Harmonic Analysis, Ergodic Theory and Probability
a conference in honor of Izzy Katznelson's 70th Birthday

Partially supported by Stanford University, the Clay Mathematics Institute
and the National Science Foundation

Stanford University, December 12-14, 2004

Since the early days of ergodic theory and the pioneering work von Neumann, ergodic theory and harmonic analysis have been intimately connected, often in surprising ways. A classic example of this is the use of harmonic analysis to prove convergence results for ergodic averages. Recently, there has been a great deal of interplay between these two fields, including work motivated by applications to Ramsey Theory. This interplay also touches upon subjects of active interest in probability theory, such as martingales, Bernoulli convolutions and random polynomials, as well as the Kakeya problem which is one of the outstanding open problems in harmonic analysis. This conference will bring together many of the leading mathematicians in these related areas to report on recent developments of broad interest and to point the way for exciting directions for future research. In this way we plan to honor the significant contributions of Izzy Katznelson in these areas on the occasion of his 70th Birthday.

SCHEDULE & ABSTRACTS   Vitaly Bergelson (Ohio State University)
PHOTOS   Jean Bourgain (Institute for Advanced Study)
CONFERENCE LOCATIONS   Hillel Furstenberg (Hebrew University)
The locations for the conference are as follows:   Ben Green (University of British Columbia)
Sunday, 12/12/04 | Jordan Hall, Room 040   Jean-Pierre Kahane (University of Paris, Orsay)
Monday, 12/13/04 | Jordan Hall, Room 040   Bryna Kra (Penn State University & Northwestern)
Tuesday, 12/14/04 | Jordan Hall, Room 040   Elon Lindenstrauss (NYU & Clay Mathematics Institute)
    Assaf Naor (Microsoft Research)
TOPICS   Yuval Peres (University of California, Berkeley)
Szemeredi's theorem and its generalizations
  Wilhelm Schlag (Caltech)
Multiple recurrence   Mikhail Sodin (Tel Aviv University)
The Kakeya problem   Terence Tao (University of California, Los Angeles)
Properties of random functions and polynomials   Benjamin Weiss (Hebrew University)
Amir Dembo (Stanford University)   Conference Coordination - Pat Cahill
Bryna Kra (Penn State University & Northwestern)   Website - John Esposito
Elon Lindenstrauss (NYU & Clay Mathematics Institute)   Printable poster