145 citations · 319 across the 14 of their papers we have counts for
9 papers · 1 filter
Power-Law Distributions: Beyond Paretian Fractality
Iddo Eliazar, Joseph Klafter
The notion of fractality, in the context of positive-valued probability distributions, is conventionally associated with the class of Paretian probability laws. In this research we…
Number of distinct sites visited by a subdiffusive random walker
Santos Bravo Yuste, J. Klafter, Katja Lindenberg
The asymptotic mean number of distinct sites visited by a subdiffusive continuous time random walker in two dimensions seems not to have been explicitly calculated anywhere in the…
The advantage of Lévy strategies in intermittent search processes
Michael A. Lomholt, Tal Koren, Ralf Metzler +1
Search strategies based on random walk processes with long-tailed jump length distributions (Levy walks) on the one hand and intermittent behavior switching between local search an…
Lévy Statistics and Anomalous Transport: Lévy flights and Subdiffusion
Ralf Metzler, Aleksei V. Chechkin, Joseph Klafter
Levy flights and subdiffusive processes and their properties are discussed. We derive the space- and time-fractional transport equations, and consider their solutions in external p…
Barrier crossing driven by Levy noise: Universality and the Role of Noise Intensity
Aleksei V. Chechkin, Oleksii Yu. Sliusarenko, Ralf Metzler +1
We study the barrier crossing of a particle driven by white symmetric Levy noise of index and intensity $DD for three different generic types of potentials: (a) a bistable pote…
Distributed-Order Fractional Kinetics
I. M. Sokolov, A. V. Chechkin, J. Klafter
Fractional diffusion equations are widely used to describe anomalous diffusion processes where the characteristic displacement scales as a power of time. For processes lacking such…