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

A bijection between subgraphs and orientations based on the combinatorics of the Tutte polynomial 21/04/2008
A bijection for covered maps on orientable surfaces 30/04/2008
A birthday paradox for Markov chains, with an optimal bound for collision in the Pollard Rho algorithm for discrete logarithm 01/04/2008
A Grassmann algebra related to spanning forests 12/05/2008
A Markov chain for certain triple systems 27/03/2008
A new probability inequality and some optimal concentration results 27/03/2008
A rosetta stone: combinatorics, physics, probability 28/04/2008
A simple resummation method for cluster expansions 07/02/2008
Alexander-Conway polynomial, milnor numbers, and the Pfaffian matrix-tree theorem 25/04/2008
Algebraic structure of the q-Knizhnik-Zamolodchikov equation on a segment, partial sums and punctured plane partitions 01/05/2008
Algorithms and complexity I 28/01/2008
Algorithms and complexity II 28/01/2008
Alternating sign matrices from a physicist point of view 02/05/2008
Alternative tableaux, permutations and partially asymmetric exclusion process 07/05/2008
An extensor tree theorem and a Tutte identity for graphs with distinguished port edges 22/04/2008
An introduction to dynamic critical phenomena and cluster algorithms 01/04/2008
An introduction to the Mayer expansion 21/04/2008
Analyticity of the pressure of the hard-sphere gas 22/04/2008
Asymptotic enumeration of contingency tables 27/03/2008
Bank sampling: a practical proposal for sampling from isolated maxima with the Metropolis algorithm 02/04/2008
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