Lyapunov spectrum for geodesic flows of rank 1 surfaces

Keith Burns, Katrin Gelfert

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We give estimates on the Hausdoff dimension of the levels sets of the Lyapunov exponent for the geodesic flow of a compact rank 1 surface. We show that the level sets of points with small (but non-zero) exponents has full Hausdorff dimension, but carries small topological entropy.

Original languageEnglish (US)
Pages (from-to)1841-1872
Number of pages32
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume34
Issue number5
DOIs
StatePublished - May 1 2014

Keywords

  • Entropy
  • Geodesic flow
  • Hausdorff dimension
  • Lyapunov exponents
  • Multifractal formalism
  • Pressure
  • Rank 1 surfaces
  • Shadowing

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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