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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 2-year period 1994-95 and (ii) 1-day price fluctuations…

Statistical Mechanics · Physics 2008-12-02 Parameswaran Gopikrishnan , Bernd Rosenow , Vasiliki Plerou , H. Eugene Stanley

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

Using data from world stock exchange indices prior to and during periods of global financial crises, clusters and networks of indices are built for different thresholds and diverse periods of time, so that it is then possible to analyze how…

Statistical Finance · Quantitative Finance 2014-09-02 Leonidas Sandoval Junior

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

We study the dynamic interactions and structural changes in global financial indices in the years 1998-2012. We apply a principal component analysis (PCA) to cross-correlation coefficients of the stock indices. We calculate the correlations…

Physics and Society · Physics 2016-02-17 Ashadun Nobi , Jae Woo Lee

We propose improved methods to identify stock groups using the correlation matrix of stock price changes. By filtering out the marketwide effect and the random noise, we construct the correlation matrix of stock groups in which nontrivial…

Physics and Society · Physics 2008-12-02 Dong-Hee Kim , Hawoong Jeong

This paper analyzes correlations in patterns of trading of different members of the London Stock Exchange. The collection of strategies associated with a member institution is defined by the sequence of signs of net volume traded by that…

Statistical Finance · Quantitative Finance 2009-11-13 Ilija I. Zovko , J. Doyne Farmer

This paper introduces new methods to study behaviours among the 52 largest cryptocurrencies between 01-01-2019 and 30-06-2021. First, we explore evolutionary correlation behaviours and apply a recently proposed turning point algorithm to…

Statistical Finance · Quantitative Finance 2022-11-15 Nick James , Max Menzies

We study the dynamic evolution of cross-correlations in the Chinese stock market mainly based on the random matrix theory (RMT). The correlation matrices constructed from the return series of 367 A-share stocks traded on the Shanghai Stock…

Statistical Finance · Quantitative Finance 2017-02-08 Fei Ren , Wei-Xing Zhou

The decision process requires information about the present state of the system, but in economy acquiring data and processing them is an expensive and time consuming process. Therefore the state of the system is measured and announced at…

Physics and Society · Physics 2007-09-21 Janusz Miskiewicz

This work introduces a new framework for modeling financial markets through an interpretable probabilistic state machine. By clustering historical returns based on momentum and risk features across multiple time horizons, we identify…

Computational Engineering, Finance, and Science · Computer Science 2025-10-02 Christian Oliva , Silviu Gabriel Tinjala

This paper studies the time-varying structure of the equity market with respect to market capitalization. First, we analyze the distribution of the 100 largest companies' market capitalizations over time, in terms of inequality,…

Mathematical Finance · Quantitative Finance 2025-02-21 Nick James , Max Menzies

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 quantitative descriptions of asset price dynamics in…

Statistical Finance · Quantitative Finance 2010-08-25 M. Tumminello , F. Lillo , R. N. Mantegna

Financial markets are complex adaptive systems characterized by collective behavior and abrupt regime shifts, particularly during crises. This paper studies time-varying dependencies in Nordic equity markets and examines whether…

Portfolio Management · Quantitative Finance 2026-01-13 Maksym A. Girnyk

We map stock market interactions to spin models to recover their hierarchical structure using a simulated annealing based Super-Paramagnetic Clustering (SPC) algorithm. This is directly compared to a modified implementation of a maximum…

Computational Finance · Quantitative Finance 2020-06-23 Lionel Yelibi , Tim Gebbie

This paper develops new mathematical techniques to identify temporal shifts among a collection of US equities partitioned into a new and more detailed set of market sectors. Although conceptually related, our three analyses reveal distinct…

Statistical Finance · Quantitative Finance 2024-07-11 Nick James , Max Menzies

We present a new method for articulating scale-dependent topological descriptions of the network structure inherent in many complex systems. The technique is based on "Partition Decoupled Null Models,'' a new class of null models that…

Pricing of Securities · Quantitative Finance 2011-04-22 Greg Leibon , Scott D. Pauls , Daniel N. Rockmore , Robert Savell

This article investigates the correlation structure of the global crude oil market using the daily returns of 71 oil price time series across the world from 1992 to 2012. We identify from the correlation matrix six clusters of time series…

Statistical Finance · Quantitative Finance 2016-11-08 Yue-Hua Dai , Wen-Jie Xie , Zhi-Qiang Jiang , George J. Jiang , Wei-Xing Zhou

A novel application of the correlation matrix formalism to study dynamics of the financial evolution is presented. This formalism allows to quantify the memory effects as well as some potential repeatable intradaily structures in the…

Soft Condensed Matter · Physics 2009-11-07 S. Drozdz , J. Kwapien , F. Gruemmer , F. Ruf , J. Speth

Characterizing temporal evolution of stock markets is a fundamental and challenging problem. The literature on analyzing the dynamics of the markets has focused so far on macro measures with less predictive power. This paper addresses this…

Disordered Systems and Neural Networks · Physics 2021-12-09 Xin-Jian Xu , Qin Min , Xiao-Ying Song , Li-Jie Zhang