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We investigate quotation and transaction activities in the foreign exchange market for every week during the period of June 2007 to December 2010. A scaling relationship between the mean values of number of quotations (or number of…

Statistical Finance · Quantitative Finance 2012-04-03 Aki-Hiro Sato , Takaki Hayashi , Janusz A. Hołyst

The Bohmian quantum approach is implemented to analyze the financial markets. In this approach, there is a wave function that leads to a quantum potential. This potential can explain the relevance and entanglements of the agent's behaviors…

General Finance · Quantitative Finance 2012-12-19 F. Tahmasebi , S. Meskini , A. Namaki , G. R. Jafari

We empirically analyze the scaling properties of daily Foreign Exchange rates, Stock Market indices and Bond futures across different financial markets. We study the scaling behaviour of the time series by using a generalized Hurst exponent…

Statistical Mechanics · Physics 2008-12-02 T. Di Matteo , T. Aste , M. M. Dacorogna

This paper investigates the scaling dependencies between measures of "activity" and of "size" for companies included in the FTSE 100. The "size" of companies is measured by the total market capitalization. The "activity" is measured with…

Other Condensed Matter · Physics 2008-12-02 Gilles Zumbach

This study investigates that a characteristic time scale on an exchange rate market (USD/JPY) is examined for the period of 1998 to 2000. Calculating power spectrum densities for the number of tick quotes per minute and averaging them over…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Aki-Hiro Sato

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

Permutation approach is suggested as a method to investigate financial time series in micro scales. The method is used to see how high frequency trading in recent years has affected the micro patterns which may be seen in financial time…

Statistical Finance · Quantitative Finance 2014-08-06 Cina Aghamohammadi , Mehran Ebrahimian , Hamed Tahmooresi

Nowadays, when crashes and crises are rather frequent events, an effective monitoring system for the international financial market is needed. Modern nonlinear methods, such as Recurrence Quantification Analysis (RQA), demonstrate the…

Statistical Finance · Quantitative Finance 2011-12-02 Sergii Piskun , Oleksandr Piskun , Dmitry Chabanenko

The scaling properties encompass in a simple analysis many of the volatility characteristics of financial markets. That is why we use them to probe the different degree of markets development. We empirically study the scaling properties of…

Statistical Mechanics · Physics 2008-12-02 T. Di Matteo , T. Aste , M. M. Dacorogna

Single index financial market models cannot account for the empirically observed complex interactions between shares in a market. We describe a multi-share financial market model and compare characteristics of the volatility, that is the…

Condensed Matter · Physics 2009-10-31 Adam Ponzi

We study the emergence of instabilities in a stylized model of a financial market, when different market actors calculate prices according to different (local) market measures. We derive typical properties for ensembles of large random…

Trading and Market Microstructure · Quantitative Finance 2012-09-04 Marco Bardoscia , Giacomo Livan , Matteo Marsili

We introduce an event based framework of directional changes and overshoots to map continuous financial data into the so-called Intrinsic Network - a state based discretisation of intrinsically dissected time series. Defining a method for…

Trading and Market Microstructure · Quantitative Finance 2014-02-11 Anton Golub , Gregor Chliamovitch , Alexandre Dupuis , Bastien Chopard

We describe a financial market model which shows a non-equilibrium phase transition. Near the transition punctuated equilibrium behaviour is seen, with avalanches occuring on all scales. This scaling is described by an exponent very near 1.…

adap-org · Physics 2015-06-24 A. Ponzi , Y. Aizawa

We propose a new set of stylized facts quantifying the structure of financial markets. The key idea is to study the combined structure of both investment strategies and prices in order to open a qualitatively new level of understanding of…

Statistical Finance · Quantitative Finance 2015-03-19 Wei-Xing Zhou , Guo-Hua Mu , Wei Chen , Didier Sornette

The scaling properties of the time series of asset prices and trading volumes of stock markets are analysed. It is shown that similarly to the asset prices, the trading volume data obey multi-scaling length-distribution of low-variability…

Statistical Mechanics · Physics 2008-12-02 Robert Kitt , Jaan Kalda

By analyzing the seismicity in natural time and studying the evolution of the fluctuations of the entropy change of seismicity under time reversal for various scales of different length i (number of events), we can identify the approach of…

Geophysics · Physics 2025-12-30 Panayiotis A. Varotsos , Nicholas V. Sarlis , Toshiyasu Nagao

Financial markets are systems with the complex behavior, that can be hardly analyzed by means of linear methods. Recurrence Quantification Analysis (RQA) is a nonlinear methodology, which is able to work with the nonstationary and short…

Chaotic Dynamics · Physics 2011-07-28 Oleksandr Piskun , Sergii Piskun

This paper reviews some of the phenomenological models which have been introduced to incorporate the scaling properties of financial data. It also illustrates a microscopic model, based on heterogeneous interacting agents, which provides a…

Statistical Mechanics · Physics 2009-10-31 Giulia Iori

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

The idea of the global daily magnitude (GDM, unit designation is Mg) of earthquakes is introduced. The formula is given for calculating Mg from earthquake strength data, characterized by the classic magnitude M on the Richter scale. An…

Geophysics · Physics 2019-09-04 A. V. Guglielmi , B. I. Klain
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