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It is suggested to consider long term trends of financial markets as a growth phenomenon. The question that is asked is what conditions are needed for a long term sustainable growth or contraction in a financial market? The paper discuss…

Statistical Mechanics · Physics 2008-12-02 Jorgen Vitting Andersen

We investigate the daily correlation present among market indices of stock exchanges located all over the world in the time period Jan 1996 - Jul 2009. We discover that the correlation among market indices presents both a fast and a slow…

Statistical Finance · Quantitative Finance 2011-08-16 Dong-Ming Song , Michele Tumminello , Wei-Xing Zhou , Rosario N. Mantegna

Stock price change in financial market occurs through transactions in analogy with diffusion in stochastic physical systems. The analysis of price changes in real markets shows that long-range correlations of price fluctuations largely…

Statistical Mechanics · Physics 2008-12-10 V. Gontis

Traditional stock market prediction approaches commonly utilize the historical price-related data of the stocks to forecast their future trends. As the Web information grows, recently some works try to explore financial news to improve the…

Social and Information Networks · Computer Science 2018-01-03 Xi Zhang , Yunjia Zhang , Senzhang Wang , Yuntao Yao , Binxing Fang , Philip S. Yu

Universal features in stock markets and their derivative markets are studied by means of probability distributions in internal rates of return on buy and sell transaction pairs. Unlike the stylized facts in log normalized returns, the…

Information Theory · Computer Science 2009-11-11 Lukas Pichl , Taisei Kaizoji , Takuya Yamano

Spin models of markets inspired by physics models of magnetism, as the Ising model, allow for the study of the collective dynamics of interacting agents in a market. The number of possible states has been mostly limited to two (buy or sell)…

Physics and Society · Physics 2021-12-14 Stefan Bornholdt

Single index financial market models cannot account for the empirically observed complex interactions between shares in a market. We describe a multi-share financial market model and compare characteristics of the volatility, that is the…

Condensed Matter · Physics 2009-10-31 Adam Ponzi

As a model of market price, we introduce a new type of random walk in a moving potential which is approximated by a quadratic function with its center given by the moving average of its own trace. The properties of resulting random walks…

Physics and Society · Physics 2008-12-02 Misako Takayasu , Takayuki Mizuno , Hideki Takayasu

We present an empirical study of the subordination hypothesis for a stochastic time series of a stock price. The fluctuating rate of trading is identified with the stochastic variance of the stock price, as in the continuous-time random…

Physics and Society · Physics 2008-12-02 A. Christian Silva , Victor M. Yakovenko

Financial event studies, ubiquitous in finance research, typically use linear factor models with known factors to estimate abnormal returns and identify causal effects of information events. This paper demonstrates that when factor models…

Econometrics · Economics 2025-11-20 Paul Goldsmith-Pinkham , Tianshu Lyu

Using Trades and Quotes data from the Paris stock market, we show that the random walk nature of traded prices results from a very delicate interplay between two opposite tendencies: long-range correlated market orders that lead to…

Statistical Mechanics · Physics 2008-12-02 Jean-Philippe Bouchaud , Yuval Gefen , Marc Potters , Matthieu Wyart

Technical trading represents a class of investment strategies for Financial Markets based on the analysis of trends and recurrent patterns of price time series. According standard economical theories these strategies should not be used…

Statistical Finance · Quantitative Finance 2011-10-25 Federico Garzarelli , Matthieu Cristelli , Andrea Zaccaria , Luciano Pietronero

The concepts of scale invariance, self-similarity and scaling have been fruitfully applied to the study of price fluctuations in financial markets. After a brief review of the properties of stable Levy distributions and their applications…

Statistical Mechanics · Physics 2008-12-02 Rama Cont , Marc Potters , Jean-Philippe Bouchaud

The stock market is a crucial component of the financial market, playing a vital role in wealth accumulation for investors, financing costs for listed companies, and the stable development of the national macroeconomy. Significant…

Trading and Market Microstructure · Quantitative Finance 2024-02-28 Jiajian Zheng , Duan Xin , Qishuo Cheng , Miao Tian , Le Yang

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

We propose a group model for correlations in stock markets. In the group model the markets are composed of several groups, within which the stock price fluctuations are correlated. The spectral properties of empirical correlation matrices…

Statistical Mechanics · Physics 2009-10-31 Jae Dong Noh

We establish several new stylised facts concerning the intra-day seasonalities of stock dynamics. Beyond the well known U-shaped pattern of the volatility, we find that the average correlation between stocks increases throughout the day,…

Statistical Finance · Quantitative Finance 2013-01-29 Romain Allez , Jean-Philippe Bouchaud

We investigate possible origins of trends using a deterministic threshold model, where we refer to long-term variabilities of price changes (price movements) in financial markets as trends. From the investigation we find two phenomena. One…

Trading and Market Microstructure · Quantitative Finance 2015-06-22 Ryo Murakami , Tomomichi Nakamura , Shin Kimura , Masashi Manabe , Toshihiro Tanizawa

The integration and innovation of finance and technology have gradually transformed the financial system into a complex one. Analyses of the causesd of abnormal fluctuations in the financial market to extract early warning indicators…

Risk Management · Quantitative Finance 2024-03-20 Shige Peng , Shuzhen Yang , Wenqing Zhang

This paper investigates the structural dynamics of stock market volatility through the Financial Chaos Index, a tensor- and eigenvalue-based measure designed to capture realized volatility via mutual fluctuations among asset prices.…

Statistical Finance · Quantitative Finance 2025-04-29 Masoud Ataei