On asymptotic volume of Finsler tori, minimal surfaces in normed spaces, and symplectic filling volume
D Burago, S Ivanov - Annals of mathematics, 2002 - JSTOR
The main" unconditional" result of this paper, Theorem 3, states that every two-dimensional
affine disc in a normed space (that is, a disc contai in a two-dimensional affine subspace) is …
affine disc in a normed space (that is, a disc contai in a two-dimensional affine subspace) is …
On Aubry sets and Mather's action functional
D Massart - Israel Journal of Mathematics, 2003 - Springer
We study Lagrangian systems on a closed manifold M. We link the differentiability of
Mather's β-function with the topological complexity of the complement of the Aubry set. As a …
Mather's β-function with the topological complexity of the complement of the Aubry set. As a …
Differentiability of effective fronts in the continuous setting in two dimensions
HV Tran, Y Yu - International Mathematics Research Notices, 2024 - academic.oup.com
We study the effective front associated with first-order front propagations in two dimensions
() in the periodic setting with continuous coefficients. Our main result says that that the …
() in the periodic setting with continuous coefficients. Our main result says that that the …
Sur la forme de la boule unité de la norme stable unidimensionnelle
I Babenko, F Balacheff - manuscripta mathematica, 2006 - Springer
We study the stable norm on the first homology of a Riemannian polyhedron. In the one-
dimensional case (metric graphs), the geometry of the unit ball of this norm is completely …
dimensional case (metric graphs), the geometry of the unit ball of this norm is completely …
Effective fronts of polytope shapes
We study the periodic homogenization of first order front propagations. Based on PDE
methods, we provide a simple proof that for $ n\geq 3$, the class of centrally symmetric …
methods, we provide a simple proof that for $ n\geq 3$, the class of centrally symmetric …
Effective fronts of polygon shapes in two dimensions
We study the effective fronts of first order front propagations in two dimensions () in the
periodic setting. Using PDE-based approaches, we show that for every, the class of centrally …
periodic setting. Using PDE-based approaches, we show that for every, the class of centrally …
Self-contracted curves in spaces with weak lower curvature bound
We show that bounded self-contracted curves are rectifiable in metric spaces with weak
lower curvature bound in a sense we introduce in this article. This class of spaces is wide …
lower curvature bound in a sense we introduce in this article. This class of spaces is wide …
Examples of Aubry sets
JN Mather - Ergodic Theory and Dynamical Systems, 2004 - cambridge.org
Examples of Aubry sets Page 1 Ergod. Th. & Dynam. Sys. (2004), 24, 1667–1723 c 2004
Cambridge University Press DOI: 10.1017/S0143385704000446 Printed in the United Kingdom …
Cambridge University Press DOI: 10.1017/S0143385704000446 Printed in the United Kingdom …
On the total disconnectedness of the quotient Aubry set
A Sorrentino - Ergodic Theory and Dynamical Systems, 2008 - cambridge.org
In this paper we show that the quotient Aubry set, associated to a sufficiently smooth
mechanical or symmetrical Lagrangian, is totally disconnected (ie every connected …
mechanical or symmetrical Lagrangian, is totally disconnected (ie every connected …
[PDF][PDF] On the stochastic Aubry-Mather theory
R Iturriaga, H Sánchez-Morgado - Bol. Soc. Mat. Mexicana (3), 2005 - researchgate.net
ON THE STOCHASTIC AUBRY-MATHER THEORY 1. Introduction In the work of Gomes [G] a
stochastic analogue of Aubry Mather theory was Page 1 Bol. Soc. Mat. Mexicana (3) Vol. 11 …
stochastic analogue of Aubry Mather theory was Page 1 Bol. Soc. Mat. Mexicana (3) Vol. 11 …