An Exposition of Kasteleyn's Solution of the Dimer Model

In 1961, P. W. Kasteleyn provided a baffling-looking solution to an apparently simple tiling problem: how many ways are there to tile a rectangular region with dominos? We examine his proof, simplifying and clarifying it into this nearly self-contained work.

Bibliographic Details
Main Author: Stucky, Eric
Format: Others
Published: Scholarship @ Claremont 2015
Subjects:
Online Access:http://scholarship.claremont.edu/hmc_theses/89
http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1073&context=hmc_theses