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Absolutely Continuous Invariant Measure for Generalized Horseshoe Maps

Published 7 Feb 2021 in math.DS | (2102.03737v2)

Abstract: In this paper, we study the SRB measures of generalized horseshoe map. We prove that under the conditions of transversality and fatness, the SRB measure is actually absolutely continuous with respect to the Lebesgue measure.

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