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Please use this identifier to cite or link to this item: https://doi.org/10.3934/dcds.2014.34.2013
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dc.titleAnalytic skew-products of quadratic polynomials over misiurewicz-thurston maps
dc.contributor.authorGao, R.
dc.contributor.authorShen, W.
dc.date.accessioned2014-10-28T02:30:36Z
dc.date.available2014-10-28T02:30:36Z
dc.date.issued2014-05
dc.identifier.citationGao, R., Shen, W. (2014-05). Analytic skew-products of quadratic polynomials over misiurewicz-thurston maps. Discrete and Continuous Dynamical Systems- Series A 34 (5) : 2013-2036. ScholarBank@NUS Repository. https://doi.org/10.3934/dcds.2014.34.2013
dc.identifier.issn10780947
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/102863
dc.description.abstractWe consider skew-products of quadratic maps over certain Misiurewicz-Thurston maps and study their statistical properties. We prove that, when the coupling function is a polynomial of odd degree, such a system admits two positive Lyapunov exponents almost everywhere and a unique absolutely continuous invariant probability measure.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.3934/dcds.2014.34.2013
dc.sourceScopus
dc.subjectAbsolutely continuous invariant measure
dc.subjectLyapunov exponent
dc.subjectMisiurewicz-Thurston maps
dc.subjectNon-uniform expansion
dc.subjectViana maps
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.3934/dcds.2014.34.2013
dc.description.sourcetitleDiscrete and Continuous Dynamical Systems- Series A
dc.description.volume34
dc.description.issue5
dc.description.page2013-2036
dc.identifier.isiut000326321700015
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