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Название: A Hierarchical Model for Random Walks in Random Media
Авторы: Paiva C., Perez J.
We show that the random walk generated by a hierarchical Laplacian in Z a has standard diffusive behavior. Moreover, we show that this behavior is stable under a class of random perturbations that resemble an off-diagonal disordered lattice Laplacian. The density of states and its asymptotic behavior around zero energy are computed: singularities appear in one and two dimensions