The Herman conjecture

2012/06/06 by Garay, Mauricio
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1206.1245

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.

Related

• La conjecture de Herman
• The Herman invariant tori conjecture
• Positive measure of KAM tori for finitely differentiable Hamiltonians
• Singular KAM Theory
• Converse KAM theory revisited