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This research introduces a mathematical framework to comprehending human mobility patterns, integrating mathematical modeling and economic analysis. The study focuses on latent-variable networks, investigating the dynamics of human mobility…

Physics and Society · Physics 2023-07-27 Fabio Vanni

The complexity of navigation in cities has increased with the expansion of urban areas, creating challenging transportation problems that drive many studies on the navigability of networks. However, due to the lack of individual mobility…

Physics and Society · Physics 2022-08-16 Zhuojun Jiang , Lei Dong , Lun Wu , Yu Liu

Multiple-scale mobility is ubiquitous in nature and has become instrumental for understanding and modeling animal foraging behavior. However, the impact of individual movements on the long-term stability of populations remains largely…

Populations and Evolution · Quantitative Biology 2018-04-04 Teodoro Dannemann , Denis Boyer , Octavio Miramontes

The movement of organisms is subject to a multitude of influences of widely varying character: from the bio-mechanics of the individual, over the interaction with the complex environment many animals live in, to evolutionary pressure and…

Biological Physics · Physics 2013-07-18 Friedrich Lenz , Aleksei V. Chechkin , Rainer Klages

Gyration radius of individual's trajectory plays a key role in quantifying human mobility patterns. Of particular interests, empirical analyses suggest that the growth of gyration radius is slow versus time except the very early stage and…

Physics and Society · Physics 2015-05-20 Xiao-Yong Yan , Xiao-Pu Han , Tao Zhou , Bing-Hong Wang

The Levy Walk is the process with continuous sample paths which arises from consecutive linear motions of i.i.d. lengths with i.i.d. directions. Assuming speed 1 and motions in the domain of beta-stable attraction, we prove functional limit…

Probability · Mathematics 2014-08-11 M. Magdziarz , H. P. Scheffler , P. Straka , P. Zebrowski

The recent availability of digital traces from Information and Communications Technologies (ICT) has facilitated the study of both individual- and population-level movement with unprecedented spatiotemporal resolution, enabling us to better…

Physics and Society · Physics 2023-10-10 Surendra Hazarie , Hugo Barbosa , Adam Frank , Ronaldo Menezes , Gourab Ghoshal

Human mobility research concerns spatiotemporal individual and population movement. Accurate modeling and prediction of human mobility can provide opportunities to monitor, manage and optimize human movement for improved social-economic…

Social and Information Networks · Computer Science 2022-02-15 Liantao Li , Yang Yang

Individual-level human mobility prediction has emerged as a significant topic of research with applications in infectious disease monitoring, child, and elderly care. Existing studies predominantly focus on the microscopic aspects of human…

Machine Learning · Computer Science 2025-08-20 Yueyang Liu , Lance Kennedy , Ruochen Kong , Joon-Seok Kim , Andreas Züfle

Commuting is a key mechanism that governs the dynamics of cities. Despite its importance, very little is known of the properties and mechanisms underlying this crucial urban process. Here, we capitalize on $\sim$ 50 million individuals'…

Physics and Society · Physics 2022-04-28 Lei Dong , Paolo Santi , Yu Liu , Siqi Zheng , Carlo Ratti

Cooperation among individuals has been key to sustaining societies. However, natural selection favors defection over cooperation. Cooperation can be favored when the mobility of individuals allows cooperators to form a cluster (or group).…

Populations and Evolution · Quantitative Biology 2022-07-21 Genki Ichinose , Daiki Miyagawa , Erika Chiba , Hiroki Sayama

The importance of understanding human mobility patterns has led many studies to examine their spatial-temporal scaling laws. These studies mainly reveal that human travel can be highly non-homogeneous with power-law scaling distributions of…

Physics and Society · Physics 2021-10-14 Xiaoyan Feng , Huijun Sun , Bnaya Gross , Jianjun Wu , Daqing Li , Xin Yang , Dong Zhou , Ziyou Gao , Shlomo Havlin

This article deals with the experimental study of pedestrian behaviours in some situations of one-dimensional traffic. Participants were pre-organized in a line, and asked to walk either in a straight line with a fast or slow leader, or to…

Physics and Society · Physics 2025-09-09 Cécile Appert-Rolland , Anne-Hélène Olivier , Julien Pettré

We have studied a random walk model based on majority rule. At a given instant, the moving direction of a cargo is determined by motor coordination mediated by a tug-of-war mechanism between two kinds of competing motor proteins. We have…

Biological Physics · Physics 2018-01-03 Hyungseok Chad Moon , Kyungsun Moon

How autonomous vehicles and human drivers share public transportation systems is an important problem, as fully automatic transportation environments are still a long way off. Understanding human drivers' behavior can be beneficial for…

Robotics · Computer Science 2019-11-12 Zhiqian Qiao , Jing Zhao , Zachariah Tyree , Priyantha Mudalige , Jeff Schneider , John M. Dolan

In this paper, we extend some ideas of statistical physics to describe the properties of human mobility. From a physical point of view, we consider the statistical empirical laws of private cars mobility, taking advantage of a GPS database…

Physics and Society · Physics 2015-01-12 Riccardo Gallotti , Armando Bazzani , Sandro Rambaldi

Human mobility is a fundamental process underpinning socioeconomic life and urban structure. Classic theories, such as egocentric activity spaces and central place theory, provide crucial insights into specific facets of movement, like…

Physics and Society · Physics 2025-05-22 Lu Zhong , Lei Dong , Qi Wang , Chaoming Song , Jianxi Gao

L\'{e}vy walks are a particular type of continuous-time random walks which results in a super-diffusive spreading of an initially localized packet. The original one-dimensional model has a simple schematization that is based on starting a…

Statistical Mechanics · Physics 2022-01-05 Yurii Bystrik , Sergey Denisov

We examine the non-Markovian nature of human mobility by exposing the inability of Markov models to capture criticality in human mobility. In particular, the assumed Markovian nature of mobility was used to establish a theoretical upper…

Information Theory · Computer Science 2018-07-31 Vaibhav Kulkarni , Abhijit Mahalunkar , Benoit Garbinato , John D. Kelleher

We propose an analytical method to determine the shape of density profiles in the asymptotic long time limit for a broad class of coupled continuous time random walks which operate in the ballistic regime. In particular, we show that…

Statistical Mechanics · Physics 2015-06-23 D. Froemberg , M. Schmiedeberg , E. Barkai , V. Zaburdaev