Large deviations for long cycles and probabilistic approaches to Bose-Einstein condensation

  • Stefan Adams (MPI MiS, Leipzig)
Felix-Klein-Hörsaal (Raum 4-24) Universität Leipzig (Leipzig)


We study probability distributions on cycles representating permutations of finitely many elements. These distributions are defined through Feynman-Kac formulae for traces of certain trace class operators studied in quantum statistical mechanics. Large deviations results are obtained for continuous and lattice systems. We discuss various definitions of Bose-Einstein condensation and their probabilistic interpretation.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail