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Kam'i︠a︡ne zodchestvo Ukraïny
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The Hamilton-Jacobi Equation and Weak KAM Theory
The Hamilton-Jacobi Equation and Weak KAM Theory
This chapter describes another interesting approach to the study of invariant sets provided by the so-called weak KAM theory, developed by Albert Fathi. This approach can be consid...
Russkoe zodchestvo
Russkoe zodchestvo
Institut istorii i teorii arkhitektury (Akademii͡a arkhitektury SSSR)...
From KAM Theory to Aubry-Mather Theory
From KAM Theory to Aubry-Mather Theory
This chapter discusses an illustrative example, namely the properties of invariant probability measures and orbits on KAM tori (or more generally, on invariant Lagrangian graphs). ...