Ergodic Theory & Statistical Mechanics

This weekly seminar welcomes many visiting speakers and also provides a forum for results by Princeton/IAS faculty and graduate students. While most talks focus on one of the two namesake topics, there tends to be overlap with other fields. Most recently, talks have included material on celestial mechanics, number theory, probability theory, the Schrodinger equation, spectral theory and Teichmueller theory.

Organizer(s): 

For more information about this seminar, contact Yakov Sinai or Jon Fickenscher

Please click on seminar title for complete abstract.

February 11, 2016
2:00pm - 3:30pm
New interactions between Analysis and Number Theory

I will discuss two new (unrelated) phenomena. (1) Taking maximal averages of functions has connections to transcendental number theory and (2) the Ulam sequence (1,2,3,4,6,8,11,...) defined via additive combinatorics has very strange distribution behavior when multiplied with 2.571.... 

Location
Fine Hall 601
Speaker: Stefan Steinerberger ,
Yale University
February 18, 2016
2:00pm - 3:30pm
TBA - Elon Lindenstrauss
Location
Fine Hall 601
Speaker: Elon Lindenstrauss ,
Einstein Institute of Mathematics, Hebrew University of Jerusalem
February 25, 2016
2:00pm - 3:30pm
TBA - Alex Kontorovich
Location
Fine Hall 601
Speaker: Alex Kontorovich ,
Rutgers University, IAS
March 3, 2016
2:00pm - 3:30pm
TBA - Ilya Vinogradov
Location
Fine Hall 601
Speaker: Ilya Vinogradov ,
Princeton University
March 10, 2016
2:00pm - 3:30pm
Positive metric entropy arises between some KAM tori

The celebrated KAM Theory says that if one makes a small perturbation of a non-degenerate completely integrable system, we still have a huge measure of invariant tori with quasi-periodic dynamics in the perturbed system. These invariant tori are known as KAM tori.

Location
Fine Hall 601
Speaker: Dong Chen ,
Penn State University)