Download E-books The Principle of Least Action in Geometry and Dynamics (Lecture Notes in Mathematics) PDF

By Karl Friedrich Siburg

New variational tools by way of Aubry, Mather, and Mane, came across within the final two decades, gave deep perception into the dynamics of convex Lagrangian structures. This publication indicates how this precept of Least motion looks in quite a few settings (billiards, size spectrum, Hofer geometry, glossy symplectic geometry). hence, themes from smooth dynamical structures and glossy symplectic geometry are associated in a brand new and occasionally marvelous manner. The significant item is Mather’s minimum motion sensible. the extent is for graduate scholars onwards, but additionally for researchers in any of the topics touched within the book.

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