2.3k citations · 6.5k across the 26 of their papers we have counts for
5 papers · 1 filter
Cover time for random walks on arbitrary complex networks
Benjamin F. Maier, Dirk Brockmann
We present an analytical method for computing the mean cover time of a random walk process on arbitrary, complex networks. The cover time is defined as the time a random walker req…
Accelerating random walks by disorder
Vitaly Belik, Dirk Brockmann
We investigate the dynamic impact of heterogeneous environments on superdiffusive random walks known as Lévy flights. We devote particular attention to the relative weight of sourc…
The scaling laws of human travel
D. Brockmann, L. Hufnagel, T. Geisel
The dynamic spatial redistribution of individuals is a key driving force of various spatiotemporal phenomena on geographical scales. It can synchronise populations of interacting s…
Particle Dispersion on Rapidly Folding Random Hetero-Polymers
D. Brockmann, T. Geisel
We investigate the dynamics of a particle moving randomly along a disordered hetero-polymer subjected to rapid conformational changes which induce superdiffusive motion in chemical…
Levy Flights in External Force Fields: From Models to Equations
Dirk Brockmann, Igor Sokolov
We consider different generalizations of the Fokker-Planck-equation devised to describe Levy processes in potential force fields. We show that such generalizations can proceed alon…