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An influential theory of increasing returns has been proposed by the economist W. B. Arthur in the '80s to explain the lock-in phenomenon between two competing commercial products. In the most simplified situation there are two competing…

Probability · Mathematics 2025-07-09 Simone Franchini , Riccardo Balzan

We study the problem of dynamically trading multiple futures whose underlying asset price follows a multiscale central tendency Ornstein-Uhlenbeck (MCTOU) model. Under this model, we derive the closed-form no-arbitrage prices for the…

Mathematical Finance · Quantitative Finance 2021-02-26 Tim Leung , Yang Zhou

There is a well developed framework, the Black-Scholes theory, for the pricing of contracts based on the future prices of certain assets, called options. This theory assumes that the probability distribution of the returns of the underlying…

Condensed Matter · Physics 2009-11-10 Ruy Gabriel Balieiro Filho , Rogerio Rosenfeld

In a financial market, for agents with long investment horizons or at times of severe market stress, it is often changes in the asset price that act as the trigger for transactions or shifts in investment position. This suggests the use of…

Trading and Market Microstructure · Quantitative Finance 2015-05-13 H. Lamba

We establish several new stylised facts concerning the intra-day seasonalities of stock dynamics. Beyond the well known U-shaped pattern of the volatility, we find that the average correlation between stocks increases throughout the day,…

Statistical Finance · Quantitative Finance 2013-01-29 Romain Allez , Jean-Philippe Bouchaud

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

Stylized facts of empirical assets log-returns $Z$ include the existence of (semi) heavy tailed distributions $f_Z(z)$ and a non-linear spectrum of Hurst exponents $\tau(\beta)$. Empirical data considered are daily prices of 10 large…

Physics and Society · Physics 2008-12-02 Stefan Reimann

We examine the dynamics of the bid and ask queues of a limit order book and their relationship with the intensity of trade arrivals. In particular, we study the probability of price movements and trade arrivals as a function of the quote…

Trading and Market Microstructure · Quantitative Finance 2013-12-03 Alexander Lipton , Umberto Pesavento , Michael G Sotiropoulos

In the Cont-Bouchaud model [cond-mat/9712318] of stock markets, percolation clusters act as buying or selling investors and their statistics controls that of the price variations. Rather than fixing the concentration controlling each…

Statistical Mechanics · Physics 2009-10-31 Dietrich Stauffer , D. Sornette

In many physical, social or economical phenomena we observe changes of a studied quantity only in discrete, irregularly distributed points in time. The stochastic process used by physicists to describe this kind of variables is the…

Statistical Finance · Quantitative Finance 2020-04-14 Jarosław Klamut , Tomasz Gubiec

We find a remarkable time persistence of various proxies for the kurtosis (p-kurtosis) of the intraday returns distribution for the S&P500 index and this permits a significant measure of their evolution from 1983 to 2004. There appears a…

Statistical Finance · Quantitative Finance 2011-12-12 M. A. Virasoro

The distribution of intertrade durations, defined as the waiting times between two consecutive transactions, is investigated based upon the limit order book data of 23 liquid Chinese stocks listed on the Shenzhen Stock Exchange in the whole…

Statistical Finance · Quantitative Finance 2008-12-02 Zhi-Qiang Jiang , Wei Chen , Wei-Xing Zhou

Analogies between the price dynamics in the foreign exchange market and 3-dimensional fully developed turbulence were recently presented in Nature vol. 381, 767-769 (1996). Independently, we have carried out a study comparing the parallel…

Condensed Matter · Physics 2007-05-23 Rosario N. Mantegna , H. Eugene Stanley

One approach to the analysis of stochastic fluctuations in market prices is to model characteristics of investor behaviour and the complex interactions between market participants, with the aim of extracting consequences in the aggregate.…

Probability · Mathematics 2008-12-02 Erhan Bayraktar , Ulrich Horst , Ronnie Sircar

Simulation of a Langevin-dynamics model demonstrates emergence of critical fluctuations and anomalous grain transport which have been observed in experiments on "soft" quasi-two-dimensional dusty plasma clusters. It has been suggested that…

Soft Condensed Matter · Physics 2015-05-13 S. Ratynskaia , G. Regnoli , K. Rypdal , B. Klumov , G. Morfill

The goal of developing a firmer theoretical understanding of inhomogenous temporal processes -- in particular, the waiting times in some collective dynamical system -- is attracting significant interest among physicists. Quantifying the…

Statistical Finance · Quantitative Finance 2015-06-12 Guannan Zhao , Mark McDonald , Dan Fenn , Stacy Williams , Neil F. Johnson

Accurately forecasting the price of oil, the world's most actively traded commodity, is of great importance to both academics and practitioners. We contribute by proposing a functional time series based method to model and forecast oil…

Applications · Statistics 2019-01-09 Fearghal Kearney , Han Lin Shang

In this study, we analyse a high-frequency movement dataset for a group of grazing cattle and investigate their spatiotemporal patterns using a simple two-state `stop-and-move' mobility model. We find that the dispersal kernel in the moving…

Quantitative Methods · Quantitative Biology 2016-03-18 Kun Zhao , Raja Jurdak

An attempt to obtain market directional information from non-stationary solution of the dynamic equation: "future price tends to the value maximizing the number of shares traded per unit time" is presented. A remarkable feature of the…

Computational Finance · Quantitative Finance 2022-10-11 Vladislav Gennadievich Malyshkin , Mikhail Gennadievich Belov

We apply the formalism of the continuous time random walk to the study of financial data. The entire distribution of prices can be obtained once two auxiliary densities are known. These are the probability densities for the pausing time…

Statistical Mechanics · Physics 2008-12-10 Jaume Masoliver , Miquel Montero , George H. Weiss