Aubry-Mather theory on graphs

2021/02/22 by Antonio Siconolfi, Siconolfi, Antonio, Alfonso Sorrentino +1
Computer Science · Mathematics · #Analysis of PDEs (math.AP) #Computability, Logic, AI Algorithms #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AP #math.DS

paper · pdf · doi:10.48550/arxiv.2102.11061

51 pages

openalex publication_date 2021/02/22 · arxiv created 2021/03/18 · arxiv updated 2021/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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