Subadditive Pressure for IFS with Triangular Maps

Balázs Bárány

Bulletin of the Polish Academy of Sciences. Mathematics (2009)

  • Volume: 57, Issue: 3, page 263-278
  • ISSN: 0239-7269

Abstract

top
We investigate properties of the zero of the subadditive pressure which is a most important tool to estimate the Hausdorff dimension of the attractor of a non-conformal iterated function system (IFS). Our result is a generalization of the main results of Miao and Falconer [Fractals 15 (2007)] and Manning and Simon [Nonlinearity 20 (2007)].

How to cite

top

Balázs Bárány. "Subadditive Pressure for IFS with Triangular Maps." Bulletin of the Polish Academy of Sciences. Mathematics 57.3 (2009): 263-278. <http://eudml.org/doc/281341>.

@article{BalázsBárány2009,
abstract = {We investigate properties of the zero of the subadditive pressure which is a most important tool to estimate the Hausdorff dimension of the attractor of a non-conformal iterated function system (IFS). Our result is a generalization of the main results of Miao and Falconer [Fractals 15 (2007)] and Manning and Simon [Nonlinearity 20 (2007)].},
author = {Balázs Bárány},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Hausdorff dimension; contracting on average; subadditive pressure},
language = {eng},
number = {3},
pages = {263-278},
title = {Subadditive Pressure for IFS with Triangular Maps},
url = {http://eudml.org/doc/281341},
volume = {57},
year = {2009},
}

TY - JOUR
AU - Balázs Bárány
TI - Subadditive Pressure for IFS with Triangular Maps
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2009
VL - 57
IS - 3
SP - 263
EP - 278
AB - We investigate properties of the zero of the subadditive pressure which is a most important tool to estimate the Hausdorff dimension of the attractor of a non-conformal iterated function system (IFS). Our result is a generalization of the main results of Miao and Falconer [Fractals 15 (2007)] and Manning and Simon [Nonlinearity 20 (2007)].
LA - eng
KW - Hausdorff dimension; contracting on average; subadditive pressure
UR - http://eudml.org/doc/281341
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.