Discrete Weak KAM Theory
Maxime Zavidovique
Broschiertes Buch

Discrete Weak KAM Theory

An Introduction through Examples and its Applications to Twist Maps

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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 theor...