Fleming Lecture Series
Professor Bela Bollobas
Jabie Hardin Chair of Excellence in Combinatorics, University of Memphis Fellow of Trinity College, Cambridge


April 9th and 10th, 2015
Pearce Hall 128
An informal reception will follow each lecture in Pearce 135



April 9, 2015 at 4:00pm

Lecture 1. Bootstrap Percolation

Professor Bollobas will present some basic facts about bootstrap percolation.  He will go on to describe some important theorems proved by Aizenman, Lebowitz, Cerf, Manzo, Cirillo and Holroyd, culminating in some substantial results he has proved with Balogh, Duminil-Copin and Morris.

April 10, 2015 at 4:00pm​

Lecture 2. Universality for Monotone Cellular Automata

Recently, with Smith and Uzzell, Dr. Bollobas initiated the study of a far-reaching generalization of bootstrap percolation on lattices and lattice-like finite graphs.  The only assumptions made about such a process is that it is local, homogeneous and monotone.  Surprisingly, much can be proved about these very general processes; in particular, they can be classified into three classes, telling us much about the critical probability.  In two dimensions such a classification was given by Smith, Uzzell, Balister, Przykucki and Dr. Bollobas.  Very recently, Duminil-Coplin, Morris, Smith and Dr. Bollobas have gone much further: they have proved fairly precise results about the process in all dimensions, indicating that a rich theory of "universality theory' is waiting to be discovered.

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CMU Professor Emeritus Richard Fleming founded The Fleming​ Lecture Series upon his retirement in 2007.  The objective of the series is to bring speakers to CMU to present lectures on topics of general interest in mathematics or lectures of special interest to mathematics students and faculty.