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The Principle of Least Action in Geometry and Dynamics

The Principle of Least Action in Geometry and Dynamics

Paperback

Series: Lecture Notes in Mathematics, Book 1844

General ComputersGeneral MathematicsGeometry

ISBN10: 3540219447
ISBN13: 9783540219446
Publisher: Springer
Published: May 17 2004
Pages: 132
Weight: 0.48
Height: 0.32 Width: 6.14 Depth: 9.21
Language: English

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.

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General Computers