Multifractal spectra of Birkhoff averages for a piecewise monotone interval map

• Autorzy: Franz Hofbauer
• Języki publikacji: EN

Abstrakty

EN

We study the entropy spectrum of Birkhoff averages and the dimension spectrum of Lyapunov exponents for piecewise monotone transformations on the interval. In general, these transformations do not have finite Markov partitions and do not satisfy the specification property. We characterize these multifractal spectra in terms of the Legendre transform of a suitably defined pressure function.

Kategorie tematyczne

• 37B40: Topological entropy
• 37D35: Thermodynamic formalism, variational principles, equilibrium states
• 37E05: Maps of the interval (piecewise continuous, continuous, smooth)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2010
• Tom: 208
• Numer: 2
• Strony: 95-121

Daty

wydano

2010

Twórcy

autor

Franz Hofbauer

• Institut für Mathematik, Universität Wien, Nordbergstrasse 15, 1090 Wien, Austria

Identyfikatory

DOI

10.4064/fm208-2-1