English

Six-Vertex, Loop and Tiling models: Integrability and Combinatorics

Mathematical Physics 2009-12-07 v2 math.MP

Abstract

This is a review (including some background material) of the author's work and related activity on certain exactly solvable statistical models in two dimensions, including the six-vertex model, loop models and lozenge tilings. Applications to enumerative combinatorics and to algebraic geometry are described.

Keywords

Cite

@article{arxiv.0901.0665,
  title  = {Six-Vertex, Loop and Tiling models: Integrability and Combinatorics},
  author = {P. Zinn-Justin},
  journal= {arXiv preprint arXiv:0901.0665},
  year   = {2009}
}

Comments

habilitation thesis

R2 v1 2026-06-21T11:57:58.524Z