A challenge in enumerative combinatorics: The graph of contribution

Abstract

We will try to sketch Professor F. Y. Wu's contributions in lattice statistical mechanics, solid state physics, graph theory, enumerative combinatorics and so many other domains of physics and mathematics. We will recall F. Y. Wu's most important and well-known classic results and we will also sketch his most recent researches dedicated to the connections of lattice statistical mechanical models with deep problems in pure mathematics. Since it is hard to provide an exhaustive list of all his contributions, to give some representation of F. Y. Wu's "mental connectivity" we will concentrate on the interrelations between the various results he has obtained in so many different domains of physics and mathematics. Along the way we will also try to understand Wu's motivations and his favorite concepts, tools and ideas.

One LaTex file, 63 pages In honor of F.Y. Wu on the occasion of his 70th birthday. Statphys-Taiwan 2002. The second APCTP and sixth Taiwan International Symposium on Statistical Physics. Table of contents + minor correction

References in corpus (8)

• Spanning Trees on Graphs and Lattices in d Dimensions
• Density of the Fisher zeroes for the Ising model
• Partition function zeroes of a self-dual Ising model
• New sum rule identities and duality relation for the Potts $n$-point correlation function
• Duality Relations for Potts Correlation Functions
• New correlation duality relations for the planar Potts model
• A Soluble Free-Fermion Model in d Dimensions
• Lattice Statistics in Three Dimensions: Exact Solution of Layered Dimer and Layered Domain Wall Models