Homogenization theorems are established for general nonlocal operators with oscillating coefficients in periodic and stochastic settings via Gamma-convergence, extended to nonlinear cases.
Backward stochastic differential equations and Feynman-Kac formula for Lévy processes, with applications in finance.Bernoulli, 7(5):761–776, 2001
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Periodic and stochastic homogenization of general nonlocal operators with oscillating coefficients
Homogenization theorems are established for general nonlocal operators with oscillating coefficients in periodic and stochastic settings via Gamma-convergence, extended to nonlinear cases.