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

Mostrando página 5 de 8

Introduction to non commutative field theory 23/04/2008
Introduction to species and combinatorial equations 20/04/2008
Introduction to the theory of heaps of pieces with applications to statistical mechanics and quantum gravity 21/04/2008
Ising Model on Kn: mixing time for Glauber dynamics at critical ϐ 27/03/2008
Large deviation of the top eigenvalue of a random matrix 01/05/2008
Large deviations and quantum gravity 13/05/2008
Log-concave random graphs 31/03/2008
Matroids with nine elements 29/04/2008
Mayer polytopes and divided differences 22/04/2008
Multiple random walks in random regular graphs 31/03/2008
Multivariable Tutte and transition polynomials 25/04/2008
Multivariate generalisation of Hankel determinants of Catalan numbers and middle binomial coefficients 02/05/2008
Near Boltzmann-Gibbs measure preserving stochastic variational integrator 02/04/2008
New methods for solving high degree polynomial equations that have multiple roots 01/02/2008
On graphs whose chromatic polynomials have no zeros in (1,2) 31/01/2008
On hitting times and fastest strong stationary times for birth-and-death chains and other skip-free chains 31/03/2008
On polynomials arising from zonotopal algebra 06/02/2008
On the zeros of independence and open set polynomials 31/01/2008
Parametric representation of non commutative quantum field theory 23/04/2008
Parking functions and acyclic orientations 02/04/2008
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