The multifractal box dimensions of typical measures

Frédéric Bayart

Fundamenta Mathematicae (2012)

  • Volume: 219, Issue: 2, page 145-162
  • ISSN: 0016-2736

Abstract

top
We compute the typical (in the sense of Baire’s category theorem) multifractal box dimensions of measures on a compact subset of d . Our results are new even in the context of box dimensions of measures.

How to cite

top

Frédéric Bayart. "The multifractal box dimensions of typical measures." Fundamenta Mathematicae 219.2 (2012): 145-162. <http://eudml.org/doc/282998>.

@article{FrédéricBayart2012,
abstract = {We compute the typical (in the sense of Baire’s category theorem) multifractal box dimensions of measures on a compact subset of $ℝ^d$. Our results are new even in the context of box dimensions of measures.},
author = {Frédéric Bayart},
journal = {Fundamenta Mathematicae},
keywords = {measures; multifractal; box dimensions},
language = {eng},
number = {2},
pages = {145-162},
title = {The multifractal box dimensions of typical measures},
url = {http://eudml.org/doc/282998},
volume = {219},
year = {2012},
}

TY - JOUR
AU - Frédéric Bayart
TI - The multifractal box dimensions of typical measures
JO - Fundamenta Mathematicae
PY - 2012
VL - 219
IS - 2
SP - 145
EP - 162
AB - We compute the typical (in the sense of Baire’s category theorem) multifractal box dimensions of measures on a compact subset of $ℝ^d$. Our results are new even in the context of box dimensions of measures.
LA - eng
KW - measures; multifractal; box dimensions
UR - http://eudml.org/doc/282998
ER -

NotesEmbed ?

top

You 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.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.