Weak Ergodicity Breaking in the Continuous-Time Random Walk

By G. Bel, Eli Barkai. 2005

228 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Weak Ergodicity Breaking of Receptor Motion in Living Cells Stemming from Random Diffusivity (2014, methodology): “T-MSDs of molecules performing CTRW show broadly scattered values, but are on average linear in the lag time tlag [39, 40], similar to our observation in Fig.”
L\'evy walks (2014, background): “The most pronounced effects of WEB can be observed for subdiffusive systems (Bel and Barkai, 2005; He et al., 2008; Lubelski et al., 2008), however, Lévy walks, as they may involve flight time distributions with infinite flight times, also exhibit WEB.”
Anomalous transport in the crowded world of biological cells (2013, background): “For CTRW such that the mean waiting is strictly infinite, the process never reaches equilibrium, no matter how remote the process has been initiated in the past [53, 68–70].”
Asymptotic properties of Brownian motion delayed by inverse subordinators (2013, background): “As a consequence, the so-called weak ergodicity breaking is observed; see [4].”