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On the method of bounded differences and a natural infection process in a random geometric environment

Author
Diaz, J.
Type of activity
Presentation of work at congresses
Name of edition
Probabilistic Combinatorics
Date of publication
2016
Presentation's date
2016-04-08
Book of congress proceedings
Probabilistic Combinatorics: A celebration of the work of Colin McDiarmid. Programme
First page
4
Last page
4
Abstract
Consider the following geometric infection model: Individuals are randomly placed points according to a Poisson point process in some appropriate metric space. Each individual has two states, infected or healthy. Any infected individual passes the infection to any other at distance d according to a Poisson process, whose rate is a function f(d) of d that decays as d increases. Any infected individual heals at rate 1. An epidemic is said to occur when, starting from one infected individual placed...
Group of research
ALBCOM - Algorithms, Computational Biology, Complexity and Formal Methods

Participants