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Entropy in dynamical systems and information theory

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


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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