The Principle of Least Action in Geometry and Dynamics
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 symplecti...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2004.
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Έκδοση: | 1st ed. 2004. |
Σειρά: | Lecture Notes in Mathematics,
1844 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Περίληψη: | 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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Φυσική περιγραφή: | XII, 132 p. online resource. |
ISBN: | 9783540409854 |
ISSN: | 0075-8434 ; |
DOI: | 10.1007/978-3-540-40985-4 |