| Grant number: | 20/04426-6 |
| Support Opportunities: | Research Projects - Thematic Grants |
| Start date: | November 01, 2020 |
| End date: | October 31, 2025 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Paulo Regis Caron Ruffino |
| Grantee: | Paulo Regis Caron Ruffino |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
| Pesquisadores principais: | Pedro Jose Catuogno |
| Associated researchers: | Christian da Silva Rodrigues ; Christian Horacio Olivera ; Diego Sebastian Ledesma |
| Associated scholarship(s): | 24/21223-2 - Geometric and Dynamical aspects of Rough Path Theory with jumps.,
BP.DR 24/09988-3 - Stochastic inhomogeneous Euler equations, BP.PD 24/06348-3 - Mean filed limit for partial diferential equations with rough noise, BP.DD + associated scholarships - associated scholarships |
Abstract
Our research group in Mathematics Department -- UNICAMP focus on the study of intertwined properties of stochastic analysis, geometry and dynamical systems, mainly concerning the theory of continuous time semimartingales (e.g., Brownian motion), and more recently including jumps (e.g., Lévy processes). This project, which connects researchers who use common techniques on probability and ergodic theory is centred on the following items: stochastic dynamics on manifolds (bifurcation of Markov processes via $n$-point processes), properties of certain SPDEs, rough path theory, diffusions on foliated spaces, decomposition of stochastic flows (and its applications in dynamics and geometry of associated bundles), dynamics of measures. The project is guided mainly by the following actions: i) support the orientation of masters and PhDs/researchers; ii) improve further the national and international scientific connections, with a continuous flow of top researchers coming to visit the group, or members of the group going to congresses, visiting collaborators and centres of top reputation in the area. (AU)
| Articles published in Agência FAPESP Newsletter about the research grant: |
| More itemsLess items |
| TITULO |
| Articles published in other media outlets ( ): |
| More itemsLess items |
| VEICULO: TITULO (DATA) |
| VEICULO: TITULO (DATA) |