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Random interlacements and the soft local times technique

Grant number: 13/00855-6
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): March 01, 2013
Effective date (End): December 31, 2013
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics
Principal Investigator:Serguei Popov
Grantee:Darcy Gabriel Augusto de Camargo Cunha
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated research grant:09/52379-8 - Stochastic modeling of interacting systems, AP.TEM

Abstract

The random interlacements process was first presented by Alain-Sol Sznitman in a article of the Annals of Mathematics in 2010. In a heuristic way, we can say that the process describes the behavior of a random Z^d subset formed by random walk trajectories generated in Z^d in a stationary way. This work focus its in the study of the articles developed in the recent years, mainly focusing in the new technique developed by Serguei Popov and Augusto Teixeira called Soft Local Times. By using such technique, we intent to develop new theorems about the random interlacements process and the percolation proprieties of this subset.