Stochastic equations for continuum particle systems

• Grant number: 18/08605-2
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Duration: June 24, 2018 - July 07, 2018
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Nancy Lopes Garcia
• Grantee: Nancy Lopes Garcia
• Visiting researcher: Thomas G. Kurtz
• Visiting researcher institution: University of Wisconsin-Madison (UW-Madison), United States
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 17/10555-0 - Stochastic modeling of interacting systems, AP.TEM

Abstract

Infinite systems such as birth and death processes can be obtained as solutions of stochastic equations driven by Poisson processes. We search for conditions under which there is existence and uniqueness of such solutions. (AU)