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

By Christian Bonatti,Lorenzo J. Díaz,Marcelo Viana

The concept of uniform hyperbolicity, brought by way of Steve Smale within the early sixties, unified very important advancements and ended in a remarkably profitable conception for a wide classification of platforms: uniformly hyperbolic platforms usually show complex evolution which, however, is now very well understood, either geometrically and statistically. one other revolution has been happening within the final couple of many years, as one attempts to construct a world idea for 'most' dynamical structures, getting better up to attainable of the conclusions of the uniformly hyperbolic case, in nice generality. This e-book goals to place such contemporary advancements in a unified standpoint, and to indicate open difficulties and sure instructions for additional development. it truly is geared toward researchers, either younger and senior, prepared to get a brief, but wide, 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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