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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...

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Detalles Bibliográficos
Autor principal: Siburg, Karl Friedrich
Lenguaje:eng
Publicado: Springer 2004
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-540-40985-4
http://cds.cern.ch/record/1691368
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author Siburg, Karl Friedrich
author_facet Siburg, Karl Friedrich
author_sort Siburg, Karl Friedrich
collection CERN
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 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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spelling cern-16913682021-04-21T21:10:31Zdoi:10.1007/978-3-540-40985-4http://cds.cern.ch/record/1691368engSiburg, Karl FriedrichThe principle of least action in geometry and dynamicsMathematical Physics and MathematicsNew 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.Springeroai:cds.cern.ch:16913682004
spellingShingle Mathematical Physics and Mathematics
Siburg, Karl Friedrich
The principle of least action in geometry and dynamics
title The principle of least action in geometry and dynamics
title_full The principle of least action in geometry and dynamics
title_fullStr The principle of least action in geometry and dynamics
title_full_unstemmed The principle of least action in geometry and dynamics
title_short The principle of least action in geometry and dynamics
title_sort principle of least action in geometry and dynamics
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-540-40985-4
http://cds.cern.ch/record/1691368
work_keys_str_mv AT siburgkarlfriedrich theprincipleofleastactioningeometryanddynamics
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