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Mytt︠s︡i Kam'i︠a︡net︠sʹ-Podilʹsʹkoho
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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...
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). ...
From Butterflies to Hurricanes
From Butterflies to Hurricanes
Half a century after Poincaré first glimpsed chaos in the three-body problem, the great Russian mathematician Andrey Kolmogorov presented a sketch of a theorem that could prove tha...
Lukas Bärfuss
Lukas Bärfuss
"Meist kam er später als alle anderen und ging früher", schreibt der Lyriker Raphael Urweider in seinen Erinnerungen an frühe Begegnungen mit "Luki", der damals begonnen hatte, Kur...