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Dynamics, operators and ergodicity

Grant number: 17/22588-0
Support type:Research Grants - Visiting Researcher Grant - Brazil
Duration: March 01, 2018 - February 28, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Ali Messaoudi
Grantee:Ali Messaoudi
Visiting researcher: Nilson da Costa Bernardes Junior
Visiting researcher institution: Universidade Federal do Rio de Janeiro (UFRJ). Instituto de Matemática (IM), Brazil
Home Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
Associated research grant:13/24541-0 - Ergodic and qualitative theory of dynamical systems, AP.TEM


In this work, we aim to study various problems related with Dynamical systems theory, Operator theory, ergodic theory and probability.Precisely, we will study the following topics:1. Expansivity, shadowing, structural stability and ergodicity in linear dynamical systems.2. Differents types of caos in linear dynamics.3. Dynamical properties of infinite matrices and connection with Markov chains. (AU)