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Over the last two decades, financial systems have been studied and analysed from the perspective of complex networks, where the nodes and edges in the network represent the various financial components and the strengths of correlations…

Statistical Finance · Quantitative Finance 2021-02-02 Areejit Samal , Sunil Kumar , Yasharth Yadav , Anirban Chakraborti

Pearson correlation and mutual information based complex networks of the day-to-day returns of US S&P500 stocks between 1985 and 2015 have been constructed in order to investigate the mutual dependencies of the stocks and their nature. We…

Statistical Finance · Quantitative Finance 2019-07-08 Alexander Haluszczynski , Ingo Laut , Heike Modest , Christoph Räth

The primary objective of this paper was to investigate whether the growth in the major US asset indices could be a function of the US broad money supply and/or US GDP, over the time period 2001 to 2019, using an information entropy…

Statistical Finance · Quantitative Finance 2021-06-15 Laurence Lacey

Prediction of events in financial markets is every investor's dream and, usually, wishful thinking. From a more general, economic and societal viewpoint, the identification of indicators for large events is highly desirable to assess…

Risk Management · Quantitative Finance 2022-08-11 Anton J. Heckens , Thomas Guhr

We analyse the structure of the distribution of eigenvalues of the stock market correlation matrix with increasing length of the time series representing the price changes. We use 100 highly-capitalized stocks from the American market and…

Physics and Society · Physics 2009-11-11 J. Kwapien , P. Oswiecimka , S. Drozdz

The temporal changes in complex systems of interactions have excited the research community in recent years as they encompass understandings on their dynamics and evolution. From the collective dynamics of organizations and online…

Social and Information Networks · Computer Science 2020-04-15 Hadar Miller , Osnat Mokryn

We consider a few quantities that characterize trading on a stock market in a fixed time interval: logarithmic returns, volatility, trading activity (i.e., the number of transactions), and volume traded. We search for the power-law…

Statistical Finance · Quantitative Finance 2016-01-20 Rafal Rak , Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka

We calculated the cross correlations between the half-hourly times series of the ten Dow Jones US economic sectors over the period February 2000 to August 2008, the two-year intervals 2002--2003, 2004--2005, 2008--2009, and also over 11…

Statistical Finance · Quantitative Finance 2015-05-20 Yiting Zhang , Gladys Hui Ting Lee , Jian Cheng Wong , Jun Liang Kok , Manamohan Prusty , Siew Ann Cheong

In this paper, we explore the detection of clusters of stocks that are in synergy in the Indian Stock Market and understand their behaviour in different circumstances. We have based our study on high frequency data for the year 2014. This…

Statistical Finance · Quantitative Finance 2019-03-11 Charu Sharma , Amber Habib

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

We propose a novel two-stage framework to detect lead-lag relationships in the Chinese A-share market. First, long-term coupling between stocks is measured via daily data using correlation, dynamic time warping, and rank-based metrics.…

Computational Finance · Quantitative Finance 2025-06-25 Jianyong Fang , Sitong Wu , Junfan Tong

The use of intelligent systems for stock market predictions has been widely established. In this paper, we investigate how the seemingly chaotic behavior of stock markets could be well represented using several connectionist paradigms and…

Artificial Intelligence · Computer Science 2007-05-23 Ajith Abraham , Ninan Sajith Philip , P. Saratchandran

We identify a robust structural signature of stock markets during exogenous shock events by analyzing collective return dynamics across G5 countries. Using Random Matrix Theory, we introduce the complexity gap, defined as the difference…

Statistical Finance · Quantitative Finance 2026-04-22 Kundan Mukhia , Imran Ansari , Md. Nurujjaman

We analyze cross-correlations between price fluctuations of different stocks using methods of random matrix theory (RMT). Using two large databases, we calculate cross-correlation matrices C of returns constructed from (i) 30-min returns of…

Statistical Mechanics · Physics 2009-11-07 V. Plerou , P. Gopikrishnan , B. Rosenow , L. A. N. Amaral , T. Guhr , H. E. Stanley

Summarized by the efficient market hypothesis, the idea that stock prices fully reflect all available information is always confronted with the behavior of real-world markets. While there is plenty of evidence indicating and quantifying the…

Physics and Society · Physics 2020-12-16 Luiz G. A. Alves , Higor Y. D. Sigaki , Matjaz Perc , Haroldo V. Ribeiro

We analyse the temporal changes in the cross correlations of returns on the New York Stock Exchange. We show that lead-lag relationships between daily returns of stocks vanished in less than twenty years. We have found that even for high…

Physics and Society · Physics 2009-01-11 Bence Toth , Janos Kertesz

Detailed analysis of the log-periodic structures as precursors of the financial crashes is presented. The study is mainly based on the German Stock Index (DAX) variation over the 1998 period which includes both, a spectacular boom and a…

Condensed Matter · Physics 2009-10-31 S. Drozdz , F. Ruf , J. Speth , M. Wojcik

By combining (i) the economic theory of rational expectation bubbles, (ii) behavioral finance on imitation and herding of investors and traders and (iii) the mathematical and statistical physics of bifurcations and phase transitions, the…

Statistical Finance · Quantitative Finance 2010-07-08 Zhi-Qiang Jiang , Wei-Xing Zhou , Didier Sornette , Ryan Woodard , Ken Bastiaensen , Peter Cauwels

Empirical diagnosis of stability has received considerable attention, mostly focused on variance metrics for early warning signals of abrupt system change. Despite this, the theoretical foundation and application has been limited to…

Adaptation and Self-Organizing Systems · Physics 2020-09-11 Zachary C Williams , Dylan E McNamara

This paper suggests that business cycles may be a manifestation of coupled real economy and stock market dynamics and describes a mechanism that can generate economic fluctuations consistent with observed business cycles. To this end, we…

General Finance · Quantitative Finance 2019-09-27 Dimitri Kroujiline , Maxim Gusev , Dmitry Ushanov , Sergey V. Sharov , Boris Govorkov
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