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.

Seminar Events

April 24, 2014
2:00pm - 3:30pm
Some recent results on the Euler-Poincare model

Euler-Poincare equation was introduced by Holm, Marsden and Ratiu. It can be viewed as a natural multi-dimensional generalization of the popular Camassa-Holm equations. I will discuss some recent results on this model.

Location
Fine Hall 601
Speaker: Dong Li ,
University of British Columbia
May 1, 2014
2:00pm - 3:30pm
On the Analogs of Szego Theorem for Ergodic Operators

We consider an asymptotic setting for ergodic operators generalizing that for the Szego theorem on the asymptotics of determinants of finite-dimensional restrictions of the Toeplitz operators.

Location
Fine Hall 601
Speaker: Leonid Pastur ,
Institute for Low Temperature Physics, Kharkiv, Ukraine
May 8, 2014
2:00pm - 3:30pm
A new approach to derandomize compressed sensing matrices

The restricted isometry property (RIP) is a compressed sensing matrix specification which leads to performance guarantees for a wide variety of sparse signal reconstruction algorithms.

Location
Fine Hall 601
Speaker: Afonso Bandeira ,
Princeton University
May 15, 2014
2:00pm - 3:30pm
On CLT for Linear Statistics in Random Matrices

I will discuss recent CLT type results for linear eigenvalue statistics and related objects in various ensembles of Random Matrices.    Joint works with Lingyun Li (UC Davis) and Sean O'Rourke (Yale).

Location
Fine Hall 601
Speaker: Alexander Soshnikov ,
UC Davis