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

Daniel Massart (1) , Alfonso Sorrentino (2)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

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

Domaines: Systèmes dynamiques [math.DS]

Daniel Massart, Alfonso Sorrentino. Differentiability of Mather's average action and integrability on closed surfaces. Nonlinearity, 2011, 24 (6), pp.1777-1793. ⟨10.1088/0951-7715/24/6/005⟩. ⟨hal-00404082⟩