A hierarchical model for random walks in random media |
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| Authors: | Cláudio Paiva J Fernando Perez |
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| Institution: | (1) Instituto de Ciências Matemáticas de São Carlos, Universidade de São Paulo, 13560 São Carlos, SP, Brazil;(2) Instituto de Física, Universidade de São Paulo, 01498-970 São Paulo, SP, Brazil |
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| Abstract: | We show that the random walk generated by a hierarchical Laplacian in  d 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. |
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| Keywords: | Random walks random media hierarchical model |
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