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New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.
Autor: Siburg, Karl Friedrich
ISBN: 9783540219446
Sprache: Englisch
Seitenzahl: 132
Produktart: Kartoniert / Broschiert
Verlag: Springer Berlin
Veröffentlicht: 17.05.2004
Schlagworte: Lagrangian systems convex billiards lenth spectrum symplectic geometry variational principles