The next Seminar in Probability and Stochastic Processes will be held on May 11, 2010 There will be two talks. FIRST TALK by Reuven Rubinstein-Announced separately. ________________________________________________________________________________ SECOND TALK. Speaker: Rob Morris from TAU and IMPA Title: Bootstrap percolation and the Ising model Time and place: at 12:30 in Hashmal-861 Abstract: In Glauber dynamics on a graph G, each site has a 'spin' (either + or -) which updates (at random times) according to the states of its neighbours. At zero temperature the update rule is deterministic, and sites change to agree with the majority. Starting from a Bernoulli distribution with density p, one can ask whether (and to what) the configuration converges as time goes to infinity. On the lattice Z^d, it is a folklore conjecture that if p > 1/2 then the system fixates at +, i.e., every site fluctuates only a finite number of times (and ends up +). In this talk I shall show how to prove an asymptotic version of this conjecture, as d \to \infty. The main tool in the proof was developed in order to study bootstrap percolation (a monotone version of Glauber dynamics) on the hypercube, and other 'tree-like' regular graphs. ________________________________________________________________________________ You can watch the rest of the seminar plan at our web site ________________________________________________________________________________ ******* NOTE: THERE WILL BE TWO TALKS ***************** Probability at the Technion: <http://probability.technion.ac.il> --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: <rami@.technion.ac.il>