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Contributions to linear dynamics, sweeping process and regularity of Lipschitz functions
(Universidad de Chile, 2021)
This thesis deals with three topics related to linear operators defined on infinite dimensional spaces and two topics of real analysis and variational analysis in finite dimensional spaces.
The first chapter contains ...
Dinâmica topológica do operador deslocamento com pesos
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2020-04-20)
In the present work, we will do a study of linear dynamics of operators, focusing mainly on
the concepts of topological transitivity, hypercyclicity and chaoticity. At rst, we will deal
with non-linear dynamical systems ...