On the Hausdorff dimension of piecewise hyperbolic attractors
Fundamenta Mathematicae (2010)
- Volume: 207, Issue: 3, page 255-272
- ISSN: 0016-2736
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topTomas Persson. "On the Hausdorff dimension of piecewise hyperbolic attractors." Fundamenta Mathematicae 207.3 (2010): 255-272. <http://eudml.org/doc/282682>.
@article{TomasPersson2010,
abstract = {We study non-invertible piecewise hyperbolic maps in the plane. The Hausdorff dimension of the attractor is calculated in terms of the Lyapunov exponents, provided that the map satisfies a transversality condition. Explicit examples of maps for which this condition holds are given.},
author = {Tomas Persson},
journal = {Fundamenta Mathematicae},
keywords = {Hausdorff dimension; piecewise hyperbolic attractors},
language = {eng},
number = {3},
pages = {255-272},
title = {On the Hausdorff dimension of piecewise hyperbolic attractors},
url = {http://eudml.org/doc/282682},
volume = {207},
year = {2010},
}
TY - JOUR
AU - Tomas Persson
TI - On the Hausdorff dimension of piecewise hyperbolic attractors
JO - Fundamenta Mathematicae
PY - 2010
VL - 207
IS - 3
SP - 255
EP - 272
AB - We study non-invertible piecewise hyperbolic maps in the plane. The Hausdorff dimension of the attractor is calculated in terms of the Lyapunov exponents, provided that the map satisfies a transversality condition. Explicit examples of maps for which this condition holds are given.
LA - eng
KW - Hausdorff dimension; piecewise hyperbolic attractors
UR - http://eudml.org/doc/282682
ER -
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