Starts 13 Mar 2008 11:00
Ends 13 Mar 2008 20:00
Central European Time
Main Building Seminar Room
Strada Costiera, 11 I - 34151 Trieste (Italy)
I am going to discuss recent results of the replica approach to statistical mechanics of a single classical particle placed in a random N>>1-dimensional Gaussian landscape. The particular attention will be paid to the case of landscapes with logarithmically growing correlations and to its recent generalizations. Those landscapes give rise to a rich multifractal spatial structure of the associated Boltzmann-Gibbs measure. If time allows, I will also briefly discuss a one-dimensional variant of the model which can be analyzed by a mapping to the Dyson's Coulomb gas. In particular, in the latter case we conjecture the explicit form of the distribution of the lowest minimum in such a potential.
  • M. Poropat