广义马蹄图的绝对连续不变度量

Abbas Fakhari, Maryam Khalaj, Mohammad Soufi
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摘要

本文研究广义马蹄图的西奈-卢埃勒-鲍文(SRB)度量。我们证明,在横向性和胖度条件下,SRB 度量相对于 Lebesgue 度量确实是绝对连续的。
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Absolutely Continuous Invariant Measure for Generalized Horseshoe Maps

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.

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