Absolutely Continuous Invariant Measure for Generalized Horseshoe Maps

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发表日期：

2024年5月31日

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Abbas Fakhari,
Maryam Khalaj,
Mohammad Soufi

摘要

In this paper, we study the Sinai–Ruelle–Bowen (SRB) measures of generalized horseshoe maps. We prove that under the conditions of transversality and fatness, the SRB measure is indeed absolutely continuous with respect to the Lebesgue measure.