Static Large Deviations For A Reaction Diffusion Model

Acronym

P_SLD-RD

Consortium Coordinator

Farfan Vargas, Jonathan Samuel

Start Date

March 1, 2016

End Date

February 28, 2017

Status

https://purl.org/pe-repo/concytec/estadoProyecto#concluido

Tipo de proyecto

https://purl.org/pe-repo/ocde/tipoProyecto#investigacionBasica

Description

The present Project proposes the study of the large deviation regime in a class of interacting particle systems. More precisely, we consider processes which are the superposition of two dynamics: the symmetric simple exclusion process (Kawasaki) and a spin-flip process (Glauber). Inspired in the Freidlin and Wentzell theory, the main objective of this project is to stablish a large deviation principle for the stationary measure of such processes with rate function associated to the quasi-potential of the dynamical large deviation rate function.

Keywords

Grandes desviaciones

;

Reacción-difusión

;

Procesos estocásticos

;

Modelamiento matemático

Área de conocimiento

Natural sciences

Campo OCDE

https://purl.org/pe-repo/ocde/ford#1.01.03