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There is some disagreement about the meaning
of the phrase 'chaotic
ow.' However, there is no doubt that mixing Anosov
ows provide an example of such systems. Anosov systems were introduced
and...
Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors
partial hyperbolicity singular-hyperbolicity recurrence decay of correlations local dimension hitting times
2012/4/23
We consider two dimensional maps preserving a foliation which is uniformly contracting and a one dimensional associated quotient map having exponential convergence to equilibrium (iterates of Lebesgue...