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Present human languages display slightly asymmetric log-normal (Gauss) distribution for size [1-3], whereas present cities follow power law (Pareto-Zipf law)[4]. Our model considers the competition between languages and that between cities…

Computational Physics · Physics 2007-05-23 Caglar Tuncay

Human trajectory data is crucial in urban planning, traffic engineering, and public health. However, directly using real-world trajectory data often faces challenges such as privacy concerns, data acquisition costs, and data quality. A…

Machine Learning · Computer Science 2025-11-05 Qingyue Long , Can Rong , Tong Li , Yong Li

In the 1960's, Mandelstam proposed a new approach to gauge theories and gravity based on loops. The program for gauge theories was completed for Yang--Mills theories by Gambini and Trias in the 1980's. Gauge theories could be understood as…

General Relativity and Quantum Cosmology · Physics 2018-10-18 Rodolfo Gambini , Jorge Pullin

We present a kinetic approach to the formation of urban agglomerations which is based on simple rules of immigration and emigration. In most cases, the Boltzmann-type kinetic description allows to obtain, within an asymptotic procedure, a…

Physics and Society · Physics 2019-05-22 Stefano Gualandi , Giuseppe Toscani

An earlier paper [1] presented a gravity theory based on the optics of de Broglie waves rather than curved space-time. While the universe's geometry is flat, it agrees with the standard tests of general relativity. A second paper [2] showed…

Astrophysics · Physics 2007-05-23 Kris Krogh

Marine invasive species spread through global shipping and generate substantial ecological and economic impacts. Traditional risk assessments require detailed records of ballast water and traffic patterns, which are often incomplete,…

Computational Engineering, Finance, and Science · Computer Science 2025-11-07 Gabriel Spadon , Vaishnav Vaidheeswaran , Claudio DiBacco

We examine whether mobility measures appropriately represent changes in individual status, like income or ranks. We suggest three elementary principles for mobility comparisons and show that many commonly used indices violate one or more of…

General Economics · Economics 2025-02-28 Frank A. Cowell , Emmanuel Flachaire

This article studies the Greek interregional commuting network (GRN) by using measures and methods of complex network analysis and empirical techniques. The study aims to detect structural characteristics of the commuting phenomenon, which…

Physics and Society · Physics 2020-03-19 Dimitrios Tsiotas , Konstantinos Raptopoulos

We present a novel derivation of the spacetime metric generated by matter, without invoking Einstein's field equations. For static sources, the metric arises from a relativistic formulation of D'Alembert's principle, where the inertial…

History and Philosophy of Physics · Physics 2025-10-17 Jaume de Haro , Emilio Elizalde

The information collected by mobile phone operators can be considered as the most detailed information on human mobility across a large part of the population. The study of the dynamics of human mobility using the collected geolocations of…

Social and Information Networks · Computer Science 2013-11-21 Nicolas Ponieman , Alejo Salles , Carlos Sarraute

We propose a bare-bones stochastic model that takes into account both the geographical distribution of people within a country and their complex network of connections. The model, which is designed to give rise to a scale-free network of…

Physics and Society · Physics 2014-02-04 Gerald F. Frasco , Jie Sun , Hernan D. Rozenfeld , Daniel ben-Avraham

The vast majority of travel takes place within cities. Recently, new data has become available which allows for the discovery of urban mobility patterns which differ from established results about long distance travel. Specifically, the…

Physics and Society · Physics 2014-10-28 Xiao Liang , Jichang Zhao , Li Dong , Ke Xu

Assessing mobility in a thorough fashion is a crucial step toward more efficient mobile network design. Recent research on mobility has focused on two main points: analyzing models and studying their impact on data transport. These works…

Networking and Internet Architecture · Computer Science 2007-05-23 Vincent Borrel , Franck Legendre , Marcelo Dias de Amorim , Serge Fdida

In this chapter, we discuss urban mobility from a complexity science perspective. First, we give an overview of the datasets that enable this approach, such as mobile phone records, location-based social network traces, or GPS trajectories…

Physics and Society · Physics 2025-06-23 Laura Alessandretti , Michael Szell

Recent availability of geo-localized data capturing individual human activity together with the statistical data on international migration opened up unprecedented opportunities for a study on global mobility. In this paper we consider it…

Social and Information Networks · Computer Science 2016-01-22 Alexander Belyi , Iva Bojic , Stanislav Sobolevsky , Izabela Sitko , Bartosz Hawelka , Lada Rudikova , Alexander Kurbatski , Carlo Ratti

Trip flow between areas is a fundamental metric for human mobility research. Given its identification with travel demand and its relevance for transportation and urban planning, many models have been developed for its estimation. These…

Physics and Society · Physics 2023-09-06 Erjian Liu , Mattia Mazzoli , Xiao-Yong Yan , Jose J. Ramasco

Human mobility is a key factor in spatial disease dynamics and related phenomena. In computational models host mobility is typically modelled by diffusion in space or on metapolulation networks. Alternatively, an effective force of…

Physics and Society · Physics 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

Understanding and modeling human mobility is central to challenges in transport planning, sustainable urban design, and public health. Despite decades of effort, simulating individual mobility remains challenging because of its complex,…

Physics and Society · Physics 2026-02-10 Ye Hong , Yatao Zhang , Konrad Schindler , Martin Raubal

Understanding the patterns of human mobility between cities has various applications from transport engineering to spatial modeling of the spreading of contagious diseases. We adopt a city-centric, data-driven perspective to quantify such…

Physics and Society · Physics 2022-12-02 Maryam Kiashemshaki , Zhiren Huang , Jari Saramäki

We study the distribution of neighborhoods across a set of 12 global cities and find that the distribution of neighborhood sizes follows exponential decay across all cities under consideration. We are able to analytically show that this…

Physics and Society · Physics 2020-10-15 Anand Sahasranaman , Henrik Jeldtoft Jensen
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