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Positive Lyapunov exponents for quadratic skew-products over  a Misiurewicz-Thurston map
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.). (Analysgruppen)
2009 (English)In: Nonlinearity, ISSN 0951-7715, E-ISSN 1361-6544, Vol. 22, 2681-2695 p.Article in journal (Refereed) Published
Abstract [en]

We study a class of skew-products of quadratic maps-also called Viana maps-where the base dynamics is given by a high enough iteration of a Misiurewicz-Thurston quadratic map. We show that these systems admit two positive Lyapunov exponents.

Place, publisher, year, edition, pages
2009. Vol. 22, 2681-2695 p.
National Category
Materials Engineering
Identifiers
URN: urn:nbn:se:kth:diva-11646DOI: 10.1088/0951-7715/22/11/006ISI: 000270757400006Scopus ID: 2-s2.0-70350650726OAI: oai:DiVA.org:kth-11646DiVA: diva2:278691
Note
QC 20100809Available from: 2009-12-03 Created: 2009-11-28 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Viana maps and limit distributions of sums of point measures
Open this publication in new window or tab >>Viana maps and limit distributions of sums of point measures
2009 (English)Doctoral thesis, comprehensive summary (Other academic)
Place, publisher, year, edition, pages
Stockholm: US-AB, 2009. vii, 37 p.
Series
Trita-MAT. MA, ISSN 1401-2278 ; 09:14
Keyword
Viana maps, absolutely continuous invariant measures, skew-products, quadratic maps, Bernoulli convolutions, absolute continuity, typical points, equidistributed sequences, uniformly distibuted sequences
National Category
Mathematical Analysis
Identifiers
urn:nbn:se:kth:diva-11477 (URN)978-91-7415-521-1 (ISBN)
Public defence
2009-12-17, Kollegiesalen F3, Kungl Tekniska högskolan, Lindstedtsvägen 26, Stockholm, 10:00 (English)
Opponent
Supervisors
Available from: 2009-12-03 Created: 2009-11-16 Last updated: 2012-02-24Bibliographically approved

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Publisher's full textScopushttp://www.iop.org/EJ/abstract/0951-7715/22/11/006/

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