Mauricio Garay
Published 2011-04-05, updated 2011-11-08Version 3
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.
Invariant tori for the Nosé Thermostat near the High-Temperature Limit
Flow map parameterization methods for invariant tori in quasi-periodic Hamiltonian systems
The Herman conjecture
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