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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Conformal field theory I 28/01/2008
Conformal field theory II 29/01/2008
Conformal field theory III 30/01/2008
Conformal invariance and universality in the 2D lsing model 06/05/2008
Connections between combinatorics and statistical mechanics 18/03/2008
Connes-Kreimer Hopf algabra for non-commutative field theory 25/04/2008
Constructive field theory without tears 28/04/2008
Constructive resolution of two conjectures on real chromatic roots 01/02/2008
Counting lattice paths with the kernel method 09/05/2008
Counting partially directed walks in a symmetric wedge 29/04/2008
Counting with Gaussian integrals and cluster expansions 21/04/2008
Cutoff in total variation for birth-and-death chains 31/03/2008
Determinant formulas for pairing matrices of arrangements of hyperplanes 22/04/2008
Dimer packings with gaps and electrostatics: boundary interactions 07/05/2008
Dimer partition functions on surface graphs of higher genus 08/05/2008
Dominant traits in the zeros of two-variate two-terminal reliability polynomials 10/02/2008
Entanglement in the XXZ chain 06/05/2008
Enumeration and asymptotics of random walks and maps 28/04/2008
Enumeration of planar graphs by matrix integrals 25/04/2008
Enumeration of spanning subgraphs with degree constraints 07/02/2008
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