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We investigate steady-state current fluctuations in two models of run-and-tumble particles (RTPs) on a ring of $L$ sites, for \textit{arbitrary} tumbling rate $\gamma=\tau_p^{-1}$ and density $\rho$; model I consists of standard hardcore…

Statistical Mechanics · Physics 2024-04-17 Tanmoy Chakraborty , Punyabrata Pradhan

Collapse and reverse to collapse explosion transition in self-gravitating systems are studied by molecular dynamics simulations. A microcanonical ensemble of point particles confined to a spherical box is considered; the particles interact…

Statistical Mechanics · Physics 2009-11-10 I. Ispolatov , M. Karttunen

We perform a comparative analysis of the Chinese stock market around the occurrence of the 2008 crisis based on the random matrix analysis of high-frequency stock returns of 1228 stocks listed on the Shanghai and Shenzhen stock exchanges.…

Statistical Finance · Quantitative Finance 2017-04-19 Rui-Qi Han , Wen-Jie Xie , Xiong Xiong , Wei Zhang , Wei-Xing Zhou

Technical trading rules have a long history of being used by practitioners in financial markets. Their profitable ability and efficiency of technical trading rules are yet controversial. In this paper, we test the performance of more than…

Trading and Market Microstructure · Quantitative Finance 2015-09-03 Shan Wang , Zhi-Qiang Jiang , Sai-Ping Li , Wei-Xing Zhou

We address the problem of long-range memory in the financial markets. There are two conceptually different ways to reproduce power-law decay of auto-correlation function: using fractional Brownian motion as well as non-linear stochastic…

Statistical Finance · Quantitative Finance 2017-05-24 V. Gontis , A. Kononovicius

Applicability of the concept of financial log-periodicity is discussed and encouragingly verified for various phases of the world stock markets development in the period 2000-2010. In particular, a speculative forecasting scenario designed…

Statistical Finance · Quantitative Finance 2008-12-02 Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka , Josef Speth

Based on the minute-by-minute data of the Hang Seng Index in Hong Kong and the analysis of probability distribution and autocorrelations, we find that the index fluctuations for the first few minutes of daily opening show behaviors very…

Statistical Mechanics · Physics 2009-10-31 Zhi-Feng Huang

We formulate the problem of probabilistic predictions of global failure in the simplest possible model based on site percolation and on one of the simplest model of time-dependent rupture, a hierarchical fiber bundle model. We show that…

Materials Science · Physics 2009-11-11 J. Andersen , D. Sornette

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

The two phase behavior in financial markets actually means the bifurcation phenomenon, which represents the change of the conditional probability from an unimodal to a bimodal distribution. In this paper, the bifurcation phenomenon in…

Statistical Finance · Quantitative Finance 2009-11-13 Shi-Mei Jiang , Shi-Min Cai , Tao Zhou , Pei-Ling Zhou

Scale invariance, collective behaviours and structural reorganization are crucial for portfolio management (portfolio composition, hedging, alternative definition of risk, etc.). This lack of any characteristic scale and such elaborated…

Statistical Finance · Quantitative Finance 2014-03-24 Thomas Bury

Log-periodic oscillations have been used to predict price trends and crashes on financial markets. So far two types of log-periodic oscillations have been associated with the real markets. The first type are oscillations which accompany a…

Statistical Mechanics · Physics 2009-11-10 Piotr Gnacinski , Danuta Makowiec

The principal aim of this work is the evidence on empirical way that catastrophic bifurcation breakdowns or transitions, proceeded by flickering phenomenon, are present on notoriously significant and unpredictable financial markets.…

Statistical Finance · Quantitative Finance 2014-02-18 M. Kozłowska , T. Gubiec , T. R. Werner , M. Denys , A. Sienkiewicz , R. Kutner , Z. Struzik

We investigate the Portevin-Le Chatelier effect (PLC), by compressing Al-Mg alloys in a very large deformation range, and interpret the results from the viewpoint of phase transitions and critical phenomena. The system undergoes two…

Materials Science · Physics 2009-11-07 Gianfranco D'Anna , Franco Nori

We propose a formula of time-series prediction by means of three states random field Ising model (RFIM). At the economic crisis due to disasters or international disputes, the stock price suddenly drops. The macroscopic phenomena should be…

Trading and Market Microstructure · Quantitative Finance 2013-09-20 Mitsuaki Murota , Jun-ichi Inoue

The aim of this paper is to compare statistical properties of a bubble period with those of the anti-bubble period in stock markets. We investigate the statistical properties of daily data for the Nikkei 225 index in the 28-year period from…

Statistical Mechanics · Physics 2015-06-24 Taisei Kaizoji

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

We investigate the large-fluctuation dynamics in financial markets, based on the minute-to-minute and daily data of the Chinese Indices and German DAX. The dynamic relaxation both before and after the large fluctuations is characterized by…

General Finance · Quantitative Finance 2013-08-21 X. F. Jiang , T. T. Chen , B. Zheng

Price gap, defined as the logarithmic price difference between the first two occupied price levels on the same side of a limit order book (LOB), is a key determinant of market depth, which is one of the dimensions of liquidity. However, the…

Trading and Market Microstructure · Quantitative Finance 2018-02-27 Gao-Feng Gu , Xiong Xiong , Yong-Jie Zhang , Wei Chen , Wei Zhang , Wei-Xing Zhou

It is a challenging task to identify the best possible models based on given empirical data of observed time series. Though the financial markets provide us with a vast amount of empirical data, the best model selection is still a big…

Statistical Finance · Quantitative Finance 2021-11-05 Vygintas Gontis
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