Wenziang Sun | Beijing University School of Mathematical Sciences - China

• Grant number: 06/07088-7
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: April 26, 2007
• End date: June 28, 2007
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Edson Vargas
• Grantee: Edson Vargas
• Visiting researcher: Wenziang Sun
• Visiting researcher institution: Peking University (PKU), China
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Our maim goal is the study of dynamical aspects of C1 non-uniform hyperbolic vector fields in dimension 3. A well known example due to Katok obtained from an Anosov vector field is a source of inspiration but a general theory is necessary and shall contain interesting facts. The low differentiability is one of the main difficulties to be overcomed. (AU)