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Estimativas de magnitudes da dinâmica quântica envolvendo dimensões de Hausdorff e de empacotamento
(Universidade Federal de São Carlos, 2014-03-21)
In this work we approach the nonrelativistic quantum mechanics from the point of view of mathematical physics; we present estimates of some dynamical quantities that are used to describe the return probability to the initial ...
Graduações e identidades polinomiais graduadas para a álgebra de matrizes triangulares superiores
(Universidade Federal de São Carlos, 2020-12-03)
Let F be a field and let G be a group. Denote by UTn(F) the algebra of n × n upper triangular matrices over F.
The mathematicians Valenti and Zaicev described all G-gradings on UTn(F), and the mathematicians Di Vincenzo, ...
Estabilidade de Standing waves
(Universidade Federal de São Carlos, 2014-03-13)
This work is concerned with the orbital stability of special solutions called "standing waves" for Hamiltonian systems in a real and invariant Hilbert space under the action of a specific group of isometries in such space. ...
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 ...