Probability and Stochastic Analysis Seminar   RSS

05/05/2021, 17:00 — 18:00 — Online
, University of Leiden

Sharp thresholds for Glauber dynamics percolation

Sharp threshold is a phenomena that characterizes abrupt change of behavior in a phase transition. In this talk, we prove that the two-dimensional model obtained by running Glauber dynamics up to some finite time yields a percolation model that presents a sharp threshold. The proof is based on special properties of a graphical construction of the model that allows us to pass from annealed to quenched measurements. Based on a joint work with C. Alves, G. Amir, and A. Teixeira.