PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Manfred Denker.

Title:Rigidity and Recurrence for Dynamical Systems
Seminar:Seminar on Probability and its Application
Speaker:Joseph Rosenblatt, University of Illinois
Abstract:
We want to characterize which sequences of whole numbers $(n_m)$ admit a weakly mixing transformation $\tau$ such that $\tau$ is rigid along $(n_m)$, and which times $(n_m)$ admit a weakly mixing transformation $\tau$ such that $\tau$ is not recurrent along $(n_m)$. These questions are in opposition, but also related. The necessary properties are a mix of sparsity and combinatorial, and/or algebraic, structure of the sequence. Examples and counterexamples, as well as some general results, will be described. This talk is based on joint current work with V. Bergelson (Ohio State), A. del Junco (Toronto), and M. Lemanczyk (Torun).

Room Reservation Information

Room Number:MB106
Date:10 / 08 / 2010
Time:02:30pm - 03:25pm