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Action-minimizing methods in Hamiltonian dynamics : an introduction to Aubry-Mather theory

Author: Alfonso Sorrentino
Publisher: Princeton, New Jersey : Princeton University Press, [2015]
Series: Mathematical notes (Princeton University Press), 50.
Edition/Format:   Print book : English
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Alfonso Sorrentino
ISBN: 9780691164502 0691164509
OCLC Number: 894625392
Description: xi, 115 pages : illustrations ; 24 cm.
Contents: Tonelli Lagrangians and Hamitonians on compact manifolds --
From KAM theory to Aubry-Mather theory --
Action-minimizing invariant measures for Tonelli Lagrangians --
Action-minimizing curves for Tonelli Lagragians --
The Hamilton-Jacobi equation and weak KAM theory --
Appendices --On the existence of invariant Lagrangian graphs --
Schwartzman asymptotic cycle and dynamics.
Series Title: Mathematical notes (Princeton University Press), 50.
Other Titles: Hamiltonian dynamics
Aubry-Mather theory
Responsibility: Alfonso Sorrentino.
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