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It turns out that some empirical facts in Big Data are the effects of properties of large numbers. Zipf's law 'noise' is an example of such an artefact. We expose several properties of the power law distributions and of similar distribution…

Physics and Society · Physics 2023-05-09 Horia-Nicolai L. Teodorescu

We propose a stochastic map model of economic dynamics. In the last decade, an array of observations in economics has been investigated in the econophysics literature, a major example being the universal features of inequality in terms of…

General Finance · Quantitative Finance 2015-05-27 Anindya S. Chakrabarti

What people buy is an important aspect or view of lifestyles. Studying people's shopping patterns in different urban regions can not only provide valuable information for various commercial opportunities, but also enable a better…

Social and Information Networks · Computer Science 2017-01-24 Tianran Hu , Ruihua Song , Yingzi Wang , Xing Xie , Jiebo Luo

Lifestyles are a valuable model for understanding individuals' physical and mental lives, comparing social groups, and making recommendations for improving people's lives. In this paper, we examine and compare lifestyle behaviors of people…

Social and Information Networks · Computer Science 2017-01-24 Tianran Hu , Eric Bigelow , Jiebo Luo , Henry Kautz

Ignoring the differences between countries, human reproductive and dispersal behaviors can be described by some standardized models, so whether there is a universal law of population growth hidden in the abundant and unstructured data from…

Physics and Society · Physics 2024-02-08 Jiajun Ma , Qinghua Chen , Xiaosong Chen , Jingfang Fan , Xiaomeng Li , Yi Shi

The idea of intersectionality has become a frequent topic of discussion both in academic sociology, as well as among popular movements for social justice such as Black Lives Matter, intersectional feminism, and LGBT rights.…

Physics and Society · Physics 2021-10-26 Thomas F. Varley , Patrick Kaminski

This paper explores a real-world fundamental theme under a data science perspective. It specifically discusses whether fraud or manipulation can be observed in and from municipality income tax size distributions, through their aggregation…

Statistical Finance · Quantitative Finance 2018-05-22 Marcel Ausloos , Roy Cerqueti , Tariq A. Mir

The uneven distribution of wealth and individual economic capacities are among the main forces which shape modern societies and arguably bias the emerging social structures. However, the study of correlations between the social network and…

Social and Information Networks · Computer Science 2016-12-15 Yannick Leo , Eric Fleury , J. Ignacio Alvarez-Hamelin , Carlos Sarraute , Márton Karsai

We address the role of multiplicative stochastic processes in modeling the occurrence of power-law city size distributions. As an explanation of the result of Zipf's rank analysis, Simon's model is presented in a mathematically elementary…

Physics and Society · Physics 2007-05-23 Damian H. Zanette

The personal income distribution (PID) above the Pareto threshold is studied and modeled. A microeconomic model is proposed to simulate the PID and its evolution below and above the Pareto income threshold. The model balances processes of…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov

Urban population density always follows the exponential distribution and can be described with Clark's model. Because of this, the spatial distribution of urban population used to be regarded as non-fractal pattern. However, Clark's model…

Physics and Society · Physics 2016-06-15 Yanguang Chen , Jian Feng

Given the rapid recent trend of urbanization, a better understanding of how urban infrastructure mediates socioeconomic interactions and economic systems is of vital importance. While the accessibility of location-enabled devices as well as…

We present a model in which we investigate the structure and evolution of a random network that connects agents capable of exchanging wealth. Economic interactions between neighbors can occur only if the difference between their wealth is…

Physics and Society · Physics 2015-06-19 A. Agreda , K. Tucci

Cities attract a daily influx of non-resident commuters, reflecting their roles within wider urban networks -- not as isolated places. However, it remains unclear how this interconnectivity shapes the way crime scales with population, given…

Physics and Society · Physics 2025-10-28 Simon Puttock , Umberto Barros , Diego Pinheiro , Marcos Oliveira

Understanding the relationship between population and the built environment is essential for addresing socio-spatial inequalities. While researchers have long theorized these dynamics, empirical analyses remain limited. This study develops…

Computers and Society · Computer Science 2026-03-12 Anna Brazdova , Martin Fleischmann

Measures of wealth and production have been found to scale superlinearly with the population of a city. Therefore, it makes economic sense for humans to congregate together in dense settlements. A recent model of population dynamics showed…

Physics and Society · Physics 2016-12-28 James PL Tan

Population annealing is an efficient sequential Monte Carlo algorithm for simulating equilibrium states of systems with rough free energy landscapes. The theory of population annealing is presented, and systematic and statistical errors are…

Disordered Systems and Neural Networks · Physics 2015-12-21 Wenlong Wang , Jonathan Machta , Helmut G. Katzgraber

Migration the main process shaping patterns of human settlement within and between countries. It is widely acknowledged to be integral to the process of human development as it plays a significant role in enhancing educational outcomes. At…

General Economics · Economics 2018-12-24 Aude Bernard , Martin Bell

Recent advances in the urban science make broad use of the notion of scaling. We focus here on the important scaling relationship between the gross metropolitan product (GMP) of a city and its population (pop). It has been demonstrated that…

Physics and Society · Physics 2016-09-28 Emanuele Strano , Vishal Sood

Population annealing is an easily parallelizable sequential Monte Carlo algorithm that is well-suited for simulating the equilibrium properties of systems with rough free energy landscapes. In this work we seek to understand and improve the…

Statistical Mechanics · Physics 2018-03-20 Chris Amey , Jon Machta
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