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

Tipping points in complex systems are structural transitions from one state to another. In
financial markets these critical points are connected to systemic risks, which have led to …

We propose a general framework to study the stability of the subspace spanned by P
consecutive eigenvectors of a generic symmetric matrix H 0 when a small perturbation is …

We establish several new stylized facts concerning the intra-day seasonalities of stock
dynamics. Beyond the well-known U-shaped pattern of the volatility, we find that the average …

The claim of Cambridge Analytica, a political consulting firm, that it was possible to influence
voting behavior by using data mined from the social platform Facebook created a sudden …

We revisit the index leverage effect, that can be decomposed into a volatility effect and a
correlation effect. We investigate the latter using a matrix regression analysis, that we call …

The relationship between a market index and its constituent stocks is complicated. While an
index is a weighted average of its constituent stocks, when the investigated time scale is one …

Financial markets are modular multi-level systems, in which the relationships between the
individual components are not constant in time. Sudden changes in these relationships …

The word “socio-finance” used in the title of this book is meant as a description that catches
the underlying nature of price formation in financial markets. Since the term as such does not …