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Fluctuations in stock prices are influenced by a complex interplay of factors that go beyond mere historical data. These factors, themselves influenced by external forces, encompass inter-stock dynamics, broader economic factors, various…

Statistical Finance · Quantitative Finance 2026-02-12 Ambedkar Dukkipati , Kawin Mayilvaghanan , Naveen Kumar Pallekonda , Sai Prakash Hadnoor , Ranga Shaarad Ayyagari

We consider a market where many agents trade many different types of products with each other. We model development of collective modes in this market, and quantify these by fluctuations that scale with time with a Hurst exponent of about…

Condensed Matter · Physics 2009-10-31 Raul Donangelo , Alex Hansen , Kim Sneppen , Sergio R. Souza

It is hypothesized that price charts can be empirically decomposed into two components as random and non random. The non random component, which can be treated as approximately regular behavior of the prices (trend) in an epoch, is a…

Statistical Finance · Quantitative Finance 2011-09-21 Caglar Tuncay

Multivariate probability density functions of returns are constructed in order to model the empirical behavior of returns in a financial time series. They describe the well-established deviations from the Gaussian random walk, such as an…

Condensed Matter · Physics 2007-08-23 E. Alessio , V. Frappietro , M. I. Krivoruchenko , L. J. Streckert

The two-dimensional multifractal detrended fluctuation analysis is applied to reveal the multifractal properties of the fracture surfaces of foamed polypropylene/polyethylene blends at different temperatures. Nice power-law scaling…

Materials Science · Physics 2009-01-03 Chuang Liu , Xiu-Lei Jiang , Tao Liu , Ling Zhao , Wei-Xing Zhou , Wei-Kang Yuan

Fluctuation theorems show how coarse graining transforms microscopic symmetry into observable irreversibility. Here we ask whether an analogous symmetrybased diagnostic can be constructed for financial markets. At the microscopic level,…

Statistical Mechanics · Physics 2026-04-17 Jian Gao , Lufeng Zhang , Ping Fang , Pu Ke , Jin Wu , Yue Liu , Haijun Zhou

The statistical properties of a stochastic process may be described (1)by the expectation values of the observables, (2)by the probability distribution functions or (3)by probability measures on path space. Here an analysis of level (3) is…

Statistical Mechanics · Physics 2008-12-02 R. Vilela Mendes , R. Lima , T. Araujo

This study aims to investigate the behavior of stock prices throughout the episodes of foreign capital flows using data of daily stock prices and quarterly foreign capital flows from 14 EMEs. To this end, the episodes of capital flows are…

General Finance · Quantitative Finance 2025-06-17 Boubekeur Baba , Guven Sevil

A methodology is developed to identify, as units of study, each decrease in the value of a stock from a given maximum price level. A critical level in the amount of price declines is found to separate a segment operating under a random walk…

Statistical Finance · Quantitative Finance 2017-03-28 Leopoldo Sánchez-Cantú , Carlos Arturo Soto-Campos , Andriy Kryvko

For $n$ equidistant observations of a L\'evy process at time distance $\Delta_n$ we consider the problem of testing hypotheses on the volatility, the jump measure and its Blumenthal-Getoor index in a non- or semiparametric manner.…

Statistics Theory · Mathematics 2013-04-05 Markus Reiß

In this paper we have analyzed scaling properties and cyclical behavior of the three types of stock market indexes (SMI) time series: data belonging to stock markets of developed economies, emerging economies, and of the underdeveloped or…

Statistical Finance · Quantitative Finance 2017-06-13 Djordje Stratimirovic , Darko Sarvan , Vladimir Miljkovic , Suzana Blesic

In this paper, we have carried out the detail studies of pre-cancer by wavelet coherency and multifractal based detrended fluctuation analysis (MFDFA) on differential interference contrast (DIC) images of stromal region among different…

Computer Vision and Pattern Recognition · Computer Science 2015-03-24 Sabyasachi Mukhopadhyay , Nandan K. Das , Soham Mandal , Sawon Pratiher , Asish Mitra , Asima Pradhan , Nirmalya Ghosh , Prasanta K. Panigrahi

The Hawkes model is suitable for describing self and mutually exciting random events. In addition, the exponential decay in the Hawkes process allows us to calculate the moment properties in the model. However, due to the complexity of the…

Statistical Finance · Quantitative Finance 2024-09-24 Kyungsub Lee

We focus on various measures of the fluctuations of the sequence of intervals between beats of the human heart, and how such fluctuations can be used to assess the presence or likelihood of cardiovascular disease. We examine sixteen such…

Biological Physics · Physics 2016-09-08 Malvin C. Teich , Steven B. Lowen , Bradley M. Jost , Karin Vibe-Rheymer , Conor Heneghan

We measure the influence of different time-scales on the dynamics of financial market data. This is obtained by decomposing financial time series into simple oscillations associated with distinct time-scales. We propose two new time-varying…

Statistical Finance · Quantitative Finance 2016-11-23 Noemi Nava , Tiziana Di Matteo , Tomaso Aste

The frequency-dependent spectrum of current fluctuations through nano-scale channels is studied using analytical and computational techniques. Using a stochastic Nernst-Planck description and neglecting the interactions between the ions…

Statistical Mechanics · Physics 2018-04-04 Mira Zorkot , Ramin Golestanian

It is pointed out that the concepts and methods introduced by Bachelier and by Mandelbrot to Finance and Economics can be used to examine the fluctuations observed in high-energy hadron production processes. Theoretical arguments and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Q. Liu , T. Meng

This paper presents an empirical investigation of the intraday Brazilian stock market price fluctuations, considering q-Gaussian distributions that emerge from a non-extensive statistical mechanics. Our results show that, when returns are…

Physics and Society · Physics 2009-11-13 A. A. G. Cortines , R. Riera

The long-term behavior of a supercritical branching random walk can be described and analyzed with the help of Biggins' martingales, parametrized by real or complex numbers. The study of these martingales with complex parameters is a rather…

Probability · Mathematics 2018-08-17 Alexander Iksanov , Konrad Kolesko , Matthias Meiners

These notes give a summary of techniques used in large deviation theory to study the fluctuations of time-additive quantities, called dynamical observables, defined in the context of Langevin-type equations, which model equilibrium and…

Statistical Mechanics · Physics 2022-12-29 Hugo Touchette