Multifractal dimensions for invariant subsets of piecewise monotonic interval maps

Franz Hofbauer, Peter Raith, and Thomas Steinberger. "Multifractal dimensions for invariant subsets of piecewise monotonic interval maps." Fundamenta Mathematicae 176.3 (2003): 209-232. <http://eudml.org/doc/282917>.

@article{FranzHofbauer2003,
abstract = {The multifractal generalizations of Hausdorff dimension and packing dimension are investigated for an invariant subset A of a piecewise monotonic map on the interval. Formulae for the multifractal dimension of an ergodic invariant measure, the essential multifractal dimension of A, and the multifractal Hausdorff dimension of A are derived.},
author = {Franz Hofbauer, Peter Raith, Thomas Steinberger},
journal = {Fundamenta Mathematicae},
keywords = {multifractal dimension; piecewise monotonic map; invariant set; ergodic measure},
language = {eng},
number = {3},
pages = {209-232},
title = {Multifractal dimensions for invariant subsets of piecewise monotonic interval maps},
url = {http://eudml.org/doc/282917},
volume = {176},
year = {2003},
}

TY - JOUR
AU - Franz Hofbauer
AU - Peter Raith
AU - Thomas Steinberger
TI - Multifractal dimensions for invariant subsets of piecewise monotonic interval maps
JO - Fundamenta Mathematicae
PY - 2003
VL - 176
IS - 3
SP - 209
EP - 232
AB - The multifractal generalizations of Hausdorff dimension and packing dimension are investigated for an invariant subset A of a piecewise monotonic map on the interval. Formulae for the multifractal dimension of an ergodic invariant measure, the essential multifractal dimension of A, and the multifractal Hausdorff dimension of A are derived.
LA - eng
KW - multifractal dimension; piecewise monotonic map; invariant set; ergodic measure
UR - http://eudml.org/doc/282917
ER -