Buch, Englisch, Band 1844, 132 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 236 g
Reihe: Lecture Notes in Mathematics
Buch, Englisch, Band 1844, 132 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 236 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-21944-6
Verlag: Springer Berlin Heidelberg
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
- Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
- Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
Weitere Infos & Material
Aubry-Mather Theory.- Mather-Mané Theory.- The Minimal Action and Convex Billiards.- The Minimal Action Near Fixed Points and Invariant Tori.- The Minimal Action and Hofer's Geometry.- The Minimal Action and Symplectic Geometry.- References.- Index.
