Multifractality is ubiquitously observed in complex natural and socioeconomic systems.
Multifractal analysis provides powerful tools to understand the complex nonlinear nature of …

In finance, one usually deals not with prices but with growth rates R, defined as the
difference in logarithm between two consecutive prices. Here we consider not the trading …

Complex systems consist of many interacting elements which participate in some dynamical
process. The activity of various elements is often different and the fluctuation in the activity of …

In this review article we present some of achievements of econophysics and sociophysics
which appear to us the most significant. We briefly explain what their roles are in building of …

Understanding correlations in complex systems is crucial in the face of turbulence, such as
the ongoing financial crisis. However, in complex systems, such as financial systems …

Understanding the complex nature of financial markets remains a great challenge,
especially in light of the most recent financial crisis. Recent studies have investigated large …

For an intriguing variety of switching processes in nature, the underlying complex system
abruptly changes from one state to another in a highly discontinuous fashion. Financial …

Identifying the scaling rules describing ecological patterns across time and space is a
central challenge in ecology. Taylor's law of fluctuation scaling, which states that the …

Many transport processes on networks depend crucially on the underlying network
geometry, although the exact relationship between the structure of the network and the …

This book is a course in methods and models rooted in physics and used in modelling
economic and social phenomena. It covers the discipline of econophysics, which creates an …