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One of the major discoveries of the 20th century mathematics is
the possibility of random behavior of deterministic systems. There is
a hierarchy of chaotic properties for a dynamical systems but on...
We consider a large class of partially hyperbolic systems containing, among others, ane maps, frame
ows on negatively curved manifolds and mostly contracting di eomorphisms.
If the rate of mixing ...
For any m > 1, we construct properly embedded minimal surfaces in H2 R with genus zero,
infinitely many vertical planar ends and m limit ends. We also provide examples with an infinite countable nu...