
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. 


OPEN PROBLEM
dvi  pdf 

SPEAKERS 
SCHEDULE
& ABSTRACTS 

Vitaly
Bergelson (Ohio State University) 
PARTICIPANTS 


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 

JeanPierre
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 