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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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Lenguaje: | eng |
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Springer
2004
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Acceso en línea: | https://dx.doi.org/10.1007/978-3-540-40985-4 http://cds.cern.ch/record/1691368 |
_version_ | 1780935737727778816 |
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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. |
id | cern-1691368 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2004 |
publisher | Springer |
record_format | invenio |
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 AT siburgkarlfriedrich principleofleastactioningeometryanddynamics |