Ergodic theory is a field that is lively 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 in both directions. The 1993
Alexandria Conference explored many of these connections as they
were developing. The three survey papers in this book describe the
relationships of almost everywhere convergence (J. Rosenblatt and
M. Wierdl), rigidity theory (R. Spatzier), and the theory of
joinings (J.-P. Thouvenot). These papers present the background of
each area of interaction, the most outstanding recent results, and
the currently promising lines of research. They should form perfect
starting points for anyone beginning research in one of these
areas. The book also includes thirteen research papers that
describe recent work related to the theme of the conference:
several treat questions arising from the Furstenberg multiple
recurrence theory, while the remainder discuss almost everywhere
convergence and a variety of other topics in dynamics.
General
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