Physical measures for partially hyperbolic surface endomorphisms

Details Physical measures for partially hyperbolic surface endomorphisms Physical measures for partially hyperbolic surface endomorphisms

2003-01-22

arxiv.org/abs/math/0301243v2

Mathematics

Dynamical Systems

72pages, no figures

Scientific paper

We consider dynamical systems generated by partially hyperbolic surface
endomorphisms of class C^r with one-dimensional strongly unstable subbundle. As
the main result, we prove that such a dynamical system generically admits
finitely many ergodic physical measures whose union of basins of attraction has
total Lebesgue measure, provided that r>= 19.

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