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This work is devoted to the study of modeling geophysical and financial time series. A class of volatility models with time-varying parameters is presented to forecast the volatility of time series in a stationary environment. The modeling…

Financial markets exhibit complex dynamics where localized events trigger ripple effects across entities. Previous event studies, constrained by static single-company analyses and simplistic assumptions, fail to capture these ripple…

Social and Information Networks · Computer Science 2025-06-02 Yuanjian Xu , Jianing Hao , Kunsheng Tang , Jingnan Chen , Anxian Liu , Peng Liu , Guang Zhang

Earthquake phenomenology exhibits a number of power law distributions including the Gutenberg-Richter frequency-size statistics and the Omori law for aftershock decay rates. In search for a basic model that renders correct predictions on…

Disordered Systems and Neural Networks · Physics 2009-11-11 Amit P. Mehta , Karin A. Dahmen , Yehuda Ben-Zion

We quantify the correlation between earthquakes and use the same to distinguish between relevant causally connected earthquakes. Our correlation metric is a variation on the one introduced by Baiesi and Paczuski (2004). A network of…

Geophysics · Physics 2010-03-25 T. R. Krishna Mohan P. G. , Revathi

Building on similarities between earthquakes and extreme financial events, we use a self-organized criticality-generating model to study herding and avalanche dynamics in financial markets. We consider a community of interacting investors,…

General Finance · Quantitative Finance 2015-06-17 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda , Dirk Helbing

Following several episodes of financial market turmoil in recent decades, changes in systemic risk have drawn growing attention. Therefore, we propose surveillance schemes for systemic risk, which allow to detect misspecified systemic risk…

Econometrics · Economics 2026-01-14 Timo Dimitriadis , Yannick Hoga

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

Together with the Gutenberg-Richter distribution of earthquake magnitudes, Omori's law is the best established empirical characterization of earthquake sequences and states that the number of smaller earthquakes per unit time triggered by a…

Statistical Mechanics · Physics 2015-06-25 A. Sornette , D. Sornette

Basic peculiarities of market price fluctuations are known to be well described by a recently developed random walk model in a temporally deforming quadric potential force whose center is given by a moving average of past price traces…

Statistical Finance · Quantitative Finance 2013-05-29 Kota Watanabe , Hideki Takayasu , Misako Takayasu

Recent empirical studies suggest that the volatilities associated with financial time series exhibit short-range correlations. This entails that the volatility process is very rough and its autocorrelation exhibits sharp decay at the…

Pricing of Securities · Quantitative Finance 2018-04-17 Josselin Garnier , Knut Solna

We propose a new physically-based ``multifractal stress activation'' model of earthquake interaction and triggering based on two simple ingredients: (i) a seismic rupture results from activated processes giving an exponential dependence on…

Statistical Mechanics · Physics 2007-05-23 G. Ouillon , D. Sornette

This paper proposes a theory of stock market predictability patterns based on a model of heterogeneous beliefs. In a discrete finite time framework, some agents receive news about an asset's fundamental value through a noisy signal. The…

Pricing of Securities · Quantitative Finance 2024-06-13 Jiho Park

This manuscript reports a stochastic dynamical scenario whose associated stationary probability density function is exactly a previously proposed one to adjust high-frequency traded volume distributions. This dynamical conjecture,…

Statistical Mechanics · Physics 2009-11-11 Silvio M. Duarte Queiros

This paper introduces a unified approach for modeling high-frequency financial data that can accommodate both the continuous-time jump-diffusion and discrete-time realized GARCH model by embedding the discrete realized GARCH structure in…

Methodology · Statistics 2020-06-16 Xinyu Song , Donggyu Kim , Huiling Yuan , Xiangyu Cui , Zhiping Lu , Yong Zhou , Yazhen Wang

We propose a non linear Langevin equation as a model for stock market fluctuations and crashes. This equation is based on an identification of the different processes influencing the demand and supply, and their mathematical transcription.…

Condensed Matter · Physics 2009-10-31 Jean-Philippe Bouchaud , Rama Cont

A measure of the correlation between two earthquakes is used to link events to their aftershocks, generating a growing network structure. In this framework one can quantify whether an aftershock is close or far, from main shocks of all…

Statistical Mechanics · Physics 2016-08-31 Marco Baiesi

We consider a mean-reverting stochastic volatility model which satisfies some relevant stylized facts of financial markets. We introduce an algorithm for the detection of peaks in the volatility profile, that we apply to the time series of…

Statistical Finance · Quantitative Finance 2016-12-05 Mario Bonino , Matteo Camelia , Paolo Pigato

We identify a robust structural signature of stock markets during exogenous shock events by analyzing collective return dynamics across G5 countries. Using Random Matrix Theory, we introduce the complexity gap, defined as the difference…

Statistical Finance · Quantitative Finance 2026-04-22 Kundan Mukhia , Imran Ansari , Md. Nurujjaman

The statistical properties of avalanches in a dissipative particulate system under slow shear are investigated using molecular dynamics simulations. It is found that the magnitude-frequency distribution obeys the Gutenberg-Richter law only…

Statistical Mechanics · Physics 2015-07-31 Takahiro Hatano , Clément Narteau , Peter Shebalin

To understand the emergence of Ultrafast Extreme Events (UEEs), the influence of algorithmic trading or high-frequency traders is of major interest as they make it extremely difficult to intervene and to stabilize financial markets. In an…

Trading and Market Microstructure · Quantitative Finance 2026-02-04 Luca Henrichs , Anton J. Heckens , Thomas Guhr
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