A local ergodic theorem for non-uniformly hyperbolic symplectic maps with singularities

Details A local ergodic theorem for non-uniformly hyperbolic symplectic maps with singularities A local ergodic theorem for non-uniformly hyperbolic symplectic maps with singularities

2010-10-06

arxiv.org/abs/1010.1229v2

Mathematics

Dynamical Systems

35 pages

Scientific paper

In this paper, we prove a criterion for the local ergodicity of non-uniformly
hyperbolic symplectic maps with singularities. Our result is an extension of a
theorem of Liverani and Wojtkowski.

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