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We examine volatility of an Indian stock market in terms of aspects like participation, synchronization of stocks and quantification of volatility using the random matrix approach. Volatility pattern of the market is found using the BSE…

Physics and Society · Physics 2008-12-02 V. Kulkarni , N. Deo

Complex systems are often non-stationary, typical indicators are continuously changing statistical properties of time series. In particular, the correlations between different time series fluctuate. Models that describe the multivariate…

Disordered Systems and Neural Networks · Physics 2021-05-26 Thomas Guhr , Andreas Schell

We present cross and time series analysis of price fluctuations in the U.S. Treasury fixed income market. By means of techniques borrowed from statistical physics we show that the correlation among bonds depends strongly on the maturity and…

Statistical Mechanics · Physics 2008-12-10 M. Bernaschi , L. Grilli , L. Marangio , S. Succi , D. Vergni

Metastability is a phenomenon observed in stochastic systems which stay in a false-equilibrium within a region of its state space until the occurrence of a sequence of rare events that leads to an abrupt transition to a different region.…

General Economics · Economics 2023-12-18 Diego Marcondes , Adilson Simonis

Complex systems comprise a large number of interacting elements, whose dynamics is not always a priori known. In these cases -- in order to uncover their key features -- we have to turn to empirical methods, one of which was recently…

Physics and Society · Physics 2008-12-02 Janos Kertesz , Zoltan Eisler

We have analyzed the cross-correlations of daily fluctuations for N=6 358 US stock prices during the year 1999. From those $N(N-1)/2$ correlations coefficients, the Minimum Spanning Tree (MST) has been built. We have investigated the…

Statistical Mechanics · Physics 2007-05-23 N. Vandewalle , F. Brisbois , X. Tordoir

We construct a correlation matrix based financial network for a set of New York Stock Exchange (NYSE) traded stocks with stocks corresponding to nodes and the links between them added one after the other, according to the strength of the…

Physics and Society · Physics 2007-05-23 G. Tibely , J. -P. Onnela , J. Saramaki , K. Kaski , J. Kertesz

Time-varying volatility is an inherent feature of most economic time-series, which causes standard correlation estimators to be inconsistent. The quadrant correlation estimator is consistent but very inefficient. We propose a novel…

Econometrics · Economics 2023-11-01 Peter Reinhard Hansen , Yiyao Luo

We analyze a fixed panel of S\&P 500 stocks from 1996 to 2026 using complementary static and kinetic Ising models applied to daily binary open-to-close movements. The static pairwise model provides a long-run maximum-entropy summary of…

Applications · Statistics 2026-05-26 Sebin Oh , Marta C. Gonzáleza , Ziqi Wang

We introduce matrix H theory, a framework for analyzing collective behavior arising from multivariate stochastic processes with hierarchical structure. The theory models the joint distribution of the multiple variables (the measured signal)…

Statistical Finance · Quantitative Finance 2025-03-13 Luan M. T. de Moraes , Antônio M. S. Macedo , Raydonal Ospina , Giovani L. Vasconcelos

Financial networks have become extremely useful in characterizing the structure of complex financial systems. Meanwhile, the time evolution property of the stock markets can be described by temporal networks. We utilize the temporal network…

Statistical Finance · Quantitative Finance 2018-07-04 Longfeng Zhao , Gang-Jin Wang , Mingang Wang , Weiqi Bao , Wei Li , H. Eugene Stanley

The analysis of financial markets using models inspired by statistical physics offers a fruitful approach to understand collective and extreme phenomena [3, 14, 15] In this paper, we present a study based on a 2D Ising network model where…

Statistical Finance · Quantitative Finance 2025-12-23 Hernán Ezequiel Benítez , Claudio Oscar Dorso

Financial data has been extensively studied for correlations using Pearson's cross-correlation coefficient {\rho} as the point of departure. We employ an estimator based on recurrence plots --- the Correlation of Probability of Recurrence…

Statistical Finance · Quantitative Finance 2013-06-05 B. Goswami , G. Ambika , N. Marwan , J. Kurths

We present in this paper an empirical framework motivated by the practitioner point of view on stability. The goal is to both assess clustering validity and yield market insights by providing through the data perturbations we propose a…

Statistical Finance · Quantitative Finance 2015-09-21 Gautier Marti , Philippe Very , Philippe Donnat , Frank Nielsen

The cross-correlations between price fluctuations of 201 frequently traded stocks in the National Stock Exchange (NSE) of India are analyzed in this paper. We use daily closing prices for the period 1996-2006, which coincides with the…

Statistical Finance · Quantitative Finance 2012-01-11 Sitabhra Sinha , Raj Kumar Pan

Understanding the relationship between complexity and stability in large dynamical systems -- such as ecosystems -- remains a key open question in complexity theory which has inspired a rich body of work developed over more than fifty…

Populations and Evolution · Quantitative Biology 2021-07-14 Yvonne Krumbeck , Qian Yang , George W. A. Constable , Tim Rogers

An analysis of the stylized facts in financial time series is carried out. We find that, instead of the heavy tails in asset return distributions, the slow decay behaviour in autocorrelation functions of absolute returns is actually…

Statistical Finance · Quantitative Finance 2015-03-13 Jie-Jun Tseng , Sai-Ping Li

Drawing on recent contributions inferring financial interconnectedness from market data, our paper provides new insights on the evolution of the US financial industry over a long period of time by using several tools coming from network…

Physics and Society · Physics 2018-07-04 Yérali Gandica , Marco Valerio Geraci , Sophie Béreau , Jean-Yves Gnabo

Financial markets are a typical example of complex systems where interactions between constituents lead to many remarkable features. Here, we show that a pairwise maximum entropy model (or auto-logistic model) is able to describe switches…

Statistical Finance · Quantitative Finance 2014-01-28 Thomas Bury

We propose a novel method to quantify the clustering behavior in a complex time series and apply it to a high-frequency data of the financial markets. We find that regardless of used data sets, all data exhibits the volatility clustering…

Statistical Finance · Quantitative Finance 2008-12-02 Gabjin Oh , Seunghwan Kim , Cheoljun Eom , Taehyuk Kim
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