Tel Aviv University Dear all, This (next) week at the Horowitz seminar on Probability, Ergodic Theory and Dynamical Systems at Tel Aviv University we are happy to have: Speaker: Mike Hochman, The Hebrew University of Jerusalem Title: Equidistribution from fractals Date: Monday, December 5 Time: 14:30 Place: Schreiber 309 Abstract: By a classical result of Cassels and W. Schmidt, the standard middle-third Cantor sets contains normal numbers in any base which is not a power of 3 (a number is normal in base n if it equidistributes under the times-n mod 1 map). There are many extensions of this problem, e.g. Host's theorem about more general times-3 invariant measures, and results of Kauffman showing that there are many numbers with partial bounded quotients which are normal in every base. I will discuss a new geometric/dynamical method with which one can prove results of this kind. The method has many advantages over the analytical approach which is usually used, for example it is robust when the target set is smoothly perturbed. I will also describe applications to some of the open problems in the field. This is joint work with Pablo Shmerkin. Best regards, Ron Seminar webpage: <http://www.math.tau.ac.il/~peledron/Horowitz_seminar/Horowitz_seminar.html> --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Ron Peled <peledron@gmail.com>