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01/24/05 Colloquium
Dr. Jozsef Balogh
Department of Mathematics
Ohio State University
Department of Mathematics
Ohio State University
Threshold Growth Cellular Automata: Bootstrap Percolation
Abstract: Cellular automata were introduced by von Neumann after a suggestion of Ulam. A very popular cellular automaton is Conway's 'Game of Life'. Bootstrap percolation, a deterministic threshold growth model of cellular automata with random initial condition, was introduced by statistical physicists in the early 1980s. In this talk I shall briefly survey the history of bootstrap percolation, and then present some recent results from a number of papers written jointly with B. Bollobas, Y. Peres and G. Pete.Dr. Balogh received the Ph.D. in Mathematics from the Univeristy of Memphis in May, 2001 under the direction of Professor Bela Bollobas. He is presently a Zassenhaus Assistant Professor in the Mathematics Department at Ohio State University.
