Ergodic Theory and Harmonic Analysis

Tutorial survey papers on important areas of ergodic theory, with related research papers.

The papers printed here explore many of the rapidly developing connections between ergodic theory and other branches of mathematics, giving the background of each area, the most outstanding results and the promising lines of research. They should form perfect starting points for beginning researchers.Ergodic theory is a field that is stimulating on its own, and also in its interactions with other branches of mathematics and science. In recent years, the interchanges with harmonic analysis have been especially noticeable and productive. This book contains survey papers describing the relationship of ergodic theory with convergence, rigidity theory and the theory of joinings. These papers present the background of each area of interaction, the most outstanding results and promising lines of research. They should form perfect starting points for anyone beginning research in one of these areas. Thirteen related research papers describe the work; several treat questions arising from the Furstenberg multiple recurrence theory, while the remainder deal with convergence and a variety of other topics in dynamics.