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Many-body stochastic processes with weighted multiplicative interactions are investigated analytically and numerically. An interaction rate between particles with quantities $x, y$ is controlled by a homogeneous symmetric kernel $K(x, y)…

Statistical Mechanics · Physics 2007-05-23 Akihiro Fujihara , Satoshi Tanimoto , Toshiya Ohtsuki , Hiroshi Yamamoto

In the spirit of the emergent field of econophysics, a goodness-of-fit test for the Power-Law distribution, based on the Empirical Distribution Function (EDF) is presented, and related problems are discussed. An analysis of the tail…

Statistical Mechanics · Physics 2019-10-23 H. F. Coronel-Brizio , C. R. de la Cruz-Laso , A. R. Hernandez-Montoya

The effects of saving and spending patterns on holding time distribution of money are investigated based on the ideal gas-like models. We show the steady-state distribution obeys an exponential law when the saving factor is set uniformly,…

Physics and Society · Physics 2009-11-11 Ning Ding , Ning Xi , Yougui Wang

Employing profits data of Japanese firms in 2003--2005, we kinematically exhibit the static log-normal distribution in the middle scale region. In the derivation, a Non-Gibrat's law under the detailed balance is adopted together with…

General Finance · Quantitative Finance 2008-12-10 Atushi Ishikawa

We study the statistics of the amplitude of the synchronization error in chaotic electronic circuits coupled through linear feedback. Depending on the coupling strength, our system exhibits three qualitatively different regimes of…

Distributed energy resources behind the meter and automation systems enable traditional electricity consumers to become prosumers (producers/consumers) that can participate in peer-to-peer exchange of electricity and in retail electricity…

Systems and Control · Electrical Eng. & Systems 2021-03-05 Eve Tsybina , Justin Burkett , Santiago Grijalva

In this paper, we are analyzing the interactivity time, defined as the duration between two consecutive tasks such as sending emails, collecting friends and followers and writing comments in online social networks (OSNs). The distributions…

Social and Information Networks · Computer Science 2016-07-12 Norbert Blenn , Piet Van Mieghem

We study the growth dynamics of the size of manufacturing firms considering competition and normal distribution of competency. We start with the fact that all components of the system struggle with each other for growth as happened in real…

Statistical Mechanics · Physics 2009-11-07 Hari M. Gupta , Jose R. Campanha

Power-law distributions are typical macroscopic features occurring in almost all complex systems observable in nature. As a result, researchers in quantitative analyses must often generate random synthetic variates obeying power-law…

Physics and Society · Physics 2014-11-11 Filippo Radicchi

We investigate the shape of the Italian personal income distribution using microdata from the Survey on Household Income and Wealth, made publicly available by the Bank of Italy for the years 1977--2002. We find that the upper tail of the…

Other Condensed Matter · Physics 2009-01-31 F. Clementi , M. Gallegati

Many natural processes exhibit power-law behavior. The power-law exponent is linked to the underlying physical process and therefore its precise value is of interest. With respect to the energy content of nanoflares, for example, a…

Solar and Stellar Astrophysics · Physics 2016-05-24 Elke D'Huys , David Berghmans , Daniel B. Seaton , Stefaan Poedts

The power-law distribution is ubiquitous and its mechanism seems to be various. We find a general mechanism for the distribution. The distribution of a geometrically growing system can be approximated by a log - completely squared chi…

Statistical Mechanics · Physics 2024-06-19 Chol-Jun Kim

[Purpose] To better understand the online reviews and help potential consumers, businessmen, and product manufacturers effectively obtain users' evaluation on product aspects, this paper explores the distribution regularities of user…

Computation and Language · Computer Science 2022-09-09 Chenglei Qin , Chengzhi Zhang , Yi Bu

Research on human online activities usually assumes that total activity $T$ increases linearly with active population $P$, that is, $T\propto P^{\gamma}(\gamma=1)$. However, we find examples of systems where total activity grows faster than…

Physics and Society · Physics 2011-08-23 Lingfei Wu , Jiang Zhang

The log-normal distribution is used to describe the positive data, that it has skewed distribution with small mean and large variance. This distribution has application in many sciences for example medicine, economics, biology and…

Methodology · Statistics 2015-08-10 Saba Aghadoust , Kamel Abdollahnezhad , Farhad Yaghmaei , Ali Akbar Jafari

Economy is demanding new models, able to understand and predict the evolution of markets. To this respect, Econophysics offers models of markets as complex systems, that try to comprehend macro-, system-wide states of the economy from the…

Trading and Market Microstructure · Quantitative Finance 2015-05-20 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

We investigate the distribution function and the cumulative probability for Korean household incomes, i.e., the current, labor, and property incomes. For our case, the distribution functions are consistent with a power law. It is also…

Statistical Mechanics · Physics 2008-12-02 Kyungsik Kim , Seong-Min Yoon

Following the work of Okuyama, Takayasu and Takayasu [Okuyama, Takayasu and Takayasu 1999] we analyze huge databases of Japanese companies' financial figures and confirm that the Zipf's law, a power law distribution with the exponent -1,…

Statistical Mechanics · Physics 2008-12-02 Takayuki Mizuno , Makoto Katori , Hideki Takayasu , Misako Takayasu

In this paper, we describe a newly discovered statistical property of time series data for daily price changes. We conducted quantitative investigation of the {\it calm-time intervals} of price changes for 800 companies listed in the Tokyo…

Statistical Mechanics · Physics 2013-09-11 Taisei Kaizoji , Michiyo Kaizoji

The United States' power market is featured by the lack of judicial power at the federal level. The market thus provides a unique testing environment for the market organization structure. At the same time, the econometric modeling and…

Econometrics · Economics 2018-06-13 Chelsea Sun