THURSDAY- April 19

 

Phillips Hall 365 – Registration-Refreshments – 2:30 pm 

 

 Phillips Hall 332 – Colloquium Talk – 4:00pm- 5:00pm

                                       

                                        by Prof. Idris Assani

 

Coboundaries and a maximal inequality for some nonconventional ergodic averages

  

   We will present  some of  results obtained on the non trivial problem of the  convergence of some nonconventional ergodic averages.  These include results of H. Furstenberg, H. Furstenberg and Katznelson, J.P. Conze and E. Lesigne, J. Bourgain, T. Gowers, B. Host and B. Kra, T. Tao, T. Austin and M. Walsh (to name a few).   We will also present some of our results on the pointwise convergence of these nonconventional ergodic averages. The technical details of our results will be given in two talks during the workshop (Friday and Saturday from 2:00pm to 2:30 pm).

The last fifteen minutes of the talk will be devoted to the history and achievements of this yearly workshop that started in the summer 2002.

 

 

DINNER- TOP of the Hill – 6:00 pm

 

FRIDAY – April 20- Room – Stone Center -Hickok Room

9:00 am- 9:40 am – Boris Kalinin–

Lyapunov exponents of cocycles over non-uniformly hyperbolic systems

10:00 am -10:40 am – Tushar Das

Singular systems of linear forms with a prescribed uniform irrationality exponent

11:00 am – 11:40 am – Guy Cohen

Doubly power bounded operators on Lp

 

Lunch break 

2: 00 pm – 2:30 pm – Idris Assani

– Coboundaries for some nonconventional ergodic averages

2:50 pm – 3:20pm – M. Roychowdhury

Quantization

3:40 pm —4:20 pm – B. Forghani

Poisson boundary of random walks on free semigroups

 

SATURDAY – April 21 – Room – 332- Phillips Hall

 

9:00 am – 9:40 am – Albert Fathi

Recurrence on abelian cover. Application to closed geodesics in manifolds of negative curvature

10:00 am – 10:40 am – Theresa Anderson

A Spherical Maximal Function along the Primes.

11:00 am – 11:40 am V. Sadovskaya

Boundedness and invariant norms for cocycles over hyperbolic systems

 

   – Lunch break

 

2:00 pm- 2:30 pm – Idris Assani

A maximal inequality for some nonconventional ergodic averages

2:50pm – 3:30 pm – – G. Tiozzo

On the local Hoelder exponent of the entropy function

4:00 pm – 5:00 pmProblems Session

 

SUNDAY – April 23 – Room 332 – Phillips Hall

 

9:30 am – 10:10 am – Jason Atnip

An Almost Sure Invariance Principle for Random Dynamical Systems

10:30 am – 11:10 am – Michael Lin

Averages along the primes of doubly power bounded operators in Lr

 

End of the workshop