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Ouvrages Année : 2007

Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

Pettini Marco

Résumé

This book explores the foundations of Hamiltonian dynamical systems and statistical mechanics, in particular phase transitions, from the point of view of geometry and topology. A broad participation of topology in these fields has been lacking and this book will provide a welcome overview of the current research in the area, in which the author himself is a pioneer. Using geometrical thinking to solve fundamental problems in these areas, compared to the purely analytical methods usually used in physics could be highly productive. The author skillfully guides the reader, whether mathematician or physicist, through the background needed to understand and use these techniques.
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Dates et versions

hal-01260170 , version 1 (21-01-2016)

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  • HAL Id : hal-01260170 , version 1

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Pettini Marco. Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics. Springer, 33, 2007, Interdisciplinary Applied Mathematics, S.S. Antman, J.E. Marsden, L. Sirovich, 978-0-387-30892-0. ⟨hal-01260170⟩
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