Homogenization of stable-like operators with random, ergodic coefficients

Tomasz Klimsiak, Tomasz Komorowski, Lorenzo Marino

We show homogenization for a family of ${\mathbb{R}}^d$-valued stable-like processes $(X_t^{\hat{I}\mu ;\hat{I}¸}{)}_{t\ge 0}$, $\hat{I}\mu \in (0,1]$, whose (random) Fourier symbols equal $q_ε(x,ξ;θ)=\frac…