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Limit distribution for diffusion technology models

Grant number: 10/11338-4
Support type:Scholarships abroad - Research
Effective date (Start): October 18, 2010
Effective date (End): November 18, 2010
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics - Probability
Principal Investigator:Cristian Favio Coletti
Grantee:Cristian Favio Coletti
Host: Rahul Roy
Home Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
Research place: Indian Statistical Institute, Kolkata (ISI), India  

Abstract

On this work we focus on the limit distribution of a discrete time interacting particle system with state space $F^S$ where $F$ is a finite set, $S$ is a set of vertices of some graph. An infinite number of changes are allowd at the same time. This model can be seen as a diffusion technology model where a technology is better than other and the agents (particles) try to copy the better technology among his neighbours. (AU)