Application of lyapunov function method for interacting particle systems and markov processes in random environment.

• Grant number: 97/12826-6
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 1998
• End date: February 18, 2001
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Serguei Popov
• Grantee: Serguei Popov
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

We shall apply Lyapunov function method to study problems of recurrence-transience and speed of convergence to stationary measures in models from the fields of Interacting particle systems, countable Markov chains, branching random walk and stochastic processes in random environment. (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)

MENSHIKOV‚ MV; POPOV‚ S.Y.; VACHKOVSKAIA‚ M.. Multiscale percolation on k-symmetric mosaic. Statistics & Probability Letters, v. 52, n. 1, p. 79-84, 2001. (97/12826-6, 99/12304-5)