Analytic skew products of quadratic polynomials over circle expanding maps

arxiv: 1209.2570 · v3 · pith:FQXCS3OTnew · submitted 2012-09-12 · 🧮 math.DS

Wen Huang , Weixiao Shen This is my paper

classification 🧮 math.DS

keywords analyticadmitsalmostarbitrarilycirclecouplingeverywhereexpanding

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We prove that a Viana map with an arbitrarily non-constant real analytic coupling function admits two positive Lyapunov exponents almost everywhere.

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