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In this paper we study a simple model of a purely excitatory neural network that, by construction, operates at a critical point. This model allows us to consider various markers of criticality and illustrate how they should perform in a…

Neurons and Cognition · Quantitative Biology 2013-05-17 Timothy J. Taylor , Caroline Hartley , Péter L. Simon , Istvan Z Kiss , Luc Berthouze

We study the complexity of the stock market by constructing $\epsilon$-machines of Standard and Poor's 500 index from February 1983 to April 2006 and by measuring the statistical complexities. It is found that both the statistical…

Physics and Society · Physics 2015-06-26 Joongwoo Brian Park , Jeong Won Lee , Jae-Suk Yang , Hang-Hyun Jo , Hie-Tae Moon

Financial markets have been extensively studied as highly complex evolving systems. In this paper, we quantify financial price fluctuations through a coupled dynamical system composed of phase oscillators. We find a Financial Coherence and…

Statistical Finance · Quantitative Finance 2016-05-10 Shangmei Zhao , Qiuchao Xie , Qing Lu , Xin Jiang , Wei Chen

Financial markets are often modelled as if time were unique and continuous across assets and markets. Financial markets are however asynchronous, order flow is event-driven, and waiting times between events are often random. Many of the…

Trading and Market Microstructure · Quantitative Finance 2026-04-29 Chris Angstmann , Tim Gebbie

Financial markets are integral to a country's economic success, yet their complex nature raises challenging issues for predicting their behaviors. There is a growing demand for an integrated system that explores the vast and diverse data in…

Statistical Finance · Quantitative Finance 2024-12-10 Ali Abrishami , Jafar Habibi , AmirAli Jarrahi , Dariush Amiri , MohammadAmin Fazli

Flash crashes in financial markets have become increasingly important attracting attention from financial regulators, market makers as well as from the media and the broader audience. Systemic risk and propagation of shocks in financial…

Trading and Market Microstructure · Quantitative Finance 2022-02-23 Jeremy Turiel , Tomaso Aste

With the random matrix theory, we study the spatial structure of the Chinese stock market, American stock market and global market indices. After taking into account the signs of the components in the eigenvectors of the cross-correlation…

General Finance · Quantitative Finance 2012-02-23 X. F. Jiang , B. Zheng

Large and stable indices of the world wide stock markets such as NYSE and SP 500 together with NASDAQ -- the index representing markets of new trends, and WIG -- the index of the local stock market of Eastern Europe, are considered. Due to…

Statistical Mechanics · Physics 2008-12-02 Danuta Makowiec

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

In order to emphasize cross-correlations for fluctuations in major market places, series of up and down spins are built from financial data. Patterns frequencies are measured, and statistical tests performed. Strong cross-correlations are…

Statistical Mechanics · Physics 2009-10-31 N. Vandewalle , Ph. Boveroux , F. Brisbois

Complex systems are characterized by specific time-dependent interactions among their many constituents. As a consequence they often manifest rich, non-trivial and unexpected behavior. Examples arise both in the physical and non-physical…

Physics and Society · Physics 2018-11-21 Yurij Holovatch , Ralph Kenna , Stefan Thurner

We present an analysis of the time behavior of the $S\&P500$ (Standard and Poors) New York stock exchange index before and after the October 1987 market crash and identify precursory patterns as well as aftershock signatures and…

Condensed Matter · Physics 2009-10-28 Didier Sornette , Anders Johansen , Jean-Philippe Bouchaud

Fire sales are among the major drivers of market instability in modern financial systems. Due to iterated distressed selling and the associated price impact, initial shocks to some institutions can be amplified dramatically through the…

Risk Management · Quantitative Finance 2021-11-03 Nils Detering , Thilo Meyer-Brandis , Konstantinos Panagiotou , Daniel Ritter

The waiting time needed for a stock market index to undergo a given percentage change in its value is found to have an up-down asymmetry, which, surprisingly, is not observed for the individual stocks composing that index. To explain this,…

Physics and Society · Physics 2009-11-11 Raul Donangelo , Mogens H. Jensen , Ingve Simonsen , Kim Sneppen

Online social networks offer a new way to investigate financial markets' dynamics by enabling the large-scale analysis of investors' collective behavior. We provide empirical evidence that suggests social media and stock markets have a…

Statistical Finance · Quantitative Finance 2016-03-02 Thársis T. P. Souza , Tomaso Aste

Motivated by empirical observations on the interplay of trends and reversion, a lattice gas model of financial markets is presented. The shares of an asset are modeled by gas molecules that are distributed across a hidden social network of…

Statistical Finance · Quantitative Finance 2022-03-02 Christof Schmidhuber

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

Following the financial crisis of 2007-2008, a deep analogy between the origins of instability in financial systems and complex ecosystems has been pointed out: in both cases, topological features of network structures influence how easily…

Risk Management · Quantitative Finance 2017-02-28 Marco Bardoscia , Stefano Battiston , Fabio Caccioli , Guido Caldarelli

Analyzing stocks and making higher accurate predictions on where the price is heading continues to become more and more challenging therefore, we designed a new financial algorithm that leverages social media sentiment analysis to enhance…

Machine Learning · Computer Science 2025-02-11 SriVarsha Mulakala , Umesh Vangapally , Benjamin Larkey , Aidan Henrichs , Corey Wojslaw

Financial markets are well known examples of multi-fractal complex systems that have garnered much interest in their characterization through complex network theory. The recent studies have used correlation based distance metrics for…

Statistical Finance · Quantitative Finance 2012-05-09 Sayantan Ghosh , Uwe Jaekel , Francesco Petruccione
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