This textbook is a self-contained and easy-to-read advent to ergodic idea and the idea of dynamical platforms, with a specific emphasis on chaotic dynamics.
This ebook encompasses a huge choice of issues and explores the basic rules of the topic. beginning with simple notions akin to ergodicity, blending, and isomorphisms of dynamical structures, the ebook then makes a speciality of numerous chaotic changes with hyperbolic dynamics, prior to relocating directly to issues similar to entropy, info idea, ergodic decomposition and measurable walls. specific motives are observed via quite a few examples, together with period maps, Bernoulli shifts, toral endomorphisms, geodesic move on negatively curved manifolds, Morse-Smale platforms, rational maps at the Riemann sphere and unusual attractors.
"Ergodic idea and Dynamical platforms" will attract graduate scholars in addition to researchers searching for an advent to the topic. whereas light at the starting pupil, the publication additionally includes a variety of reviews for the extra complicated reader.
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