| 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) | |