EVENT DETAILS AND ABSTRACT

Title: Recurrence along generalized polynomials in ergodic theory
Speaker: Professor Inger J. H. Knutson
Speaker Info: University of Agder
Brief Description:
Special Note:
Abstract:

A generalized polynomial is a real-valued function which is obtained from the conventional polynomials by use of the operations of addition, multiplication, and taking the greatest integer part. Generalized polynomials show up naturally in ergodic theory. In particular, there are strong relations between bounded generalized polynomials and translations on nilmanifolds (recently established by Bergelson and Leibman). In this talk I will present some results concerning uniform distribution and recurrence along generalized polynomial sequences.