Long range trap models on Z and quasistable processes

W. Barreto-Souza, L. R. G. Fontes

Let $\mathcal{X}=\{{\mathcal{X}}_t:t\ge 0,{\mathcal{X}}_0=0\}$ be a mean zero $\beta$-stable random walk on $\mathbb{Z}$ with inhomogeneous jump rates $\{{\tau }_i^{-1}:i\in \mathbb{Z}\}$, wi…