The Razumov-Stroganov conjecture: Stochastic processes, loops and combinatorics

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

A fascinating conjectural connection between statistical mechanics and combinatorics has in the past five years led to the publication of a number of papers in various areas, including stochastic processes, solvable lattice models and supersymmetry. This connection, known as the Razumov-Stroganov conjecture, expresses eigenstates of physical systems in terms of objects known from combinatorics, which is the mathematical theory of counting. This note intends to explain this connection in light of the recent papers by Zinn-Justin and Di Francesco.
6 pages, 4 figures, JSTAT News & Perspectives

Keywords

Statistical Mechanics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/125137

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0702432
 http://arxiv.org/abs/cond-mat/0702432
 J. Stat. Mech. (2007) N02001
 doi:10.1088/1742-5468/2007/02/N02001

Collections

arXiv