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
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,
Seminar webpage:
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <> 
Announcement from: Ron Peled   <>