Download E-books Lyapunov Exponents and Smooth Ergodic Theory (University Lecture Series) PDF

By Luis Barreira

This e-book is a scientific creation to soft ergodic thought. the themes mentioned comprise the final (abstract) conception of Lyapunov exponents and its purposes to the steadiness thought of differential equations, reliable manifold idea, absolute continuity, and the ergodic idea of dynamical platforms with nonzero Lyapunov exponents (including geodesic flows). The authors think about a number of nontrivial examples of dynamical platforms with nonzero Lyapunov exponents to demonstrate a few easy tools and ideas of the speculation. This booklet is self-contained. The reader wishes a uncomplicated wisdom of genuine research, degree concept, differential equations, and topology. The authors current simple techniques of tender ergodic concept and supply whole proofs of the most effects. additionally they country a few extra complicated effects to offer readers a broader view of soft ergodic concept. This quantity can be utilized via these nonexperts who desire to get to grips with the sphere.

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