Colloquium: Tuesday, November 6, 2018. Speaker: Nir Lev (Bar Ilan). Title: “Sets of bounded discrepancy for multi-dimensional irrational rotation”.
Many of us are familiar with the classical fact that the orbit of an irrational rotation of the circle is equidistributed, meaning that the fraction of time spent in any given arc is asymptotically equal to the length of the arc.
It was however discovered that there exist special arcs for which a much stronger equidistribution result is in fact true. There is a characterization of these arcs which is due to Hecke and Kesten.
In this talk I will discuss the Hecke-Kesten phenomenon in the multi-dimensional setting. This is joint work with Sigrid Grepstad.
Tea will be served before the talk (at 13:50).