Proceedings of the Fourth German-Japanese Symposium, Infinite Dimensional Harmonic Analysis IV On the Interplay Between Representation Theory, Random Matrices, Special Functions, and Probability : the University of Tokyo, Japan, 10-14 September 2007

The Fourth Conference on Infinite Dimensional Harmonic Analysis brought together experts in harmonic analysis, operator algebras and probability theory. Most of the articles deal with the limit behavior of systems with many degrees of freedom in the presence of symmetry constraints. This volume gives new directions in research bringing together probability theory and representation theory.