformal Invariants, Topics in Geometric Function Theory. McGraw-Hill, New York 1973 | Zbl | MR
[2] , - Non-intersection exponents for random walk and Brownian motion. Part I : Existence and an invariance principle. Probab. Th. Rel. Fields 84 (1990), 393-410. | Zbl | MR
[3] , - Non-intersection exponents for random walk and Brownian motion. Part II : Estimates and applications to a random fractal. Ann. Probab. 18 (1990), 981-1009. | Zbl | MR
[4] , - No triple point of planar Brownian motion is accessible. Ann. Probab. 24 (1996), 125-147. | Zbl | MR
[5] , - Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer impedances. Ann. Probab. 21 (1993), 1329-1371. | Zbl | MR
[6] , - An extension of a result by Burdzy and Lawler. Probab. Th. Rel. Fields 89 (1991), 487-502. | Zbl | MR
[7] - Loop-erased self-avoiding walks in two dimensions : exact critical exponents and winding numbers. Physica A 191 (1992), 516-522.
[8] - Random walks and quantum gravity in two dimensions. Phys. Rev. Lett. 81 (1998), 5489-5492. | Zbl | MR
[9] - Two-dimensional copolymers and exact conformal multifractality. Phys. Rev. Lett. 82 (1999), 880-883. | MR
[10] , - Exact partition functions and correlation functions of multiple Hamiltonian walks on the Manhattan lattice. J. Stat. Phys. 51 (1988), 327-434. | Zbl | MR
[11] , - Conformal invariance and intersections of random walks. Phys. Rev. Lett. 61 (1988), 2514-2517.
[12] , , , - The geometry of the Brownian curve. Bull. Sci. math. 117 (1993), 91-106. | Zbl | MR
[13] - The statistics of dimers on a lattice. I. The number of dimer arrangements on a quadratic lattice. Physica 27 (1961), 1209-1225.
[14] - Graph theory and crystal physics. In : Graph Theory and Theoretical Physics. Academic Press, London 1967 | Zbl | MR
[15] - Local statistics of lattice dimers. Ann. Inst. Henri Poincaré Probab. Stat. 33 (1997), 591-618. | Numdam | Zbl | MR
[16] - Conformal invariance of domino tilings. Preprint. | MR
[17] - The asymptotic determinant of the discrete Laplacian. Preprint. | MR
[18] , , - Trees and matchings. Preprint. | MR
[19] - A self-avoiding random walk. Duke Math. J. 47 (1980), 655-693. | Zbl | MR
[20] - Intersections of Random Walks. Birkhäuser, Boston 1991 | Zbl | MR
[21] - Hausdorff dimension of cut points for Brownian motion. Electron. J. Probab. 1 (1996), no 2. | Zbl | MR
[22] - The dimension of the frontier of planar Brownian motion. Electronic Commm. Probab. 1 (1996), no 5. | Zbl | MR
[23] - Loop-erased random walk. In : Perplexing Problems in Probability. Birkhäuser, Boston 1999 | Zbl | MR
[24] , - Intersection exponents for planar Brownian motion. Preprint. | MR
[25] , - Universality for conformally invariant intersection exponents. Preprint. | MR
[26] , , - Values of Brownian intersection exponents I : Half-plane exponents. Preprint. | MR
[27] - Exact fractal dimension of the loop-erased self-avoiding walk in two dimensions. Phys. Rev. Lett. 68 (1992), 2329-2331.
[28] - The Fractal Geometry of Nature. Freeman 1982. | Zbl | MR
[29] - Choosing a spanning tree for the integer lattice uniformly. Ann. Probab. 19 (1991), 1559-1574. | Zbl | MR
[30] - Scaling limits of loop-erased random walks and uniform spanning trees. Preprint. | MR
[31] - Combinatorics : Proceedings of the British Combinatorial Conference 1973. London Math. Soc. Lecture Notes Series 13 (1974), 202-204. | Zbl | MR
[32] , - The dimer problem in statistical mechanics - an exact result. Phil. Mag. 6 (1961), 1061-1063. | Zbl | MR
[33] - Asymptotic behaviour of disconnection and intersection exponents. Probab. Th. Rel. Fields 108 (1997), 131-152. | Zbl | MR







