Weak KAM theory for action minimizing random walks

被引：2

作者：

Soga, Kohei ^{[1
]}

机构：

[1] Keio Univ, Fac Sci & Technol, Dept Math, Kohoku Ku, 3-14-1 Hiyoshi, Yokohama, Kanagawa 2238522, Japan

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 60卷 / 05期

关键词：

37J50; 49L25; 60G50; 65M06; AUBRY-MATHER THEORY; EFFECTIVE-HAMILTONIANS; VARIATIONAL APPROACH; VISCOSITY SOLUTIONS; CONVERGENCE; APPROXIMATION; ORBITS; ANALOG; LIMIT; SETS;

D O I：

10.1007/s00526-021-02025-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：49

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