A Pfaffian formula for monomerdimer 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 monomerdimer 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:
LaTeX source:
 tarball: 16trieste1.0.tar.gz
 git repository: 16triestegit (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 monomerdimer partition functions
Alessandro Giuliani, Ian Jauslin, Elliott H. Lieb, 2015
(published in Journal of Statistical Physics, volume 163, issue 2, pages 211238, 2016)
pdf, source