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Waiting-time statistics are generated from the Olami-Feder-Christensen model and shown to mimic some aspects of real seismicity. Preliminary analysis of the model data implies a recently proposed universal scaling law for the distribution…

Geophysics · Physics 2016-09-08 Morgan Hedges , George Takacs

Stock market indices are volatile by nature, and sudden shocks are known to affect volatility patterns. The autoregressive conditional heteroskedasticity (ARCH) and generalized ARCH (GARCH) models neglect structural breaks triggered by…

Methodology · Statistics 2023-10-05 Tzung Hsuen Khoo , Dharini Pathmanathan , Philipp Otto , Sophie Dabo-Niang

We propose a simple theory for the ``universal'' scaling law previously reported for the distributions of waiting times between earthquakes. It is based on a largely used benchmark model of seismicity, which just assumes no difference in…

Geophysics · Physics 2009-11-11 A. Saichev , D. Sornette

In this letter we present a stochastic dynamic model which can explain economic cycles. We show that the macroscopic description yields a complex dynamical landscape consisting of multiple stable fixed points, each corresponding to a split…

Physics and Society · Physics 2024-06-14 Sören Nagel , Jobst Heitzig , Eckehard Schöll

We propose how to quantify high-frequency market sentiment using high-frequency news from NASDAQ news platform and support vector machine classifiers. News arrive at markets randomly and the resulting news sentiment behaves like a…

General Finance · Quantitative Finance 2019-06-04 Jozef Barunik , Cathy Yi-Hsuan Chen , Jan Vecer

We examine dynamic coupling and feedback effects between High Frequency Traders (HFTs) and how they can destabilize markets. We develop a general framework for modelling dynamic interaction based on recurrence relations, and use this to…

Trading and Market Microstructure · Quantitative Finance 2020-05-29 Christopher D. Clack , Elias Court , Dmitrijs Zaparanuks

Financial global crisis has devastating impacts to economies since early XX century and continues to impose increasing collateral damages for governments, enterprises, and society in general. Up to now, all efforts to obtain efficient…

Statistical Finance · Quantitative Finance 2019-04-09 Bruna Amin Gonçalves , Laura Carpi , Osvaldo A. Rosso , Martin G. Ravetti , A. P. F Atman

We investigate scaling and memory effects in return intervals between price volatilities above a certain threshold $q$ for the Japanese stock market using daily and intraday data sets. We find that the distribution of return intervals can…

Statistical Finance · Quantitative Finance 2009-11-13 Woo-Sung Jung , Fengzhong Wang , Shlomo Havlin , Taisei Kaizoji , Hie-Tae Moon , H. Eugene Stanley

This paper characterises dynamic linkages arising from shocks with heterogeneous degrees of persistence. Using frequency domain techniques, we introduce measures that identify smoothly varying links of a transitory and persistent nature.…

Econometrics · Economics 2023-11-21 Jozef Barunik , Michael Ellington

The paper is devoted to comparing two approaches to the study of aftershocks. The methodological foundations of the traditional approach were laid many years ago. A new approach has emerged relatively recently. The two approaches differ…

Geophysics · Physics 2023-09-26 A. V. Guglielmi

In this article we model chaotic dynamics in financial markets by treating the market price, and market makers' inventory, as anharmonic oscillators with a nonlinear coupling. The market makers' risk appetite being the key parameter that…

Statistical Finance · Quantitative Finance 2026-05-18 Will Hicks

We provide a general probabilistic framework within which we establish scaling limits for a class of continuous-time stochastic volatility models with self-exciting jump dynamics. In the scaling limit, the joint dynamics of asset returns…

Mathematical Finance · Quantitative Finance 2019-12-02 Ulrich Horst , Wei Xu

The purpose of this research article is to discover how the econophysics analysis can complement the econometrics models in application to the risk management in the central banks and financial institutions, operating within the nonlinear…

General Finance · Quantitative Finance 2012-11-20 Dimitri O. Ledenyov , Viktor O. Ledenyov

130 years ago, Omori formulated the first law of earthquake physics. The essence of the law is that the frequency of aftershocks decreases hyperbolically over time. 100 years ago, Hirano doubted the universality of Omori law and proposed a…

Geophysics · Physics 2024-01-09 Anatol Guglielmi , Boris Klain , Alexey Zavyalov , Oleg Zotov

A major impact of globalization has been the information flow across the financial markets rendering them vulnerable to financial contagion. Research has focused on network analysis techniques to understand the extent and nature of such…

Statistical Finance · Quantitative Finance 2019-11-15 Sayantan Banerjee , Kousik Guhathakurta

Measuring systemic risk or fragility of financial systems is a ubiquitous task of fundamental importance in analyzing market efficiency, portfolio allocation, and containment of financial contagions. Recent attempts have shown that…

Risk Management · Quantitative Finance 2015-05-21 Romeil Sandhu , Tryphon Georgiou , Allen Tannenbaum

We argue that the word ``critical'' in the title is not purely literary. Based on our and other previous work on nonlinear complex dynamical systems, we summarize present evidence, on the Oct. 1929, Oct. 1987, Oct. 1987 Hong-Kong, Aug. 1998…

Statistical Mechanics · Physics 2008-12-02 Anders Johansen , Didier Sornette

This paper investigates the dynamics of stocks in the S&P500 index for the last 30 years. Using a stochastic geometry technique, we investigate the evolution of the market space and define a new measure for that purpose, which is a robust…

Physics and Society · Physics 2016-08-16 Tanya Araújo , Francisco Louçã

Finance is about how the continuous stream of news gets incorporated into prices. But not all news have the same impact. Can one distinguish the effects of the Sept. 11, 2001 attack or of the coup against Gorbachev on Aug., 19, 1991 from…

Statistical Mechanics · Physics 2008-12-02 D. Sornette , Y. Malevergne , J. F. Muzy

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