La conjecture de Herman

Details La conjecture de Herman La conjecture de Herman

2011-04-05

arxiv.org/abs/1104.0748v3

Mathematics

Dynamical Systems

Scientific paper

In the Nineties, Michel Herman conjectured the existence of a positive
measure set of invariant tori at an elliptic diophatine critical point of a
hamiltonian function. I construct a formalism for the UV-cutoff and prove a
generalised KAM theorem which solves positively the Herman conjecture.

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