Combinatorics and Statistical Mechanics

Por: Cambridge University
The past half-decade has seen an increasing interaction between combinatorialists, probabilists, computer scientists and theoretical physicists concerned broadly with the study of "probability theory on graphs" or "statistical mechanics on graphs".

The programme will build on this cross-fertilisation. It is particularly timely for a number of reasons:
* methods from mathematical physics are beginning to make their mark on previously intractable combinatorial problems;
* increasing computer power, together with the wide availability of symbolic-algebra packages, has brought the possibility of exploration of non-trivial examples;
* phase transitions are increasingly being investigated on a wide variety of combinatorial structures, including matroids, set partitions and constraint satisfaction problems, as well as graphs.

Read more at: www.newton.ac.uk/programmes/CSM/
143 episodios disponibles

Latest episodes of the podcast Combinatorics and Statistical Mechanics

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Exact enumeration of plane partitions and rhombus tilings 07/05/2008
Exact valence bond entanglement entropy in the XXZ and related spin chains 06/05/2008
Extremality of Gibbs measure for colorings on trees 02/04/2008
Field theoretic cluster expansions and the Brydges-Kennedy forest sum formula 21/04/2008
Forest-root formulas in statistical physics 28/04/2008
Gaudin functions of any order 02/05/2008
Geometry of polynomials and applications 03/02/2008
Gibbs ensembles of nonintersecting paths, and determinantal processes 26/03/2008
Glauber dynamics for the Ising Model on the Complete Graph 27/03/2008
Graph classes with given 3-connected components: asymptotic counting and critical phenomena 16/04/2008
Graphical representations and cluster algorithms 01/04/2008
Graphs and matroids I 24/01/2008
Graphs and matroids II 25/01/2008
Graphs and matroids III 29/01/2008
Graphs and matroids IV 30/01/2008
Identities for fully packed loop configurations and semistandard tableaux 28/04/2008
Improved bounds on cluster expansion of the abstract polymer model (via the Penrose identity) 22/04/2008
Independent sets, lattice gases and the Loavsz Local Lemma 07/02/2008
Integer symmetric matrices with spectral radius at most 2.019 10/02/2008
Integral equations for cluster expansion sums of polymer models with (soft) repulsion 24/04/2008
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