| Abstract: |
| We consider the periodic homogenization of non-symmetric pure jump processes ($\alpha$-stable-like processes with $1\lt \alpha\lt 2$) on a bounded $C^{1,1}$ domain of $\mathbb{R}^d$. Under appropriate conditions on the jumping kernels, we establish the Mosco-Hino convergence of the corresponding semi-Dirichlet forms. By exploiting the asymptotic decoupling of microscopic fluctuations, our unified framework bypasses the technical difficulties associated with explicit correctors. |
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