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We introduce an epistemic information measure between two data streams, that we term $influence$. Closely related to transfer entropy, the measure must be estimated by epistemic agents with finite memory resources via sampling accessible…

In this paper, we show through examples, how the existing definitions of information transfer, namely directed information and transfer entropy fail to capture true causal interaction between states in control dynamical system. We propose a…

Optimization and Control · Mathematics 2018-07-24 Subhrajit Sinha , Umesh Vaidya

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

Many studies assume stock prices follow a random process known as geometric Brownian motion. Although approximately correct, this model fails to explain the frequent occurrence of extreme price movements, such as stock market crashes. Using…

Statistical Finance · Quantitative Finance 2015-05-14 Miguel A. Fuentes , Austin Gerig , Javier Vicente

The paper presents a step forward into the development of the theory of meaning. Stock and financial markets are examined from communication-theoretical perspective on the dynamics of information and meaning. This study focuses on the link…

Statistical Finance · Quantitative Finance 2023-12-19 Inga Ivanova

We construct a price impact model between stocks in a correlated market. For the price change of a given stock induced by the short-run liquidity of this stock itself and of the information about other stocks, we introduce a self- and a…

Trading and Market Microstructure · Quantitative Finance 2019-04-23 Shanshan Wang , Thomas Guhr

We show that under mild assumptions, the total value of information to informed traders in the market can be measured by the covariance between price changes and order flow. This covariance captures noise trader losses, which equal informed…

General Finance · Quantitative Finance 2026-05-13 Ohad Kadan , Asaf Manela

Large variations in stock prices happen with sufficient frequency to raise doubts about existing models, which all fail to account for non-Gaussian statistics. We construct simple models of a stock market, and argue that the large…

Condensed Matter · Physics 2015-06-25 P. Bak , M. Paczuski , M. Shubik

We quantify the amount of information filtered by different hierarchical clustering methods on correlations between stock returns comparing it with the underlying industrial activity structure. Specifically, we apply, for the first time to…

Statistical Finance · Quantitative Finance 2023-07-19 Nicolo Musmeci , Tomaso Aste , Tiziana Di Matteo

How and why stock prices move is a centuries-old question still not answered conclusively. More recently, attention shifted to higher frequencies, where trades are processed piecewise across different timescales. Here we reveal that price…

Trading and Market Microstructure · Quantitative Finance 2018-01-17 Felix Patzelt , Jean-Philippe Bouchaud

The daily volume of transaction on the New York Stock Exchange and its day-to-day fluctuations are analysed with respect to power-law tails as well long-term trends. We also model the transition to a Gaussian distribution for longer time…

Physics and Society · Physics 2009-11-11 Caglar Tuncay , Dietrich Stauffer

The marvel of markets lies in the fact that dispersed information is instantaneously processed and used to adjust the price of goods, services and assets. Financial markets are particularly efficient when it comes to processing information;…

Trading and Market Microstructure · Quantitative Finance 2018-07-19 Stefan Feuerriegel , Helmut Prendinger

Stock market movements are influenced by public and private information shared through news articles, company reports, and social media discussions. Analyzing these vast sources of data can give market participants an edge to make profit.…

Statistical Finance · Quantitative Finance 2021-07-12 Kamaladdin Fataliyev , Aneesh Chivukula , Mukesh Prasad , Wei Liu

In modern financial markets, news plays a critical role in shaping investor sentiment and influencing stock price movements. However, most existing studies aggregate daily news sentiment into a single score, potentially overlooking…

Computational Engineering, Finance, and Science · Computer Science 2025-10-09 Qizhao Chen

We show that recent stock market fluctuations are characterized by the cumulative distributions whose tails on short, minute time scales exhibit power scaling with the scaling index alpha > 3 and this index tends to increase quickly with…

Statistical Finance · Quantitative Finance 2009-11-13 S. Drozdz , M. Forczek , J. Kwapien , P. Oswiecimka , R. Rak

Financial markets exhibit an apparent paradox: while directional price movements remain largely unpredictable--consistent with weak-form efficiency--the magnitude of price changes displays systematic structure. Here we demonstrate that…

Trading and Market Microstructure · Quantitative Finance 2025-12-19 Mainak Singha

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

The effect of proportional transaction costs on systematically generated portfolios is studied empirically. The performance of several portfolios (the index tracking portfolio, the equally-weighted portfolio, the entropy-weighted portfolio,…

Portfolio Management · Quantitative Finance 2019-04-22 Johannes Ruf , Kangjianan Xie

Traders in a stock market exchange stock shares and form a stock trading network. Trades at different positions of the stock trading network may contain different information. We construct stock trading networks based on the limit order…

Trading and Market Microstructure · Quantitative Finance 2016-12-06 Wen-Jie Xie , Ming-Xia Li , Hai-Chuan Xu , Wei Chen , Wei-Xing Zhou , H. E. Stanley

Stock market indices are one of the most investigated complex systems in econophysics. Here we extend the existing literature on stock markets in connection with nonextensive statistical mechanics. We explore the nonextensivity of price…

Statistical Finance · Quantitative Finance 2019-05-01 Dusan Stosic , Darko Stosic , Tatijana Stosic
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