Tel Aviv University 
 
Dear all,
 
This week at the Horowitz seminar on Probability, Ergodic Theory and
Dynamical Systems at Tel Aviv University we are happy to have:
 
Speaker:Zemer Kosloff, Tel Aviv University
Title: Power Weakly Mixing Transformations
 
Date: Monday, April 2
Time: 14:30
Place: Schreiber 309
 
Abstract:
It follows from Furstenberg's proof of the multiple recurrence
theorem that a weakly mixing, invertible,
probability preserving transformation T : (X; P) -> (X; P) satisfi es
that for any non-zero integers n_1,..., n_k,
T^{n_1} x T^{n_2} x ... x T^{n_k}
is an ergodic measure preserving transformation of X^k. A
transformation satisfying the latter property is
called "power weakly mixing". We will survey some history around this
property in the non probability
preserving case and show constructions of a power weakly mixing, infi
nite measure preserving Markovian
R- flows and a power weakly mixing non singular Bernoulli shift
without an invariant P-equivalent sigma-finite measure.
 
See the printed abstract at:
 <http://www.math.tau.ac.il/~peledron/Horowitz_seminar/Kosloff_abstract.pdf>
 
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>