| Grant number: | 15/07712-1 |
| Support type: | Research Grants - Visiting Researcher Grant - International |
| Duration: | July 24, 2015 - September 12, 2015 |
| Field of knowledge: | Physical Sciences and Mathematics - Probability and Statistics - Probability |
| Principal Investigator: | Anatoli Iambartsev |
| Grantee: | Anatoli Iambartsev |
| Visiting researcher: | Vadim Shcherbakov |
| Visiting researcher institution: | Lomonosov Moscow State University (MSU), Russia |
| Home Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
Abstract
In this project we plan to study an asymptotic behaviour and stationary distributions of Markov chains describing a system of locally interacting non-negative spins. This class of Markov chains is closely related to interacting particle systems and Gibbs modelswith non-negative spins. Invariant distributions of Markov chains form a special class of Gibbs measures on graphs and are of interest on their own. (AU)