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>