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arxiv: math/0403537 · v1 · pith:M43FJXJV · submitted 2004-03-31 · math.DS

Backward volume contraction for endomorphisms with eventual volume expansion

Jose F. Alves , Armando Castro , Vilton Pinheiro This is my paper

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classification math.DS
keywords 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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