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. Propriedades espectrais uniformes para operadores de Schrödinger com potenciais Sturmianos. 2014. Master's Dissertation - Universidade Estadual Paulista (Unesp). Faculdade de Ciências e Tecnologia. Presidente Prudente Presidente Prudente.