Multifractal Analysis of Hyperbolic Flows

Springer Science and Business Media LLC - Tập 214 - Trang 339-371 - 2000
L. Barreira1, B. Saussol1
1Departamento de Matemática, Instituto Superior Técnico, 1049-001 Lisboa, Portugal.¶E-mail: barreira@math.ist.utl.pt; saussol@math.ist.utl.pt, , PT

Tóm tắt

We establish the multifractal analysis of hyperbolic flows and of suspension flows over subshifts of finite type. A non-trivial consequence of our results is that for every Hölder continuous function non-cohomologous to a constant, the set of points without Birkhoff average has full topological entropy.