### kl 14.45-15.45, Daniel Schnellmann (KTH): Almost Sure Equidistribution in Expansive Families

Abstract. We give a geometric proof of a result of Koksma about equidistributed sequences of real numbers in $[0,1)$. Koksma considered especially the sequence $\theta^j \mod 1$, $j\geq1$, and proved that it is equidistributed for Lebesgue almost every $\theta>1$. The advantage of the method presented in the talk is that it can be generalized to higher dimensions. (Joint work with M. Bjorklund.)