Physical approach to complex systems

J Kwapień, S Drożdż - Physics Reports, 2012 - Elsevier
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 …

A review of two decades of correlations, hierarchies, networks and clustering in financial markets

G Marti, F Nielsen, M Bińkowski, P Donnat - Progress in information …, 2021 - Springer
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 …

Correlation of financial markets in times of crisis

LS Junior, IDP Franca - Physica A: Statistical Mechanics and its …, 2012 - Elsevier
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 …

Correlation, hierarchies, and networks in financial markets

M Tumminello, F Lillo, RN Mantegna - Journal of economic behavior & …, 2010 - Elsevier
We discuss some methods to quantitatively investigate the properties of correlation matrices.
Correlation matrices play an important role in portfolio optimization and in several other …

Correlation and network analysis of global financial indices

S Kumar, N Deo - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
Random matrix theory (RMT) and network methods are applied to investigate the correlation
and network properties of 20 financial indices. The results are compared before and during …

Financial applications of random matrix theory: Old laces and new pieces

M Potters, JP Bouchaud, L Laloux - arXiv preprint physics/0507111, 2005 - arxiv.org
This contribution to the proceedings of the Cracow meeting onApplications of Random
Matrix Theory'summarizes a series of studies, some old and others more recent on financial …

Spanning trees and bootstrap reliability estimation in correlation-based networks

M Tumminello, C Coronnello, F Lillo… - … Journal of Bifurcation …, 2007 - World Scientific
We introduce a new technique to associate a spanning tree to the average linkage cluster
analysis. We term this tree as the Average Linkage Minimum Spanning Tree. We also …

Development of stock correlation networks using mutual information and financial big data

X Guo, H Zhang, T Tian - PloS one, 2018 - journals.plos.org
Stock correlation networks use stock price data to explore the relationship between different
stocks listed in the stock market. Currently this relationship is dominantly measured by the …

Global and local features of semantic networks: Evidence from the Hebrew mental lexicon

YN Kenett, DY Kenett, E Ben-Jacob, M Faust - PloS one, 2011 - journals.plos.org
Background Semantic memory has generated much research. As such, the majority of
investigations have focused on the English language, and much less on other languages …

Correlation study of the Athens stock exchange

A Garas, P Argyrakis - Physica A: Statistical Mechanics and its Applications, 2007 - Elsevier
We study the year-after-year properties of three different portfolios traded in the Athens Stock
Exchange (ASE) for the time period 1987–2004. We use the minimum spanning tree (MST) …