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: Boris Solomyak, University of Washington Title: Tiling dynamical systems with an infinite invariant measure Date: Monday, May 30 Time: 14:30 Place: Schreiber 309 Abstract: We investigate non-primitive, non-minimal tiling substitutions in R^d, and characterize all "natural" invariant measures for the corresponding dynamical systems. In many cases, such an invariant measure is unique in some sense, and it is infinite (but sigma-finite). The first such example, in 1 dimension ("integer Cantor set") was considered by Alby Fisher. Our examples include the "Sierpinski gasket" and "Sierpinski carpet" tilings in the plane. (Joint work with Maria Isabel Cortez.) 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>