La conjecture de Herman
Dynamical Systems
2011-11-09 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1104.0748,
title = {La conjecture de Herman},
author = {Mauricio Garay},
journal= {arXiv preprint arXiv:1104.0748},
year = {2011}
}