Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série PT-IHES
Domaines hep-th
Date Mercredi 21 Novembre 2018
Heure 16:30
Institut IHES
Salle Amphithéâtre Léon Motchane
Nom de l'orateur Melotti
Prenom de l'orateur Paul
Addresse email de l'orateur
Institution de l'orateur LPSM
Titre Kashaev's relation for the Ising model, and a loop model
Résumé In 1996 Rinat Kashaev introduced a new way to write the star-triangle move (or Yang-Baxter equations) of the Ising model as a single polynomial relation. In 2013 Richard Kenyon and Robin Pemantle understood that this relation could be seen as a kind of spatial recurrence. I will show how the iteration of Kashaev's recurrence can be related the combinatorics of a loop model with two colors, that was introduced for different reasons by Ole Warnaar and Bernard Nienhuis in 1993. It is also possible to couple this loop model with known relatives of the Ising model: a dimer model and a six-vertex model. Finally I will show a few limit shape phenomena.
Numéro de preprint arXiv
Commentaires Séminaire de probabilités et physique statistique de l'IHES
Fichiers attachés

Pour obtenir l' affiche de ce séminaire : [ Postscript | PDF ]

[ Annonces ]    [ Abonnements ]    [ Archive ]    [ Aide ]    [ ]
[ English version ]