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Elections, specially in countries such as Brazil with an electorate of the order of 100 million people, yield large-scale data-sets embodying valuable information on the dynamics through which individuals influence each other and make…

Physics and Society · Physics 2015-10-05 Angelo Mondaini Calvão , Nuno Crokidakis , Celia Anteneodo

Understanding the properties of response time distributions is a long-standing problem in cognitive science. We provide a tutorial overview of several contemporary models that assume power law scaling is a plausible description of the…

Neurons and Cognition · Quantitative Biology 2015-10-15 Z. Liu , O. Pavlov Garcia , J. G. Holden , R. A. Serota

For a large class of statistical systems a geometric mean value of the observables is constrained. These observables are characterized by a power-law statistical distribution.

Statistical Mechanics · Physics 2007-05-23 A. Rostovtsev

Power law size distribution is found to associate with fractal, self-organized behaviors and patterns of complex systems. Such distribution also emerges from natural lakes, with potentially important links to the dynamics of lake systems.…

Statistical Mechanics · Physics 2023-10-09 Shengjie Hu , Zhenlei Yang , Sergio Torres , Zipeng Wang , Ling Li

[Takayasu et al., Phys. Rev.Lett. 79, 966 (1997)] revisited the question of stochastic processes with multiplicative noise, which have been studied in several different contexts over the past decades. We focus on the regime, found for a…

Statistical Mechanics · Physics 2009-10-30 D. Sornette

In most countries, alcohol consumption distributions have been shown to possess universal features. Their unimodal right-skewed shape is usually modeled in terms of the Lognormal distribution, which is easy to fit, test, and modify.…

Physics and Society · Physics 2020-01-08 Giacomo Dimarco , Giuseppe Toscani

Monte carlo simulation of paths of a large number of impinging electrons in a multi-layered solid allows to define area of spreading electrons (A) to capture overall behavior of the solid. This parameter 'A' follows power law with electron…

Mesoscale and Nanoscale Physics · Physics 2016-01-11 Moirangthem Shubhakanta Singh , R. K. Brojen Singh

This work systematically conducts a data analysis based on the numbers of both cumulative and daily confirmed COVID-19 cases and deaths in a time span through April 2020 to June 2022 for over 200 countries around the world. Such research…

Populations and Evolution · Quantitative Biology 2023-03-20 Peng Liu , Yanyan Zheng

The sectoral synchronization observed for the Japanese business cycle in the Indices of Industrial Production data is an example of synchronization. The stability of this synchronization under a shock, e.g., fluctuation of supply or demand,…

Statistical Finance · Quantitative Finance 2011-11-01 Y. Ikeda , H. Aoyama , Y. Fujiwara , H. Iyetomi , K. Ogimoto , W. Souma , H. Yoshikawa

Models of how things spread often assume that transmission mechanisms are fixed over time. However, social contagions--the spread of ideas, beliefs, innovations--can lose or gain in momentum as they spread: ideas can get reinforced, beliefs…

The Boltzmann distribution predicts the collective behavior of systems at thermodynamic equilibrium as a function of their constituent parts. Yet most systems in nature are not at equilibrium, and a unified theory of their behavior does not…

Statistical Mechanics · Physics 2018-10-16 Milo M. Lin

We introduce a stochastic model to explain a double power-law distribution which exhibits two different Paretian behaviors in the upper and the lower tail and widely exists in social and economic systems. The model incorporates fitness…

Physics and Society · Physics 2011-04-25 D. D. Han , J. H. Qian , Y. G. Ma

We show that there is a link between the Kuramoto paradigm and another system of synchronized oscillators, namely an electrical power distribution grid of generators and consumers. The purpose of this work is to show both the formal analogy…

Chaotic Dynamics · Physics 2009-11-13 Giovanni Filatrella , Arne Hejde Nielsen , Niels Falsig Pedersen

With the deregulation of power industry, large power users can buy electricity directly from power producers. For trades between different regional markets, it is necessary to research on the method to find the cheapest route for power…

Optimization and Control · Mathematics 2017-11-08 Xue Tai , Hongbin Sun , Qinglai Guo , Zihao Li

The daily volume of transaction on the New York Stock Exchange and its day-to-day fluctuations are analysed with respect to power-law tails as well long-term trends. We also model the transition to a Gaussian distribution for longer time…

Physics and Society · Physics 2009-11-11 Caglar Tuncay , Dietrich Stauffer

We develop a Bayesian state-space model for analyzing the dynamic evolution of income distributions using grouped income data. The model combines the generalized beta distribution of the second kind (GB2) with latent time-varying parameters…

Econometrics · Economics 2026-05-19 Kazuhiko Kakamu

A dynamic model of the product lifecycle of (nearly) homogeneous durables in polypoly markets is established. It describes the concurrent evolution of the unit sales and price of durable goods. The theory is based on the idea that the sales…

Other Statistics · Statistics 2015-09-14 Joachim Kaldasch

A multicanonical formalism is applied to the problem of statistical equilibrium in a complex system with a hierarchy of dynamical structures. At the small scales the system is in quasi-equilibrium and follows a Maxwell-Boltzmann…

Statistical Mechanics · Physics 2012-08-29 G. L. Vasconcelos , D. S. P. Salazar

In vitro velocities of several cell types have been measured using computer controlled video microscopy, which allowed to record the cells' trajectories over several days. On the basis of our large data sets we show that the locomotion…

Biological Physics · Physics 2009-10-31 A. Czirok , K. Schlett , E. Madarasz , T. Vicsek

In a recent letter, Barabasi claims that the dynamics of a number of human activities are scale-free [1]. He specifically reports that the probability distribution of time intervals tau between consecutive e-mails sent by a single user and…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Daniel B. Stouffer , R. Dean Malmgren , Luis A. N. Amaral