By Doron Zeilberger
Written: March 2, 2000.
The Transfer Matrix Method is one of the most useful tools
in statistical physics. I will soon show how to extend it
to the Umbral Transfer Matrix Method, inspired by Gian-Carlo
Rota's incredible insight. But in order to facilitate this
phase transition from a finite to an infinite "alphabet",
I had to really understand, and implement, the finite case.
This article is the result.
IMPORTANT: This article is accompanied by SEVEN Maple package.
In order to download them, and view input and output files
go to
The Maple Packages for Counting Skinny Creatures.
Doron Zeilberger's List of Papers
.pdf
.ps
.tex
Appeared in:
INTEGERS v. 0 (2000), A9.
Added April 21, 2000: I wish to thank Bob Russel for
correcting a minor error in a previous version.