Minimal measures
- 1 December 1989
- journal article
- Published by European Mathematical Society - EMS - Publishing House GmbH in Commentarii Mathematici Helvetici
- Vol. 64 (1) , 375-394
- https://doi.org/10.1007/bf02564683
Abstract
For a finite composition of exact, area preserving, positive twist diffeomorphisms of the infinite cylinder, we will show that an invariant measure whose support consists of minimal orbits strictly minimizes the average action.Keywords
This publication has 8 references indexed in Scilit:
- Destruction of invariant circlesErgodic Theory and Dynamical Systems, 1988
- Mather sets for plane Hamiltonian systemsZeitschrift für angewandte Mathematik und Physik, 1987
- Modulus of Continuity for Peierls’s BarrierPublished by Springer Nature ,1987
- A criterion for the non-existence of invariant circlesPublications mathématiques de l'IHÉS, 1986
- Monotone twist mappings and the calculus of variationsErgodic Theory and Dynamical Systems, 1986
- The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. ArnoldInventiones Mathematicae, 1983
- Concavity of the Lagrangian for quasi-periodic orbitsCommentarii Mathematici Helvetici, 1982
- Existence of quasi-periodic orbits for twist homeomorphisms of the annulusTopology, 1982