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We propose that the minimal requirements for a model of stock market price fluctuations should comprise time asymmetry, robustness with respect to connectivity between agents, ``bounded rationality'' and a probabilistic description. We also…

Condensed Matter · Physics 2007-05-23 Anders Johansen , Didier Sornette

Financial markets, being spectacular examples of complex systems, display rich correlation structures among price returns of different assets. The correlation structures change drastically, akin to phase transitions in physical phenomena,…

Statistical Finance · Quantitative Finance 2020-07-23 Anirban Chakraborti , Hrishidev , Kiran Sharma , Hirdesh K. Pharasi

We study, both analytically and numerically, an ARCH-like, multiscale model of volatility, which assumes that the volatility is governed by the observed past price changes on different time scales. With a power-law distribution of time…

Physics and Society · Physics 2008-12-02 L. Borland , J. -Ph. Bouchaud

Employing a recent technique which allows the representation of nonstationary data by means of a juxtaposition of locally stationary patches of different length, we introduce a comprehensive analysis of the key observables in a financial…

Statistical Finance · Quantitative Finance 2013-05-03 Sabrina Camargo , Silvio M. Duarte Queiros , Celia Anteneodo

Maximum likelihood estimation applied to high-frequency data allows us to quantify intermittency in the fluctu- ations of asset prices. From time records as short as one month these methods permit extraction of a meaningful intermittency…

Statistical Finance · Quantitative Finance 2015-06-04 Martin Rypdal , Espen Sirnes , Ola Løvsletten , Kristoffer Rypdal

In the event of large disturbances, the practice of controlled islanding is used as a last resort to prevent cascading outages. The application of the strategy at the right time is crucial to maintaining system security. A controlled…

Systems and Control · Electrical Eng. & Systems 2023-03-29 Hamzeh Davarikia , Faycal Znidi , Masoud Barati , Heena Rathore

Many financial variables are found to exhibit multifractal nature, which is usually attributed to the influence of temporal correlations and fat-tailedness in the probability distribution (PDF). Based on the partition function approach of…

Statistical Finance · Quantitative Finance 2012-01-13 Wei-Xing Zhou

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

Financial market is an example of complex system, which is characterized by a highly intricate organization and the emergence of collective behavior. In this paper, we quantify this emergent dynamics in the financial market by using…

General Finance · Quantitative Finance 2011-09-07 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

We propose a new approach for analyzing price fluctuations in their strongly correlated regime ranging from minutes to months. This is done by employing a self-similarity assumption for the magnitude of coarse-grained price fluctuation or…

Statistical Mechanics · Physics 2009-11-07 Yoshi Fujiwara , Hirokazu Fujisaka

In this paper, we focus on the estimation of historical volatility of asset prices from high-frequency data. Stochastic volatility models pose a major statistical challenge: since in reality historical volatility is not observable, its…

Computational Finance · Quantitative Finance 2023-02-27 Camilla Damian , Rüdiger Frey

We revisit the idea that the inflaton may have dissipated part of its energy into a thermal bath during inflation, considering monomial inflationary potentials and three different forms of dissipation rate. Using a numerical Fokker-Planck…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-06 Guillermo Ballesteros , Alejandro Pérez Rodríguez , Mathias Pierre

Prices in financial markets exhibit extreme jumps far more often than can be accounted for by external news. Further, magnitudes of price changes are correlated over long times. These so called stylized facts are quantified by scaling laws…

Trading and Market Microstructure · Quantitative Finance 2016-05-04 Felix Patzelt , Klaus Pawelzik

Diffusion processes driven by Fractional Brownian motion (FBM) have often been considered in modeling stock price dynamics in order to capture the long range dependence of stock price observed in reality. Option prices for such models had…

Statistics Theory · Mathematics 2024-05-29 Ananya Lahiri , Rituparna Sen

Thermodynamic parameters such as temperature and pressure can be defined from the statistical behavior of a system. Therefore, thermal fluctuation is an inseparable characteristic of these parameters which eventually finds its way into…

Computational Physics · Physics 2017-02-28 Alek Bedroya , Mahmud Bahmanabadi

The thermodynamic formalism allows one to access the chaotic properties of equilibrium and out-of-equilibrium systems, by deriving those from a dynamical partition function. The definition that has been given for this partition function…

Statistical Mechanics · Physics 2011-11-29 Vivien Lecomte , Cécile Appert-Rolland , Frédéric van Wijland

The response of thermodynamic systems perturbed out of an equilibrium steady-state is described by the reciprocal and the fluctuation-dissipation relations. The so-called fluctuation theorems extended the study of fluctuations far beyond…

Statistical Mechanics · Physics 2020-02-21 Matteo Polettini , Massimiliano Esposito

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

For many externally driven complex systems neither the noisy driving force, nor the internal dynamics are a priori known. Here we focus on systems for which the time dependent activity of a large number of components can be monitored,…

Statistical Mechanics · Physics 2008-12-02 Zoltan Eisler , Janos Kertesz , Soon-Hyung Yook , Albert-Laszlo Barabasi

The market efficiency hypothesis has been proposed to explain the behavior of time series of stock markets. The Black-Scholes model (B-S) for example, is based on the assumption that markets are efficient. As a consequence, it is…

Statistical Finance · Quantitative Finance 2019-03-20 Carlos Arturo Soto Campos , Leopoldo Sánchez Cantú , Zeus Hernández Veleros