Probabilistic and algebraic aspects of smooth dynamical systems
Nonlinear dynamic functional connectivity analysis via recurrence quantification a...
| Grant number: | 22/15044-2 |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
| Effective date (Start): | January 01, 2023 |
| Effective date (End): | December 31, 2023 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Ali Tahzibi |
| Grantee: | Gabriel Lube Lima |
| 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 In this project, we study the notion of metric entropy for dynamical systems preserving a probability measure and also the relations to information theory. This notion of entropy was introduced by C. Shannon in information theory and later by Kolmogorov and Sinai into the area of dynamical systems. We also study the twenty question which can be considered as a search algorithm in computation science and add the possibility of some errors in the process. | |
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