Backward volume contraction for endomorphisms with eventual volume expansion

Details Backward volume contraction for endomorphisms with eventual volume expansion Backward volume contraction for endomorphisms with eventual volume expansion

2004-03-31

arxiv.org/abs/math/0403537v1

Mathematics

Dynamical Systems

Scientific paper

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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