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: Ron Rosenthal, The Hebrew University of Jerusalem Title: Random walks, spectrum and homology of complexes Date: Monday, November 26 Time: 14:30 Place: Schreiber 309 Abstract: There are well known connections between the random walk on a graph, and its topological and spectral properties. Here we define a stochastic process on higher dimensional simplicial complexes, which reflects their homological and spectral properties in a parallel way. This leads to high dimensional analogues (not all of which hold!) of classical theorems of Kesten, Alon-Boppana, and others. No previous knowledge is assumed. Joint work with Ori Parzanchevski. 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@post.tau.ac.il>