Geodesic
Multifractal spectra of Birkhoff averages for a piecewise monotone interval map
Franz Hofbauer1
1 Institut für Mathematik Universität Wien Nordbergstrasse 15 1090 Wien, Austria
Fundamenta Mathematicae, Tome 208 (2010) no. 2, pp. 95-121 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm208-2-1
Keywords: study entropy spectrum birkhoff averages dimension spectrum lyapunov exponents piecewise monotone transformations interval general these transformations have finite markov partitions satisfy specification property characterize these multifractal spectra terms legendre transform suitably defined pressure function

Franz Hofbauer 1

1 Institut für Mathematik Universität Wien Nordbergstrasse 15 1090 Wien, Austria 
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Franz Hofbauer. Multifractal spectra of Birkhoff averages
 for a piecewise monotone interval map. Fundamenta Mathematicae, Tome 208 (2010) no. 2, pp. 95-121. doi: 10.4064/fm208-2-1

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