Discrete Weak KAM Theory
Zavidovique, Maxime
Produktnummer:
18ae90da626a9e4b528781c459e3e3b529
| Autor: | Zavidovique, Maxime |
|---|---|
| Themengebiete: | Aubry Mather theory Ergodic Theory Hamiltonian systems Partial Differential Equations optimization and optimal control theory symplectic twist maps of the annulus weak KAM theory |
| Veröffentlichungsdatum: | 27.09.2025 |
| EAN: | 9783031968099 |
| Sprache: | Englisch |
| Seitenzahl: | 188 |
| Produktart: | Unbekannt |
| Verlag: | Springer International Publishing |
| Untertitel: | An Introduction through Examples and its Applications to Twist Maps |
Produktinformationen "Discrete Weak KAM Theory"
The aim of this book is to present a self-contained account of discrete weak KAM theory. Putting aside its intrinsic elegance, this theory also provides a toy model for classical weak KAM theory, where many technical difficulties disappear, but where the central ideas and results persist. It therefore serves as a good introduction to (continuous) weak KAM theory. The first three chapters give a general exposition of the general abstract theory, concluding with a discussion of the relations between the results proved in the discrete setting and the analogous theorems of classical weak KAM theory. Several examples are studied and some key differences between the discrete and classical theory are highlighted. The final chapter is devoted to the historical problem of conservative twist maps of the annulus.
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