Starts 11 Nov 2009 16:00

Ends 11 Nov 2009 20:00

Central European Time

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Informal Seminar on Statistical Physics: "From vicious walkers to random matrix theory: A path-integral approach"

Starts 11 Nov 2009 16:00

Ends 11 Nov 2009 20:00

Central European Time

ICTP

Leonardo da Vinci Building Seminar Room

Strada Costiera, 11
I - 34151 Trieste (Italy)

Vicious, i.e. non-intersecting, random walkers have been studied in various physical situations, ranging from wetting and melting to stochastic growth processes. In this talk, I will present a method based on path integrals associated to free Fermions models to study such statistical models. In particular I will show how this allows for a physical derivation of the connection between certain constrained vicious walkers and random matrix theory. Besides I will use this method to calculate exactly the distribution of the maximal height of p vicious walkers with and without a wall.

- M. Poropat