The Principle of Least Action in Geometry and Dynamics (Lecture Notes in Mathematics)

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.Karl Friedrich Siburg is the author of 'The Principle of Least Action in Geometry and Dynamics (Lecture Notes in Mathematics)', published 2004 under ISBN 9783540219446 and ISBN 3540219447.