Multifractal dimensions for invariant subsets of piecewise monotonic interval maps

@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 -