Random walks and localized excitations on topologically one-dimensional random fractals, such as paths generated by simple random walks in d-dimensional lattices, are studied. These simple systems display a reach scenario of multifractal behavior in both the probability distribution of the random walks and the localization properties of the wave-functions. © 1992.
Roman, H. (1992). Multifractality of random walks and localized excitations on linear random fractals. PHYSICA. A, 191(1-4), 379-385 [10.1016/0378-4371(92)90554-4].
Multifractality of random walks and localized excitations on linear random fractals
Roman H. E.
1992
Abstract
Random walks and localized excitations on topologically one-dimensional random fractals, such as paths generated by simple random walks in d-dimensional lattices, are studied. These simple systems display a reach scenario of multifractal behavior in both the probability distribution of the random walks and the localization properties of the wave-functions. © 1992.
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