Publication : t07/054
Blocked edges on Eulerian maps and mobiles: Application to spanning trees, hard particles and the Ising model
Bouttier J. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)Di Francesco P. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Guitter E. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract:Année de publication : 2007
We introduce Eulerian maps with blocked edges as a general way to implement statistical matter models on random maps by a modification of intrinsic distances. We show how to code these dressed maps by means of mobiles, i.e. decorated trees with labeled vertices, leading to a closed system of recursion relations for their generating functions. We discuss particular solvable cases in detail, as well as various applications of our method to several statistical systems such as spanning trees on quadrangulations, mutually excluding particles on Eulerian triangulations or the Ising model on quadrangulations.
Revue : J. Phys. A 40 7411-7440 (2007)
DOI : 10.1088/1751-8113/40/27/002
Preprint : arXiv:math/0702097
Langue : Anglais
Fichier(s) à télécharger :
1751-8121_40_27_002.pdf
