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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. |
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| OPEN PROBLEM
dvi | pdf |
|
SPEAKERS |
| SCHEDULE
& ABSTRACTS |
|
Vitaly
Bergelson (Ohio State University) |
| PARTICIPANTS |
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|
| 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) |
| |
|
|
| ORGANIZERS |
|
CONTACT |
| 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 |