Uniform Spectral Properties for Schrodinger Operators with Sturmian Potentials

• Grant number: 12/05631-6
• Support Opportunities: Scholarships in Brazil - Master
• Start date: June 01, 2012
• End date: February 28, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Roberto de Almeida Prado
• Grantee: Mariane Pigossi
• 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 uniform spectral properties of discrete one-dimensional Schrödinger operators with Sturmian potentials. Using some works of literature, will demonstrate that these operators have purely singular continuous spectrum, supported on a set with zero Lebesgue measure.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

PIGOSSI, Mariane. . 2014. Master's Dissertation - Universidade Estadual Paulista (Unesp). Faculdade de Ciências e Tecnologia. Presidente Prudente Presidente Prudente.