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 $(X_t^{\epsilon ;\theta }{)}_{t\ge 0}$, $\epsilon \in (0,1]$, whose (random) Fourier symbols equal $q_ε(x,ξ;θ)=\frac{1}{ε^…