Alexandre Rocha

most citedA dynamical condition for differentiability of Mather's average action

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.DS2019

Generic properties of Mañé's set of exact magnetic Lagrangians

Alexandre Rocha

Let $M$ be a closed manifold and $L$ an exact magnetic Lagrangian. In this paper we proved that there exists a residual $G$ of $H^{1} (M; R)$ such that…

math.DS2012★ 1 cited

A dynamical condition for differentiability of Mather's average action

Alexandre Rocha, Mário J. D. Carneiro

We prove the differentiability of $β$ of Mather function on all homology classes corresponding to rotation vectors of measures whose supports are contained in a Lipschitz Lagrangia…

math.DS2012

A Generic Property of Exact Magnetic Lagrangians

Mário Jorge Dias Carneiro, Alexandre Rocha

We prove that for the set of Exact Magnetic Lagrangians the property "There exist finitely many static classes for every cohomology class" is generic. We also prove some dynamical…