Periodic Orbits and Extractors

COMPUTER SCIENCE/DISCRETE MATH II
Topic:Periodic Orbits and Extractors
Speaker:Elon Lindenstrauss
Affiliation:Princeton University
Date:Tuesday, April 4
Time/Room:10:30am - 12:30pm/S-101

We consider periodic orbits of multiparameter diagonalizable actions. A simple example of such an action is the action generated by the maps x -> 2x mod 1 and x -> 3x mod 1 on R/Z. There are strong parallels between the study of these orbits and extractors, as well as connections to the sum-product phenomenon. Much of my talk will be based on joint work with M. Einsiedler, P. Michel and A. Venkatesh.