Hausdorff and packing measure for thick solenoids
Studia Mathematica (2004)
- Volume: 163, Issue: 2, page 193-202
- ISSN: 0039-3223
Access Full Article
top
Abstract
topHow to cite
topMichał Rams. "Hausdorff and packing measure for thick solenoids." Studia Mathematica 163.2 (2004): 193-202. <http://eudml.org/doc/286307>.
@article{MichałRams2004,
abstract = {For a linear solenoid with two different contraction coefficients and box dimension greater than 2, we give precise formulas for the Hausdorff and packing dimensions. We prove that the packing measure is infinite and give a condition necessary and sufficient for the Hausdorff measure to be positive, finite and equivalent to the SBR measure. We also give analogous results, generalizing [P], for affine IFS in ℝ².},
author = {Michał Rams},
journal = {Studia Mathematica},
language = {eng},
number = {2},
pages = {193-202},
title = {Hausdorff and packing measure for thick solenoids},
url = {http://eudml.org/doc/286307},
volume = {163},
year = {2004},
}
TY - JOUR
AU - Michał Rams
TI - Hausdorff and packing measure for thick solenoids
JO - Studia Mathematica
PY - 2004
VL - 163
IS - 2
SP - 193
EP - 202
AB - For a linear solenoid with two different contraction coefficients and box dimension greater than 2, we give precise formulas for the Hausdorff and packing dimensions. We prove that the packing measure is infinite and give a condition necessary and sufficient for the Hausdorff measure to be positive, finite and equivalent to the SBR measure. We also give analogous results, generalizing [P], for affine IFS in ℝ².
LA - eng
UR - http://eudml.org/doc/286307
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.