Download PDF by Mark Pollicott: Lectures on Ergodic Theory and Pesin Theory on Compact

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By Mark Pollicott

Pesin thought comprises the research of the idea of non-uniformly hyperbolic diffeomorphisms. the purpose of this booklet is to supply the reader with an easy account of this conception, following the methods of Katok and Newhouse. The notes are divided into elements. the 1st develops the elemental idea, beginning with basic ergodic concept and introducing Liapunov exponents. half bargains with the purposes of Pesin idea and comprises an account of the life (and distribution) of periodic issues. It closes with a glance at sturdy manifolds, and offers a few effects on absolute continuity. those lecture notes offer a different advent to Pesin thought and its functions. the writer assumes that the reader has just a stable historical past of undergraduate research and not anything additional, so making the e-book obtainable to accomplish beginners to the field.

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Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds (London Mathematical Society Lecture Note Series) by Mark Pollicott


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