Modern financial markets are characterized by a rapid flow of information, a vast number of
participants having diversified investment horizons, and multiple feedback mechanisms …

Typically, complex systems are natural or social systems which consist of a large number of
nonlinearly interacting elements. These systems are open, they interchange information or …

The time dependence of the recently introduced minimum spanning tree description of
correlations between stocks, called the “asset tree” has been studied in order to reflect the …

Using the eigenvalues and eigenvectors of correlations matrices of some of the main
financial market indices in the world, we show that high volatility of markets is directly linked …

We review the state of the art of clustering financial time series and the study of their
correlations alongside other interaction networks. The aim of the review is to gather in one …

The minimum spanning tree, based on the concept of ultrametricity, is constructed from the
correlation matrix of stock returns. The dynamics of this asset tree can be characterised by its …

We investigate the daily correlation present among market indices of stock exchanges
located all over the world in the time period January 1996 to July 2009. We discover that the …

The concept of biological adaptation was closely connected to some mathematical,
engineering and physical ideas from the very beginning. Cannon in his “The wisdom of the …

Firms having similar business activities are correlated. We analyze two different cross-
correlation matrices C constructed from (i) 30-min price fluctuations of 1000 US stocks for the …

Sequential portfolio selection has attracted increasing interest in the machine learning and
quantitative finance communities in recent years. As a mathematical framework for …