TY - JOUR
T1 - Weak KAM theory for action minimizing random walks
AU - Soga, Kohei
N1 - Funding Information:
The author is supported by JSPS Grant-in-aid for Young Scientists #18K13443.
Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2021/10
Y1 - 2021/10
N2 - 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.
AB - 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.
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U2 - 10.1007/s00526-021-02025-2
DO - 10.1007/s00526-021-02025-2
M3 - Article
AN - SCOPUS:85111533775
SN - 0944-2669
VL - 60
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
IS - 5
M1 - 179
ER -