Sets of bounded discrepancy for multi-dimensional irrational rotation

Seminar
Speaker
Dr. Nir Lev, Bar-Ilan University
Date
22/12/2014 - 15:00 - 14:00Add to Calendar 2014-12-22 14:00:00 2014-12-22 15:00:00 Sets of bounded discrepancy for multi-dimensional irrational rotation Hecke, Ostrowski and Kesten characterized the intervals on the circle for which the ergodic sums of their indicator function, under an irrational rotation, stay at a bounded distance from their integral with respect to the Lebesgue measure on the circle. In this talk I will discuss this phenomenon in multi-dimensional setting. Based on joint work with Sigrid Grepstad. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

Hecke, Ostrowski and Kesten characterized the intervals on the circle
for which the ergodic sums of their indicator function, under an
irrational rotation, stay at a bounded distance from their integral
with respect to the Lebesgue measure on the circle.
In this talk I will discuss this phenomenon in multi-dimensional setting.
Based on joint work with Sigrid Grepstad.

Last Updated Date : 16/12/2014