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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Boundary partitions in trees and dimers 08/05/2008
Bounding chromatic roots of series parallel graphs in terms of maxmaxflow 01/07/2008
Bounds for the numner of matchings in regular graphs 01/02/2008
Can extra updates delay mixing? 27/03/2008
Can we solve it? Some numerical tests revealing analytic structure. 13/05/2008
Card shuffling and Diophantine approximation 02/04/2008
Chromatic factorisation of graphs 31/01/2008
Chromatic polynomials and a second Hamiltonian cycle 31/01/2008
Chromatic roots and fibonacci numbers 30/01/2008
Chromatic zeros for some recursively defined families of graphs 07/02/2008
Cluster expansions (a historical overview) 15/04/2008
Cluster expansions for hard-core systems: I introduction 06/02/2008
Cluster expansions for hard-core systems: II convergence criteria 06/02/2008
Colouring random graphs randomly 31/03/2008
Combinatorial enumeration I 24/01/2008
Combinatorial enumeration II 25/01/2008
Combinatorial identities and the correlation function gaps in dimer packings 24/04/2008
Combinatorics and quantum information theory 26/03/2008
Complex roots of chromatic polynomials 08/02/2008
Complex zeros of the chromatic and Tutte polynomials 31/01/2008
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