Limit theorems for random processes and graphs

• Grant number: 22/01289-3
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: November 08, 2022
• End date: May 07, 2023
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Anatoli Iambartsev
• Grantee: Anatoli Iambartsev
• Visiting researcher: Logachev Artem
• Visiting researcher institution: Siberian Branch of the Russian Academy of Sciences (SB RAS), Russia
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 17/10555-0 - Stochastic modeling of interacting systems, AP.TEM

Abstract

Limit theorems of large (and moderate) deviations are the main goal of the project. The project consists of (1) moderate deviations for random walks in a random environment, (2) large deviations for processes with catastrophes, and (3) limit theorems for weighted random graphs. (AU)