Self-similarity and the transition from finite to infinite measures in dynamical s...
Stochastic chains with unbounded memory and application in neuroscience
Geometry and probability in dynamical systems: fundamentals and applications
| Grant number: | 17/20482-0 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| Duration: | April 23, 2018 - October 22, 2018 |
| Field of knowledge: | Physical Sciences and Mathematics - Probability and Statistics - Probability |
| Principal Investigator: | Anatoli Iambartsev |
| Grantee: | Anatoli Iambartsev |
| Visiting researcher: | Logachev Artem |
| Visiting researcher institution: | Siberian Branch of the Russian Academy of Sciences (SB RAS), Russia |
| Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| Associated research grant: | 17/10555-0 - Stochastic modeling of interacting systems, AP.TEM |
Abstract
The project originated from our joint work on the large deviations for the famous birth-death processes. Some generalizations of the obtained results is one of the goals of this project. We also want to understand how the form of the rate function changes depending on an asymptotic behavior of intensities of the process. Recent works and discussions about large deviations for Markov processes lead us to an ideia to include and develop in the project an alternative, to the Feng & Kurtz large deviation program, and more simple way of proving the large deviations for Markov processes and functionals of them. (AU)
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