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Durham University

Department of Mathematical Sciences

Seminars

This week's seminars

Statistics Seminars: Reaction-Diffusion models on an infinite graph

Presented by Conrado Da-Costa, Durham University

17 February 2020 13:00 in CM107

Reaction-Diffusion (RD) models are Interacting Particle systems that allow for birth death and jump of particles on a graph.
In this talk I will present a construction of RD models on an infinite (countable) graph.
From the basic construction we will move to the study of the fluid limit of a family of such processes.
As the limit differential equation is not linear, the usual proof of uniqueness of solutions is not available.
I would like to conclude by explaining the coupling estimates that allow for the proof of convergence of the family of RD models.
This is a work in progress with Bernardo da Costa (UFRJ-BR) and Daniel Valesin (UGroningen-NL).

Contact ellen.g.powell@durham.ac.uk for more information