Effective Hamiltonians and Averaging for Hamiltonian Dynamics I

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Correctors for the homogenization of Hamilton‐Jacobi equations in the stationary ergodic setting (2003, background): “For an extensive discussion of the Mather theory and its relationship with viscosity solutions for periodic Hamiltonians, we refer the reader to [16, 17, 19, 29].”
Mean Field Games Models—A Brief Survey (2013, background): “Furthermore, at least formally (see, for instance, [32] or [16] for more precise statements) if one takes a probability measure solving, in the weak sense, div θD p H(x,Du) = 0 , then the measure μ given by is a minimal measure for (44).”
Singular Perturbations of Nonlinear Degenerate Parabolic PDEs: a General Convergence Result (2003, background): “Other contributions are [10, 28, 1, 38, 36, 2, 23, 24]; see also the references therein.”
Stochastic Homogenization of Level-Set Convex Hamilton–Jacobi Equations (2012, methodology): “[13] L. C. Evans and D. Gomes.”