A Pfaffian formula for monomer-dimer partition functions

Geometric and Analytic Theory of Hamiltonian Systems in Finite and Infinite Dimensions, SISSA, Trieste, Italy

January 19, 2016

Abstract

In this talk, I will present a formula for the partition function of the monomer-dimer problem on an arbitrary planar graph, in terms of a Pfaffian, provided the monomers are restricted to the boundary of the graph.

This is joint work with A.Giuliani and E.H.Lieb.

Slides

PDF:

• Jauslin_Trieste_2016.pdf

• tarball: 16trieste-1.0.tar.gz
• git repository: 16trieste-git (the git repository contains detailed information about the changes in the slides as well as the source code for all previous versions).

References

This presentation is based on

• [GJL15]: A Pfaffian formula for monomer-dimer partition functions
  Alessandro Giuliani, Ian Jauslin, Elliott H. Lieb, 2015
  (published in Journal of Statistical Physics, volume 163, issue 2, pages 211-238, 2016)
  pdf, source