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The concept of states of financial markets based on correlations has gained increasing attention during the last 10 years. We propose to retrace some important steps up to 2018, and then give a more detailed view of recent developments that…

Statistical Finance · Quantitative Finance 2021-07-14 Hirdesh K. Pharasi , Suchetana Sadhukhan , Parisa Majari , Anirban Chakraborti , Thomas H. Seligman

Factor models characterize the joint behavior of large sets of financial assets through a smaller number of underlying drivers. We develop a network-based framework in which factors emerge naturally from the structure of interactions among…

Computational Finance · Quantitative Finance 2026-04-15 Jose Negrete , Jaime Joel Ramos

As individuals communicate, their exchanges form a dynamic network. We demonstrate, using time series analysis of communication in three online settings, that network structure alone can be highly revealing of the diversity and novelty of…

Social and Information Networks · Computer Science 2012-05-23 Chun-Yuen Teng , Liuling Gong , Avishay Livne , Celso Brunetti , Lada A. Adamic

We follow up on the study of correlations between GDP's of rich countries. We analyze web-downloaded data on GDP that we use as individual wealth signatures of the country economical state. We calculate the yearly fluctuations of the GDP.…

Physics and Society · Physics 2012-09-25 M. Ausloos , R. Lambiotte

This paper introduces a comprehensive framework for Financial Information Theory by applying information-theoretic concepts such as entropy, Kullback-Leibler divergence, mutual information, normalized mutual information, and transfer…

Portfolio Management · Quantitative Finance 2025-11-21 Miquel Noguer i Alonso

We show that financial correlations exhibit a non-trivial dynamic behavior. We introduce a simple phenomenological model of a multi-asset financial market, which takes into account the impact of portfolio investment on price dynamics. This…

Physics and Society · Physics 2009-11-11 Giacomo Raffaelli , Matteo Marsili

The cross correlation matrix between equities comprises multiple interactions between traders with varying strategies and time horizons. In this paper, we use the Maximum Overlap Discrete Wavelet Transform to calculate correlation matrices…

Statistical Finance · Quantitative Finance 2010-01-05 Thomas Conlon , Heather J. Ruskin , Martin Crane

We investigate the emergence of a structure in the correlation matrix of assets' returns as the time-horizon over which returns are computed increases from the minutes to the daily scale. We analyze data from different stock markets (New…

Physics and Society · Physics 2010-12-08 Christian Borghesi , Matteo Marsili , Salvatore Miccichè

The financial markets are understood as complex dynamical systems whose dynamics is analysed mostly using nonstationary and brief data sets that usually come from stock markets. For such data sets, a reliable method of analysis is based on…

Statistical Finance · Quantitative Finance 2022-11-23 Krishnadas M. , K. P. Harikrishnan , G. Ambika

Node centrality is one of the most important and widely used concepts in the study of complex networks. Here, we extend the paradigm of node centrality in financial and economic networks to consider the changes of node "importance" produced…

Mathematical Finance · Quantitative Finance 2020-06-05 Paolo Bartesaghi , Michele Benzi , Gian Paolo Clemente , Rosanna Grassi , Ernesto Estrada

In this article the problem of reconstructing the pattern of connection between agents from partial empirical data in a macro-economic model is addressed, given a set of behavioral equations. This systemic point of view puts the focus on…

General Economics · Economics 2019-01-30 Aurélien Hazan

We analyze the daily stock data of the Nasdaq Composite index in the 22-year period 1992-2013 and identify market states as clusters of correlation matrices with similar correlation structures. We investigate the stability of the…

Statistical Finance · Quantitative Finance 2015-06-22 Desislava Chetalova , Rudi Schäfer , Thomas Guhr

Sustainable financial markets play an important role in the functioning of human society. Still, the detection and prediction of risk in financial markets remain challenging and draw much attention from the scientific community. Here we…

Physics and Society · Physics 2018-11-27 Jingfang Fan , Keren Cohen , Louis M. Shekhtman , Sibo Liu , Jun Meng , Yoram Louzoun , Shlomo Havlin

Great research efforts have been devoted to exploiting deep neural networks in stock prediction. While long-range dependencies and chaotic property are still two major issues that lower the performance of state-of-the-art deep learning…

Statistical Finance · Quantitative Finance 2021-11-02 Junran Wu , Ke Xu , Xueyuan Chen , Shangzhe Li , Jichang Zhao

We use a new method of studying the Hurst exponent with time and scale dependency. This new approach allow us to recover the major events affecting worldwide markets (such as the September 11th terrorist attack) and analyze the way those…

Data Analysis, Statistics and Probability · Physics 2007-05-23 J. A. O. Matos , S. M. A. Gama , H. J. Ruskin , A. Sharkasi , M. Crane

Detailed study of the financial empirical correlation matrix of the 30 companies comprised by DAX within the period of the last 11 years, using the time-window of 30 trading days, is presented. This allows to clearly identify a nontrivial…

Statistical Mechanics · Physics 2009-10-31 S. Drozdz , F. Gruemmer , F. Ruf , J. Speth

The aim of this work is to build financial crisis indicators based on spectral properties of the dynamics of market data. After choosing an optimal size for a rolling window, the historical market data in this window is seen every trading…

Mathematical Finance · Quantitative Finance 2017-09-11 Antoine Kornprobst , Raphael Douady

The econophysics approach to socio-economic systems is based on the assumption of their complexity. Such assumption inevitably lead to another assumption, namely that underlying interconnections within socio-economic systems, particularly…

Statistical Finance · Quantitative Finance 2023-07-19 Paweł Fiedor

Decisions taken in our everyday lives are based on a wide variety of information so it is generally very difficult to assess what are the strategies that guide us. Stock market therefore provides a rich environment to study how people take…

General Finance · Quantitative Finance 2016-09-28 Mario Gutiérrez-Roig , Carlota Segura , Jordi Duch , Josep Perelló

We report evidence of a deep interplay between cross-correlations hierarchical properties and multifractality of New York Stock Exchange daily stock returns. The degree of multifractality displayed by different stocks is found to be…

Statistical Finance · Quantitative Finance 2014-04-10 Raffaello Morales , T. Di Matteo , Tomaso Aste
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