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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Partitions, matrix models, and geometry 01/05/2008
Path coupling without contraction 29/03/2008
Phase transitions and cluster expansions I 24/01/2008
Phase transitions and cluster expansions II 25/01/2008
Phase transitions and cluster expansions III 29/01/2008
Potts model, O(n) non-linear sigma-models and spanning forests 23/04/2008
Probablistic methods I 28/01/2008
Probablistic methods II 30/01/2008
Properties of the interfaces in the multyphase regimes 01/04/2008
Proving slow mixing with fault lines and fat contours 01/04/2008
Prudent and quasi-prudent self-avoiding walks and polygons 08/05/2008
Random colorings 28/03/2008
Random randomly coloured graphs 13/05/2008
Randomised algorithms for the maximum clique problem 02/04/2008
Rapid mixing of Gibbs sampling on graphs that are sparse on average 31/03/2008
Rapidly mixing Markov chains and the sharp transition in 2D ising percolation 02/04/2008
Real zeros of chromatic and flow polynomials 30/01/2008
Representations and partition function zeros of the Potts model with and without boundaries 08/02/2008
Self-dual spin systems, zeros of partition function, and error correcting codes 08/02/2008
Set-theoretic solutions of the Yang-Baxter equation - a combinatorial approach 26/03/2008
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