Limit distribution for diffusion technology models

• Grant number: 10/11338-4
• Support Opportunities: Scholarships abroad - Research
• Start date: October 18, 2010
• End date: November 18, 2010
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Cristian Favio Coletti
• Grantee: Cristian Favio Coletti
• Host Investigator: Rahul Roy
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Santo André , SP, Brazil
• Institution abroad: 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)