770 citations · 5.2k across the 56 of their papers we have counts for
9 papers · 1 filter
First-passage times in complex scale-invariant media
S. Condamin, O. Benichou, V. Tejedor +2
How long does it take a random walker to reach a given target point? This quantity, known as a first passage time (FPT), has led to a growing number of theoretical investigations o…
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…
Leapover lengths and first passage time statistics for Lévy flights
Tal Koren, Michael A. Lomholt, Aleksei V. Chechkin +2
Exact results for the first passage time and leapover statistics of symmetric and one-sided Levy flights (LFs) are derived. LFs with stable index alpha are shown to have leapover l…
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…
Closed-form solutions for continuous time random walks on finite chains
Ophir Flomenbom, Joseph Klafter
Continuous time random walks (CTRW) on finite arbitrarily inhomogeneous chains are studied. By introducing a technique of counting all possible trajectories, we derive closed-form…