Probabilistic approaches to Bose-Einstein condensation

We introduce some probabilistic concepts of Bose-Einstein condensation. In particular we discuss probability distributions on cycles. Here cycles do correspond to permutations of finitely many elements. As we give this week also a talk at the Berlin-Leipzig seminar, we focus in the first part on an introduction to Bose-Einstein condensation, it's meaning and mathematical justification. Aim is to acquaint the audience with the notion Bose-Einstein condensation.