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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