The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

R Metzler, J Klafter - Journal of Physics A: Mathematical and …, 2004 - iopscience.iop.org
Fractional dynamics has experienced a firm upswing during the past few years, having been
forged into a mature framework in the theory of stochastic processes. A large number of …

A toolbox for determining subdiffusive mechanisms

Y Meroz, IM Sokolov - Physics Reports, 2015 - Elsevier
Subdiffusive processes have become a field of great interest in the last decades, due to
amounting experimental evidence of subdiffusive behavior in complex systems, and …

Perspective: Ultrafast magnetism and THz spintronics

J Walowski, M Münzenberg - Journal of Applied Physics, 2016 - pubs.aip.org
This year the discovery of femtosecond demagnetization by laser pulses is 20 years old. For
the first time, this milestone work by Bigot and coworkers gave insight directly into the time …

The hidden geometry of complex, network-driven contagion phenomena

D Brockmann, D Helbing - science, 2013 - science.org
The global spread of epidemics, rumors, opinions, and innovations are complex, network-
driven dynamic processes. The combined multiscale nature and intrinsic heterogeneity of …

Saving human lives: What complexity science and information systems can contribute

D Helbing, D Brockmann, T Chadefaux… - Journal of statistical …, 2015 - Springer
We discuss models and data of crowd disasters, crime, terrorism, war and disease
spreading to show that conventional recipes, such as deterrence strategies, are often not …

The scaling laws of human travel

D Brockmann, L Hufnagel, T Geisel - Nature, 2006 - nature.com
The dynamic spatial redistribution of individuals is a key driving force of various
spatiotemporal phenomena on geographical scales. It can synchronize populations of …

Time–space fabric underlying anomalous diffusion

W Chen - Chaos, Solitons & Fractals, 2006 - Elsevier
This study unveils the time–space transforms underlying anomalous diffusion process.
Based on this finding, we present the two hypotheses concerning the effect of fractal time …

First passage and arrival time densities for Lévy flights and the failure of the method of images

AV Chechkin, R Metzler, VY Gonchar… - Journal of Physics A …, 2003 - iopscience.iop.org
We discuss the first passage time problem in the semi-infinite interval, for homogeneous
stochastic Markov processes with Lévy stable jump length distributions λ (x)∼ ℓ α/| x| 1+ α …

Human stick balancing: tuning Lévy flights to improve balance control

JL Cabrera, JG Milton - Chaos: An Interdisciplinary Journal of …, 2004 - pubs.aip.org
State-dependent, or parametric, noise is an essential component of the neural control
mechanism for stick balancing at the fingertip. High-speed motion analysis in three …

Human mobility and spatial disease dynamics

D Brockmann - Reviews of nonlinear dynamics and complexity, 2009 - Wiley Online Library
In our globalized world, mobility and traffic have reached a complexity and volume of
unprecedented degree. More than 60 million people travel billions of miles on more than 2 …