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.
|Journal||Calculus of Variations and Partial Differential Equations|
|Publication status||Published - 2021 Oct|
ASJC Scopus subject areas
- Applied Mathematics