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|Title:||Analytic skew-products of quadratic polynomials over misiurewicz-thurston maps||Authors:||Gao, R.
|Keywords:||Absolutely continuous invariant measure
|Issue Date:||May-2014||Citation:||Gao, 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||Abstract:||We 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.||Source Title:||Discrete and Continuous Dynamical Systems- Series A||URI:||http://scholarbank.nus.edu.sg/handle/10635/102863||ISSN:||10780947||DOI:||10.3934/dcds.2014.34.2013|
|Appears in Collections:||Staff Publications|
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