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Random walks and other stochastic systems on graphs

Grant number: 14/06815-9
Support type:Scholarships abroad - Research
Effective date (Start): July 03, 2014
Effective date (End): October 14, 2014
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics
Principal Investigator:Serguei Popov
Grantee:Serguei Popov
Host: Francis Comets
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Local de pesquisa : 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. Web of Science Citations: 3.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.