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Dinâmica topológica do operador deslocamento com pesos
(Universidade Federal de 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 ...
Aplicações singulares via grupos de reflexões
(Universidade Federal de São Carlos, 2020-04-24)
Our objective with this essay is to describe a way to build germs of applications A-finite f:(\C^{n},0) \rightarrow (\C^{p},0) for p=2n and p=2n-1. In the case p<2n-1, we conclude that there is no germ of reflection ...
Extensões auto-adjuntas do operador de Schrödinger magnético em domínios com pouca regularidade
(Universidade Federal de São Carlos, 2020-02-20)
We find one parametrization of all self-adjoint extensions of the magnetic Schrödinger
operator, in a quasi-convex domain with compact boundary, and magnetic potentials
with low regularity. In this parametrization we use ...