Sets of bounded discrepancy for multi-dimensional irrational rotation

Mon, 22/12/2014 - 14:00
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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.