ANALYTIC SKEW-PRODUCTS OF QUADRATIC POLYNOMIALS OVER MISIUREWICZ-THURSTON MAPS

作者：Gao Rui^*; Shen Weixiao

来源：Discrete and Continuous Dynamical Systems, 2014, 34(5): 2013-2036.

DOI：10.3934/dcds.2014.34.2013

• Lyapunov exponent
• absolutely continuous invariant measure
• non-uniform expansion
• Viana maps
• Misiurewicz-Thurston maps

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.

• 出版日期2014-5