Dynamical Systems Seminar

Title: Sumsets with one dense summand
Speaker: John Griesmer
Speaker Info: Ohio state University
Brief Description:
Special Note:

When A and B are subsets of an abelian group, the sumset A+B := {a+b| a in A, b in B} tends to be highly structured. A classical example is the Steinhaus lemma, which says that when A and B are sets of reals having positive Lebesgue measure, then A+B contains an interval. We will survey some analogous results for sets of integers and see a strong connection to ergodic theory. This will lead to some classical and (perhaps) new questions about recurrence and ergodic averages.
Date: Tuesday, February 07, 2012
Time: 4:00PM
Where: Lunt 105
Contact Person: Prof. Bryna Kra
Contact email: kra@math.northwestern.edu
Contact Phone: 847-491-5567
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