Simple Person's Applied Math Seminar

Thursday, October 03, 2019 at 6:00pm to 7:00pm

Room : 2 - 132 182 memorial Drive, Cambridge, MA, 02142

Featured Speaker :  Aaron Berger (MIT Math)

Title :  Probabilistic Zero Forcing

Abstract

Probabilistic zero forcing is a random coloring process on a graph designed to provide a simplified model of systems that spread across a network, such as the spread of infection in a population or the sharing of rumors in a community. The process begins with some subset of the vertices colored blue, and at each step each blue vertex forces some of its uncolored neighbors to become blue, with prescribed probabilities. The process terminates when every vertex is colored blue. It is a well-studied problem to minimize the expected propagation time, i.e., the expected time for all vertices to be colored blue, given some arbitrary connected graph and the choice of a single starting vertex colored blue. I'll discuss some interesting and counter-intuitive properties of this process, as well as some recent upper bounds which present a slick application of the optional stopping theorem from the theory of martingales.

Event Type

Conferences/Seminars/Lectures

Events By Interest

Academic

Events By Audience

MIT Community

Events By School

School of Science

Tags

aldixon

Website

https://math.mit.edu/seminars/spams/

Department
Department of Mathematics
Contact Email

aldixon@mit.edu

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