============================================================ Seminário de Teoria da Computação e Combinatória (TCC) Manhã de Combinatória Extremal e Métodos Probabilísticos ============================================================ Título: The time of bootstrap percolation Palestrante: Paul James Smith Instituto de Matemática Pura e Aplicada Hora e Data: 09h45m, quarta-feira, 31 de outubro de 2012 Local: Sala Multi-usos do Numec Resumo: Bootstrap percolation is a type of dynamical system with roots in statistical physics, but which is now firmly established as an area of probabilistic combinatorics. A great deal of very precise results are now known about the phase transition between no percolation w.h.p. and percolation w.h.p. Until recently, however, very little was known about how long the percolation process takes. We discuss a number of recent advances in this area. This is joint work with Paul Balister, Béla Bollobás, Cecilia Holmgren and Andrew Uzzell.