Weak KAM theory for action minimizing random walks

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1 Citation (Scopus)


We introduce a class of controlled random walks on a grid in Td and investigate global properties of action minimizing random walks for a certain action functional together with Hamilton–Jacobi equations on the grid. This yields an analogue of weak KAM theory, which recovers a part of original weak KAM theory through the hyperbolic scaling limit.

Original languageEnglish
Article number179
JournalCalculus of Variations and Partial Differential Equations
Issue number5
Publication statusPublished - 2021 Oct

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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