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Backward volume contraction for endomorphisms with eventual volume expansion
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math.DS
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volumealmostbackwardcontractioneventualeveryexpansionlebesgue
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We consider smooth maps on compact Riemannian manifolds. We prove that under some mild condition of eventual volume expansion Lebesgue almost everywhere we have uniform backward volume contraction on every pre-orbit for Lebesgue almost every point.
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