Rudolph's theorem on the Furstenberg conjecture
Joachim Cuntz (University of Muenster)
Tuesday 5th March, 2013 16:00-17:00 Maths 203
Rudolph's theorem states: Let p and q be two natural numbers which are relatively prime.
Assume that $ \mu $ is a measure on the unit interval which is invariant and ergodic for the
two transformations given by multiplication by p and q mod 1. If $ \mu $ is not Lebesgue measure, then both transformations have entropy 0 with respect to $ \mu $. We try to sketch
a proof of this theorem.