| Grant number: | 14/04321-9 |
| Support Opportunities: | Scholarships in Brazil - Master |
| Start date: | May 01, 2014 |
| End date: | February 29, 2016 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Applied Mathematics |
| Principal Investigator: | Roberto de Almeida Prado |
| Grantee: | Vinícius Lourenço da Rocha |
| Host Institution: | Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil |
Abstract In this project will study dynamical bounds for one-dimensional discrete Schrödinger operators with Sturmian potentials. Using a method developed by Damanik and Tcheremchantsev, we will present a non trivial dynamical upper bound to the above operators associated with a large set of irrational numbers. Also we will exhibit a irrational number for which the corresponding Sturmian operator has ballistic transport. Moreover, we will present a global lower bound for the upper fractal dimension of the spectrum and this is used to obtain a dynamic lower bound for such operators associated with bounded density irrational numbers. | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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