Generic Properties of Continuous
Iterated Function Systems with Place Dependent Probabilities
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 1, pp. 81-96
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
It is shown that for a typical continuous learning system defined on a
compact convex subset of ${\mathbb R}^n$ the Hausdorff dimension of its
invariant measure is equal to zero.
Keywords:
shown typical continuous learning system defined compact convex subset mathbb hausdorff dimension its invariant measure equal zero
Affiliations des auteurs :
Tomasz Bielaczyc 1
@article{10_4064_ba55_1_9,
author = {Tomasz Bielaczyc},
title = {Generic {Properties} of {Continuous
Iterated} {Function} {Systems} with {Place} {Dependent} {Probabilities}},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {81--96},
publisher = {mathdoc},
volume = {55},
number = {1},
year = {2007},
doi = {10.4064/ba55-1-9},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba55-1-9/}
}
TY - JOUR AU - Tomasz Bielaczyc TI - Generic Properties of Continuous Iterated Function Systems with Place Dependent Probabilities JO - Bulletin of the Polish Academy of Sciences. Mathematics PY - 2007 SP - 81 EP - 96 VL - 55 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ba55-1-9/ DO - 10.4064/ba55-1-9 LA - en ID - 10_4064_ba55_1_9 ER -
%0 Journal Article %A Tomasz Bielaczyc %T Generic Properties of Continuous Iterated Function Systems with Place Dependent Probabilities %J Bulletin of the Polish Academy of Sciences. Mathematics %D 2007 %P 81-96 %V 55 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/ba55-1-9/ %R 10.4064/ba55-1-9 %G en %F 10_4064_ba55_1_9
Tomasz Bielaczyc. Generic Properties of Continuous Iterated Function Systems with Place Dependent Probabilities. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 1, pp. 81-96. doi: 10.4064/ba55-1-9
Cité par Sources :