English

Differentiability of Mather's average action and integrability on closed surfaces

Dynamical Systems 2010-12-10 v2 Mathematical Physics math.MP Symplectic Geometry

Abstract

In this article we study the differentiability of Mather's β\beta-function on closed surfaces and its relation to the integrability of the system.

Keywords

Cite

@article{arxiv.0907.2055,
  title  = {Differentiability of Mather's average action and integrability on closed surfaces},
  author = {Daniel Massart and Alfonso Sorrentino},
  journal= {arXiv preprint arXiv:0907.2055},
  year   = {2010}
}

Comments

20 pages, 1 figure. Major revision of the paper

R2 v1 2026-06-21T13:24:07.497Z