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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Solving Bogoliubov's recursion in renormalisation using a simple algebraic identity 24/04/2008
Some notes on the combinatorial zeta function 30/04/2008
Statistical mechanics I 24/01/2008
Statistical mechanics II 25/01/2008
Statistical mechanics III 29/01/2008
Testing expansion in bounded degree graphs 02/04/2008
The asymmetric exclusion process: an integrable model for non-equilibrium statistical mechanics 06/05/2008
The bead model 07/05/2008
The calculus of combinatorial constructions and Hopf algebras 31/01/2008
The clustering coefficient of a scale-free random graph 12/05/2008
The continuous limit of random planar maps 01/05/2008
The east model: a case study from glassy dynamics 28/03/2008
The topological Tutte polynomials of Bollobas and Riordan: properties and relations to other graph polynomials 06/02/2008
Theory of electric networks: the two-point resistance and impedance 09/05/2008
Three colour statistical model with 'domain wall' boundary conditions 02/05/2008
Trees versus connected graphs I 13/05/2008
Trees versus connected graphs II 27/05/2008
Vacancy localisation in the square dimer model, statistics of geodesic in large quadrangulations 30/04/2008
What happens to a random walk before equilibrium? 02/04/2008
Zero-free regions for multivariate Tutte polynomials 10/06/2008
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