The Principle of Least Action in Geometry and Dynamics
Author: Karl Friedrich Siburg
Publisher: Springer Science & Business Media
Published: 2004-05-17
Total Pages: 148
ISBN-13: 9783540219446
DOWNLOAD EBOOKNew 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.