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The Principle of Least Action in Geometry and Dynamics

The Principle of Least Action in Geometry and Dynamics

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783540409854
Condition
New
Product Description

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 Mathers 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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