Multifractal spectra of Birkhoff averages for a piecewise monotone interval map

@article{FranzHofbauer2010,
abstract = {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.},
author = {Franz Hofbauer},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {2},
pages = {95-121},
title = {Multifractal spectra of Birkhoff averages for a piecewise monotone interval map},
url = {http://eudml.org/doc/282889},
volume = {208},
year = {2010},
}

TY - JOUR
AU - Franz Hofbauer
TI - Multifractal spectra of Birkhoff averages for a piecewise monotone interval map
JO - Fundamenta Mathematicae
PY - 2010
VL - 208
IS - 2
SP - 95
EP - 121
AB - 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.
LA - eng
UR - http://eudml.org/doc/282889
ER -