| Grant number: | 22/10341-9 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| Effective date (Start): | September 01, 2022 |
| Effective date (End): | September 05, 2024 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Ali Tahzibi |
| Grantee: | Graccyela Rosybell Salcedo Pirela |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Associated research grant: | 17/06463-3 - Probabilistic and algebraic aspects of smooth dynamical systems, AP.TEM |
Abstract As with any dynamical system, we are interested in knowing the asymptotic behavior of individual orbits. Our objective is to describe and classify the distribution of random orbits with respect to an IFS. By fixing an interesting distribution (eg Gibss measure) at the base, we want to establish a principle of invariance for IFSs. The idea is to consider a distribution in the base different from Bernoulli, that is, that the process of choosing maps at each time is not independent and equally distributed. In case we have this Invariance Principle, we could establish the existence and uniqueness of the stationary measure, which would imply stability in the distribution of random orbits. (AU) | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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