English

Aubry-Mather theory on graphs

Dynamical Systems 2021-03-19 v2 Analysis of PDEs

Abstract

We formulate Aubry-Mather theory for Hamiltonians/Lagrangians defined on graphs and discuss its relationship with weak KAM theory developed in [24].

Cite

@article{arxiv.2102.11061,
  title  = {Aubry-Mather theory on graphs},
  author = {Antonio Siconolfi and Alfonso Sorrentino},
  journal= {arXiv preprint arXiv:2102.11061},
  year   = {2021}
}

Comments

51 pages

R2 v1 2026-06-23T23:24:11.790Z