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Over the last decades, impressive progresses have been made in many experimental domains, e.g. microscopic techniques such as single-particle tracking, leading to plethoric amounts of data. In a large variety of systems, from natural to…

Statistical Mechanics · Physics 2022-06-03 Xavier Durang , Hyerim Ahn , Jae Youn Shim , Hye Yoon Park , Jae-Hyung Jeon

Following findings by Ormerod and Mounfield, Wright rises the problem whether a power or an exponential law describes the distribution of occurrences of economic recession periods. In order to clarify the controversy a different set of GDP…

Statistical Mechanics · Physics 2009-11-10 Marcel Ausloos , Janusz Miskiewicz , Michele Sanglier

In this paper we present an analysis of power law statistics on land markets. There have been no other studies that have analyzed power law statistics on land markets up to now. We analyzed a database of the assessed value of land, which is…

Statistical Mechanics · Physics 2013-09-11 Taisei Kaizoji

In this paper we address the question of the size distribution of firms. To this aim, we use the Bloomberg database comprising multinational firms within the years 1995-2003, and analyze the data of the sales and the total assets of the…

Physics and Society · Physics 2013-09-11 Taisei Kaizoji , Hiroshi Iyetomi , Yuichi Ikeda

The current distribution of language size in terms of speaker population is generally described using a lognormal distribution. Analyzing the original real data we show how the double-Pareto lognormal distribution can give an alternative…

Physics and Society · Physics 2015-05-13 V. Schwämmle , Silvio M. D. Queirós , E. Brigatti , T. Tchumatchenko

We show power-scaling behaviors for fluctuations in share volume, which no other studies have so far done. After analyzing a database of the daily transactions for all securities listed on the Tokyo Stock Exchange, we selected 1050 large…

Statistical Mechanics · Physics 2018-08-07 Taisei Kaizoji , Masahide Nuki

More than one billion data sampled with different frequencies from several financial instruments were investigated with the aim of testing whether they involve power law. As a result, a known power law with the power exponent around -4 was…

Statistical Finance · Quantitative Finance 2020-10-06 Caglar Tuncay

In recent years it has been increasing evidence that lognormal distributions are widespread in physical and biological sciences, as well as in various phenomena of economics and social sciences. In social sciences, the appearance of…

Physics and Society · Physics 2018-09-06 Stefano Gualandi , Giuseppe Toscani

Statistical properties of an order book and the effect they have on price dynamics were studied using the high-frequency NASDAQ Level II data. It was observed that the size distribution of marketable orders (transaction sizes) has power law…

Statistical Mechanics · Physics 2009-11-07 Sergei Maslov , Mark Mills

We study the distributions of money in a simple closed economic system for different types of monetary transactions. We know that for arbitrary and random sharing but locally conserving money transactions, the money distribution goes to the…

Statistical Mechanics · Physics 2009-11-07 Anirban Chakraborti

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

Starting from a master equation, we derive the evolution equation for the size distribution of elements in an evolving system, where each element can grow, divide into two, and produce new elements. We then probe general solutions of the…

Statistical Mechanics · Physics 2011-04-05 Segun Goh , H. W. Kwon , M. Y. Choi , Jean-Yves Fortin

This study investigates the emergence of power-law and other concentrated distributions through a feedback loop model in crowd interactions. Agents act by their response functions to observations and external forces, while observations…

General Economics · Economics 2024-12-18 Jake J. Xia

What dynamics govern a time series representing the appearance of words in social media data? In this paper, we investigate an elementary dynamics, from which word-dependent special effects are segregated, such as breaking news, increasing…

Physics and Society · Physics 2017-07-31 Hayafumi Watanabe

The electronic distribution in devices with sufficiently small diemnsions may not be in thermal equilibrium with their surroundings. Systems where the occupancies of electronic states are solely determined by tunneling processes are…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 N. García , F. Guinea

We develop a numerical growth model which can predict the statistical properties of the height distribution of Japanese children. Our previous studies have clarified that the height distribution of schoolchildren shows a transition from the…

Data Analysis, Statistics and Probability · Physics 2014-02-18 Hiroto Kuninaka , Mitsugu Matsushita

The discovery of two fundamental laws concerning cellular dynamics with recursive growth is reported. First, the chemical abundances measured over many cells are found to obey a log-normal distribution and second, the relationship between…

Molecular Networks · Quantitative Biology 2007-05-23 Chikara Furusawa , Takao Suzuki , Akiko Kashiwagi , Tetsuya Yomo , Kunihiko Kaneko

The total number of patents produced by a country (or the number of patents produced per capita) is often used as an indicator for innovation. Here we present evidence that the distribution of patents amongst applicants within many OECD…

Physics and Society · Physics 2015-06-04 D. R. J. O'Neale , S. C. Hendy

Presented is an analytic microeconomic model of the temporal price dispersion of homogeneous goods in polypoly markets. This new approach is based on the idea that the price dispersion has its origin in the dynamics of the purchase process.…

Economics · Quantitative Finance 2015-09-04 Joachim Kaldasch

Power law distributions have been repeatedly observed in a wide variety of socioeconomic, biological and technological areas. In many of the observations, e.g., city populations and sizes of living organisms, the objects of interest evolve…

Probability · Mathematics 2009-09-29 Predrag R. Jelenkovic , Jian Tan