The Herman conjecture
Dynamical Systems
2013-12-05 v3
Abstract
In the nineties, Michel Herman conjectured the existence of a positive measure set of invariant tori at an elliptic diophantine critical point of a hamiltonian function. I show that KAM versal deformation theory solves positively this conjecture.
Keywords
Cite
@article{arxiv.1206.1245,
title = {The Herman conjecture},
author = {Mauricio Garay},
journal= {arXiv preprint arXiv:1206.1245},
year = {2013}
}
Comments
See also arXiv:1308.4522 and arXiv:1309.4028. With respect to the older version the proof has been simplified