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Solution of the basin problem for Henon-like attractors
KTH, Superseded Departments, Mathematics.
2001 (English)In: Inventiones Mathematicae, ISSN 0020-9910, E-ISSN 1432-1297, Vol. 143, no 2, 375-434 p.Article in journal (Refereed) Published
Abstract [en]

For a large class of non-uniformly hyperbolic attractors of dissipative diffeomorphisms, we prove that there are no holes in the basin of attraction: stable manifolds of points in the attractor fill-in a full Lebesgue measure subset. Then, Lebesgue almost every point in the basin is generic for the SRB (Sinai-Ruelle-Bowen) measure of the attractor. This solves a problem posed by Sinai and by Ruelle, for this class of systems.

Place, publisher, year, edition, pages
2001. Vol. 143, no 2, 375-434 p.
Keyword [en]
strange attractors, ergodic-theory, axiom
URN: urn:nbn:se:kth:diva-20328ISI: 000166745100005OAI: diva2:339023
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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