HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Symplectically degenerate maxima via generating functions

Abstract : Dedicated to John Mather on the occasion of his 70th birthday. Abstract. We provide a simple proof of a theorem due to Nancy Hingston, asserting that symplectically degenerate maxima of any Hamiltonian diffeo-morphism φ of the standard symplectic 2d-torus are non-isolated contractible periodic points or their action is a non-isolated point of the average-action spectrum of φ. Our argument is based on generating functions.
Document type :
Journal articles
Complete list of metadata

Cited literature [25 references]  Display  Hide  Download

https://hal-ens-lyon.archives-ouvertes.fr/ensl-01404039
Contributor : Marco Mazzucchelli Connect in order to contact the contributor
Submitted on : Monday, November 28, 2016 - 11:42:43 AM
Last modification on : Tuesday, November 19, 2019 - 11:38:24 AM
Long-term archiving on: : Monday, March 20, 2017 - 6:34:22 PM

File

1102.2021v3.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Marco Mazzucchelli. Symplectically degenerate maxima via generating functions. Mathematische Zeitschrift, Springer, 2013, 275, pp.715 - 739. ⟨10.1007/s00209-013-1157-6⟩. ⟨ensl-01404039⟩

Share

Metrics

Record views

53

Files downloads

155