School Seminars and Colloquia

Spanning trees and Lattice Green Functions

Mathematical Physics Seminar

by Tony Guttmann

Institution: MASCOS/Mathematics and Statistics, The University of Melbourne
Date: Mon 19th October 2009
Time: 1:00 PM
Location: Old Geology Theatre 2, The University of Melbourne

Abstract: By defining a spanning tree generating function (STGF), I make systematic a connection between spanning trees on a lattice, and lattice Green functions (LGF). This connection makes it possible to obtain new results for one or the other, an/or discover possibly new identities involving integrals of elliptic integrals and sums of binomial coefficients. New results for LGF in 2d, and d > 3 are obtained, as are new results for the spanning tree constant on various lattices.
This is work in progress, and accordingly the presentation will be erratic, incomplete and highly non-linear.

For More Information: contact: Iwan Jensen. email: