Extending the theory of weak convergence for coalescence processes

• Grant number: 16/19286-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: January 25, 2017
• End date: March 11, 2017
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Anatoli Iambartsev
• Grantee: Anatoli Iambartsev
• Visiting researcher: Yevgeniy Kovchegov
• Visiting researcher institution: Oregon State University (OSU), United States
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

We will work on extending the theory of density dependent population processes in order to prove convergence to the hydrodynamic limit, the Smoluchowski's coagulation equations, of Marcus-Lushnikov processes corresponding toa large class of stochastic coalescent processes. Three lecture series of seminar talks will be given by Prof.Kovchegov covering the most recent results in the field of combinatorial stochastic processes. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

KOVCHEGOV, YEVGENIY; OTTO, PETER T.; YAMBARTSEV, ANATOLY. Cross-multiplicative coalescent processes and applications. ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, v. 18, n. 1, p. 81-106, 2021. (16/19286-0)