Building Expansion for Generalizations of Viana Maps

Published 1 Dec 2023 in math.DS | (2312.00906v1)

Abstract: In a seminal paper, Viana built examples of maps presenting two positive Lyapunov exponents exploring skew-products of a (uniformly) expanding map and a quadratic map (order 2 critical point) perturbed by some level of noise. Here we extend that construction replacing the quadratic underlying dynamics by maps with a more degenerated critical point.

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