Packing spectra for Bernoulli measures supported on Bedford-McMullen carpets

Thomas Jordan, and Michał Rams. "Packing spectra for Bernoulli measures supported on Bedford-McMullen carpets." Fundamenta Mathematicae 229.2 (2015): 171-196. <http://eudml.org/doc/283376>.

@article{ThomasJordan2015,
abstract = {We consider the packing spectra for the local dimension of Bernoulli measures supported on Bedford-McMullen carpets. We show that typically the packing dimension of the regular set is smaller than the packing dimension of the attractor. We also consider a specific class of measures for which we are able to calculate the packing spectrum exactly, and we show that the packing spectrum is discontinuous as a function on the space of Bernoulli measures.},
author = {Thomas Jordan, Michał Rams},
journal = {Fundamenta Mathematicae},
keywords = {multifractal spectra; self-affine sets; Hausdorff and packing dimension},
language = {eng},
number = {2},
pages = {171-196},
title = {Packing spectra for Bernoulli measures supported on Bedford-McMullen carpets},
url = {http://eudml.org/doc/283376},
volume = {229},
year = {2015},
}

TY - JOUR
AU - Thomas Jordan
AU - Michał Rams
TI - Packing spectra for Bernoulli measures supported on Bedford-McMullen carpets
JO - Fundamenta Mathematicae
PY - 2015
VL - 229
IS - 2
SP - 171
EP - 196
AB - We consider the packing spectra for the local dimension of Bernoulli measures supported on Bedford-McMullen carpets. We show that typically the packing dimension of the regular set is smaller than the packing dimension of the attractor. We also consider a specific class of measures for which we are able to calculate the packing spectrum exactly, and we show that the packing spectrum is discontinuous as a function on the space of Bernoulli measures.
LA - eng
KW - multifractal spectra; self-affine sets; Hausdorff and packing dimension
UR - http://eudml.org/doc/283376
ER -