2005
//
Statistical Physics

Multiscaling and non-universality in fluctuations of driven complex systems

Abstract
For many externally driven complex systems neither the noisy driving force, nor the internal dynamics are a priori known. Here we focus on systems for which the timedependent activity of a large number of components can be monitored, allowing us to separate each signal into a component attributed to the external driving force and one to the internal dynamics. We propose a formalism to capture the potential multiscaling in the fluctuations and apply it to the high-frequency trading records of the New York Stock Exchange. We find that on the time scale of minutes the dynamics is governed by internal processes, while on a daily or longer scale the external factors dominate. This transition from internal to external dynamics induces systematic changes in the scaling exponents, offering direct evidence of non-universality in the system.

..

More publications
Federico Battiston, Federico Musciotto, Dashun Wang, Albert-László Barabási, Michael Szell, and Roberta Sinatra

Nature Reviews Physics 1, 89-97 (2019)

view
A. Czirok, A.-L. Barabási, T. Vicsek

Physical Review Letters 82, 209–212 (1999)

view
R. Albert, M.A. Pfeifer, P. Schiffer, A.-L. Barabási

Physical Review Letters 82, 205–208 (1999)

view