Discovery Projects - Grant ID: DP0209590

Funding Activity

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Funded Activity Summary

Key combinatorial problems in lattice statistical mechanics. The enumeration of lattice animals is a famous open problem in combinatorics. These discrete structures also underpin our understanding of many physical phenomena, including polymer collapse and percolation in random media, through the integral part they play in many models in statistical mechanics and theoretical chemistry. The project aims to answer some key open problems in this area using exact and numerical techniques. We expect that this will lead to proofs of the insolvability of certain problems, new exact solutions of others, and a greater understanding of the effect of topology and geometry on the behaviour of these models.

Funded Activity Details

Start Date: 01-08-2002

End Date: 31-12-2006

Funding Scheme: Discovery Projects

Funding Amount: $191,566.00

Funder: Australian Research Council