Dynamics Beyond Uniform Hyperbolicity: A Global Geometric by Christian Bonatti,Lorenzo J. Díaz,Marcelo Viana PDF

By Christian Bonatti,Lorenzo J. Díaz,Marcelo Viana

The inspiration of uniform hyperbolicity, brought via Steve Smale within the early sixties, unified very important advancements and ended in a remarkably profitable conception for a wide category of structures: uniformly hyperbolic platforms usually convey complex evolution which, however, is now very well understood, either geometrically and statistically. one other revolution has been occurring within the final couple of a long time, as one attempts to construct an international conception for 'most' dynamical platforms, improving up to attainable of the conclusions of the uniformly hyperbolic case, in nice generality. This publication goals to place such contemporary advancements in a unified standpoint, and to show open difficulties and certain instructions for extra development. it truly is geared toward researchers, either younger and senior, keen to get a short, but vast, view of this a part of dynamics. major principles, tools, and effects are mentioned, at variable levels of intensity, with references to the unique works for info and complementary information.

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Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective: 102 (Encyclopaedia of Mathematical Sciences) by Christian Bonatti,Lorenzo J. Díaz,Marcelo Viana


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