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

By Karl Friedrich Siburg

New variational equipment via Aubry, Mather, and Mane, came upon within the final 20 years, gave deep perception into the dynamics of convex Lagrangian structures. This e-book indicates how this precept of Least motion seems to be in numerous settings (billiards, size spectrum, Hofer geometry, sleek symplectic geometry). therefore, subject matters from sleek dynamical structures and sleek symplectic geometry are associated in a brand new and infrequently impressive means. The critical item is Mather’s minimum motion practical. the extent is for graduate scholars onwards, but in addition for researchers in any of the topics touched within the book.

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