Dynamical Systems Seminar

Title: Counting polynomial configurations in dense subsets of the integers.
Speaker: Nikos Frantzikinakis
Speaker Info: Penn State University
Brief Description:
Special Note:

Bergelson and Leibman proved that if p_1,...,p_k are integer polynomials with zero constant term, then any dense subset of the integers contains configurations of the form x,x+p_1(n),...x+p_k(n). We show that for "generic" (linearly independent) polynomials p_1,...,p_k, any dense subset S of the integers contains "many" such configurations, at least as many as when S is a random integer subset with the same density. This is joint work with Bryna Kra.
Date: Tuesday, May 24, 2005
Time: 3:00pm
Where: Lunt 105
Contact Person: Prof. Bryna Kra
Contact email: kra@math.northwestern.edu
Contact Phone: 847-491-1874
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