Hyperbolic Times: Frequency vs. Integrability

  title={Hyperbolic Times: Frequency vs. Integrability},
  author={Jos{\'e} F. Alves and Vitor Ara{\'u}jo and BSTRACT},
We consider dynamical systems on compact manifolds, which are local diffeomorphisms outside an exceptional set (a compact submanifold). We are interested in analyzing the relation between the integrability (with respect to Lebesgue measure) of the first hyperbolic time map and the existence of positive frequency of hyperbolic times. We show that some (strong) integrability of the first hyperbolic time map implies the existence of a positive Lebesgue measure subset of points with positive… CONTINUE READING

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