Department of Mathematics and Statistics at the Faculty of Science
University of Calgary
An Introduction to Lattice Animals
Submitted by jlongwor on Tue, 04/21/2009 - 10:01am.
May 25 2009 - 11:00am
Speaker:
Neal Madras, York University
Location:
MS 325In the terminology of statistical mechanics, a "lattice animal" is just a finite connected subgraph of a regular periodic lattice. The simple cubic lattice is of particular interest, since three-dimensional lattice animals serve as models of branched polymer molecules.
My talk will focus on the asymptotics of the number of lattice animals with N vertices, as N tends to infinity. The significance of certain "critical exponents" will be highlighted. I shall also show how a geometric inequality of Loomis and Whitney is used in the proofs in two very different ways.
My talk will focus on the asymptotics of the number of lattice animals with N vertices, as N tends to infinity. The significance of certain "critical exponents" will be highlighted. I shall also show how a geometric inequality of Loomis and Whitney is used in the proofs in two very different ways.