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The rank-size plots of a large number of different physical and socio-economic systems are usually said to follow Zipf's law, but a unique framework for the comprehension of this ubiquitous scaling law is still lacking. Here we show that a…

Physics and Society · Physics 2021-02-03 Giordano De Marzo , Andrea Gabrielli , Andrea Zaccaria , Luciano Pietronero

We study the drivers and spatial diffusion of U.S. state population growth using a dynamic spatial model for 49 states, 1965-2017. Methodologically, we recover the spatial network structure from the data, rather than imposing it a priori…

Econometrics · Economics 2026-01-16 Sebastian Kripfganz , Vasilis Sarafidis

Movement behavior of biological entities plays a crucial role in their destiny through regulating their intraspecific and interspecific interactions as well as their interaction with surrounding environment. In spite of various models for…

Tissues and Organs · Quantitative Biology 2017-11-10 Youness Azimzade

We explore the connection between migration patterns and emergent behaviors of evolving populations in spatially heterogeneous environments. Despite extensive studies in ecologically and medically important systems, a unifying framework…

Populations and Evolution · Quantitative Biology 2024-01-10 Casey O. Barkan , Shenshen Wang

Ecologists have long investigated how demographic and movement parameters determine the spatial distribution and critical habitat size of a population. However, most models oversimplify movement behavior, neglecting how landscape…

Populations and Evolution · Quantitative Biology 2024-03-11 Vivian Dornelas , Pablo de Castro , Justin M. Calabrese , William F. Fagan , Ricardo Martinez-Garcia

Accurate modelling of local population movement patterns is a core contemporary concern for urban policymakers, affecting both the short term deployment of public transport resources and the longer term planning of transport infrastructure.…

Physics and Society · Physics 2019-05-21 Chico Q. Camargo , Jonathan Bright , Scott A. Hale

The mobility patterns of people in cities evolve alongside changes in land use and population. This makes it crucial for urban planners to simulate and analyze human mobility patterns for purposes such as transportation optimization and…

Machine Learning · Computer Science 2025-07-17 Seanglidet Yean , Jiazu Zhou , Bu-Sung Lee , Markus Schläpfer

Evolutionary graph theory is a well established framework for modelling the evolution of social behaviours in structured populations. An emerging consensus in this field is that graphs that exhibit heterogeneity in the number of connections…

Populations and Evolution · Quantitative Biology 2018-11-20 Wes Maciejewski , Feng Fu , Christoph Hauert

Half of the world population resides in cities and urban segregation is becoming a global issue. One of the best known attempts to understand it is the Schelling model, which considers two types of agents that relocate whenever a transfer…

Physics and Society · Physics 2022-11-09 Diego Ortega , Javier Rodríguez-Laguna , Elka Korutcheva

In this paper, we focus on the influence of heterogeneity and stochasticity of the population on the dynamical structure of a basic susceptible-infected-susceptible (SIS) model. First we prove that, upon a suitable mathematical…

Dynamical Systems · Mathematics 2017-02-28 Andreas Widder , Christian Kuehn

Human mobility, a pivotal aspect of urban dynamics, displays a profound and multifaceted relationship with urban sustainability. Despite considerable efforts analyzing mobility patterns over decades, the ranking dynamics of urban mobility…

Physics and Society · Physics 2025-03-12 Hao Wang

Scramble intersections stand as compelling examples of complex systems, shedding light on the pressing challenge of urban mobility. In this paper, we introduce a model aimed at unraveling the statistical intricacies of pedestrian crossing…

Physics and Society · Physics 2023-10-04 Eduardo V. Stock , Roberto da Silva

Urban morphology has long been recognized as a factor shaping human mobility, yet comparative and formal classifications of urban form across metropolitan areas remain limited. Building on theoretical principles of urban structure and…

Physics and Society · Physics 2025-11-13 Juan Fernando Riascos-Goyes , Michael Lowry , Nicolás Guarín-Zapata , Juan P. Ospina

A stochastic model for a mobile network is studied. Users enter the network, and then perform independent Markovian routes between nodes where they receive service according to the Processor-Sharing policy. Once their service requirement is…

Probability · Mathematics 2010-01-14 Florian Simatos , Danielle Tibi

Despite the rapid growth of cities in the past century, our quantitative, in-depth understanding of how cities grow remains limited due to a consistent lack of historical data. Thus, the scaling laws between a city's features and its…

Physics and Society · Physics 2024-12-18 Keith Burghardt , Johannes H. Uhl , Kristina Lerman , Stefan Leyk

In an impending urban age where the majority of the world's population will live in cities, it is critical that we improve our understanding of the strengths and limitations of existing city designs to ensure they are safe, clean, can…

A broad set of empirical phenomenon in the study of social, economic and machine behaviour can be modelled as complex systems with averaging dynamics. However many of these models naturally result in consensus or consensus-like outcomes. In…

Multiagent Systems · Computer Science 2020-07-03 Orowa Sikder

Climate change mitigation in urban mobility requires policies reconfiguring urban form to increase accessibility and facilitate low-carbon modes of transport. However, current policy research has insufficiently assessed urban form effects…

Human travelling behaviours are markedly regular, to a large extent, predictable, and mostly driven by biological necessities (\eg sleeping, eating) and social constructs (\eg school schedules, synchronisation of labour). Not surprisingly,…

Is there a general economic pathway recapitulated by individual cities over and over? Identifying such evolution structure, if any, would inform models for the assessment, maintenance, and forecasting of urban sustainability and economic…

Physics and Society · Physics 2020-08-27 Inho Hong , Morgan R. Frank , Iyad Rahwan , Woo-Sung Jung , Hyejin Youn