Random walks and other stochastic systems on graphs

• Grant number: 14/06815-9
• Support Opportunities: Scholarships abroad - Research
• Start date: July 03, 2014
• End date: October 14, 2014
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Serguei Popov
• Grantee: Serguei Popov
• Host Investigator: Francis Comets
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Université Paris Diderot - Paris 7, France
• Associated research grant: 09/52379-8 - Stochastic modeling of interacting systems, AP.TEM

Abstract

We plan to study random walk and other random systems on graphs. The first model we consider is a random walk on discrete torus, where we intend to study the cover time, i.e., the moment when all the sites as visited at least once. We are interested also in random walks that interact with the mass center of the trajectory, as well as in the asymptotic behavior of the mass center itself. We intend also to study decoupling inequalities for Gaussian free fields. (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)

COMETS, FRANCIS; POPOV, SERGUEI; VACHKOVSKAIA, MARINA. Two-Dimensional Random Interlacements and Late Points for Random Walks. Communications in Mathematical Physics, v. 343, n. 1, p. 129-164, APR 2016. (14/06815-9, 14/06998-6, 09/52379-8)