The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
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 …
forged into a mature framework in the theory of stochastic processes. A large number of …
Maximizing information exchange between complex networks
BJ West, EL Geneston, P Grigolini - Physics Reports, 2008 - Elsevier
Science is not merely the smooth progressive interaction of hypothesis, experiment and
theory, although it sometimes has that form. More realistically the scientific study of any …
theory, although it sometimes has that form. More realistically the scientific study of any …
Aging renewal theory and application to random walks
We discuss a renewal process in which successive events are separated by scale-free
waiting time periods. Among other ubiquitous long-time properties, this process exhibits …
waiting time periods. Among other ubiquitous long-time properties, this process exhibits …
Anomalous diffusion originated by two Markovian hopping-trap mechanisms
We show through intensive simulations that the paradigmatic features of anomalous
diffusion are indeed the features of a (continuous-time) random walk driven by two different …
diffusion are indeed the features of a (continuous-time) random walk driven by two different …
Aging correlation functions for blinking nanocrystals, and other on–off stochastic processes
G Margolin, E Barkai - The Journal of chemical physics, 2004 - pubs.aip.org
Following recent experiments on power law blinking behavior of single nanocrystals, we
calculate two-time intensity correlation functions< I (t) I (t+ t′)> for these systems. We use a …
calculate two-time intensity correlation functions< I (t) I (t+ t′)> for these systems. We use a …
Biased continuous-time random walks for ordinary and equilibrium cases: facilitation of diffusion, ergodicity breaking and ageing
We examine renewal processes with power-law waiting time distributions (WTDs) and non-
zero drift via computing analytically and by computer simulations their ensemble and time …
zero drift via computing analytically and by computer simulations their ensemble and time …
Structure of completely positive quantum master equations with memory kernel
HP Breuer, B Vacchini - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
Semi-Markov processes represent a well-known and widely used class of random
processes in classical probability theory. Here, we develop an extension of this type of non …
processes in classical probability theory. Here, we develop an extension of this type of non …
[图书][B] Crucial events: why are catastrophes never expected?
BJ West, P Grigolini - 2021 - World Scientific
The Industrial Age began its transition into the Information Age with the end of the Second
World War, which is probably as good a road sign as any other to mark its beginning, and …
World War, which is probably as good a road sign as any other to mark its beginning, and …
Fluorescence intermittency in blinking quantum dots: Renewal or slow modulation?
We study the time series produced by blinking quantum dots, by means of an aging
experiment, and we examine the results of this experiment in the light of two distinct …
experiment, and we examine the results of this experiment in the light of two distinct …
Random walk to a nonergodic equilibrium concept
G Bel, E Barkai - Physical Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
Random walk models, such as the trap model, continuous time random walks, and comb
models, exhibit weak ergodicity breaking, when the average waiting time is infinite. The …
models, exhibit weak ergodicity breaking, when the average waiting time is infinite. The …