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Urban systems are intrinsically complex, involving different dimensions and scales, and consequently various approaches and scientific disciplines. In that context, urban simulation models have been coined as essential for the construction…

Computers and Society · Computer Science 2021-05-31 Juste Raimbault

We present a novel analytical framework to examine socio-spatial segregation across multiple spatial scales, explicitly leveraging information theory and percolation theory. This framework emphasizes the interplay between regional…

Physics and Society · Physics 2025-05-22 Mateo Neira , Valentina Marin , Elsa Arcaute

The Schelling model of segregation was introduced in economics to show how micro-motives can influence macro-behavior. Agents on a lattice have two colors and try to move to a different location if the number of their neighbors with a…

Adaptation and Self-Organizing Systems · Physics 2022-10-11 Zhanzhan Zhao , Dana Randall

This paper is mainly devoted to lay an empirical foundation for further research on complex spatial dynamics of two-population interaction. Based on the US population census data, a rural and urban population interaction model is developed.…

Physics and Society · Physics 2016-06-14 Yanguang Chen , Feng Xu

Cities are characterized by the presence of a dense population with a high potential for interactions between individuals of diverse backgrounds. They appear in parallel to the Neolithic revolution a few millennia ago. The advantages…

Physics and Society · Physics 2022-10-12 Elsa Arcaute , Jose J. Ramasco

Social discrimination seems to be a persistent phenomenon in many cultures. It is important to understand the mechanisms that lead people to judge others by the group to which they belong, rather than individual qualities. It was recently…

Adaptation and Self-Organizing Systems · Physics 2019-12-11 Gorm Gruner Jensen , Frederik Tischel , Stefan Bornholdt

Schelling's famous model of segregation assumes agents of different types who would like to be located in neighborhoods having at least a certain fraction of agents of the same type. We consider natural generalizations that allow for the…

Computer Science and Game Theory · Computer Science 2021-05-07 Panagiotis Kanellopoulos , Maria Kyropoulou , Alexandros A. Voudouris

We use a simple physics-inspired model to get an idea about how to enhance the speed with which a society becomes educated if we strategically place our knowledge spreading centers (teachers or educational institutions). We study knowledge…

Physics and Society · Physics 2023-03-02 Saurish Chakrabarty

We present a novel method for analysing socio-spatial segregation in cities by considering constraints imposed by transportation networks. Using a multilayered network approach, we model the interaction probabilities of socio-economic…

Physics and Society · Physics 2023-09-27 Mateo Neira , Carlos Molinero , Stephen Marshall , Elsa Arcaute

A model of the urban agglomeration and segregation is formulated, in which two types of agents move around on the square-lattice aligned cells. The model is shown to exhibit, when the density of agents are varied as the control parameter,…

Physics and Society · Physics 2023-07-24 Taksu Cheon , Michikazu Kobayashi

In the present article we consider the Schelling model, an agent-based model describing a segregation dynamics when we have a cohabitation of two social groups. As for several social models, the behaviour of the Schelling model was analyzed…

Probability · Mathematics 2024-01-10 Florent Barret , Niccolo Torri

We derived the critical neighborhood demand in the Schelling's segregation model by studying the conditions for which a chain reaction of migrations of unsatisfied agents occurs. The essence of Schelling dynamics was approximated in two…

Adaptation and Self-Organizing Systems · Physics 2014-02-07 Jae Kyun Shin , Hiroki Sayama

Segregation is a widely recognised phenomenon with profound implications for societies worldwide. From political science and gender studies to anthropology and urban studies, it has garnered considerable attention across numerous scientific…

Social and Information Networks · Computer Science 2024-10-22 Vini Netto , Kimon Krenz , Maria Fiszon , Otávio Peres , Desirée Rosalino

We study the problem of community detection in a general version of the block spin Ising model featuring M groups, a model inspired by the Curie-Weiss model of ferromagnetism in statistical mechanics. We solve the general problem of…

Probability · Mathematics 2023-12-01 Miguel Ballesteros , Ramsés H. Mena , José Luis Pérez , Gabor Toth

The Ising model, originally developed for understanding magnetic phase transitions, has become a cornerstone in the study of collective phenomena across diverse disciplines. In this review, we explore how Ising and Ising-like models have…

Physics and Society · Physics 2025-07-01 Pratik Mullick , Parongama Sen

Scaling has been proposed as a powerful tool to analyze the properties of complex systems, and in particular for cities where it describes how various properties change with population. The empirical study of scaling on a wide range of…

Physics and Society · Physics 2018-04-18 Jules Depersin , Marc Barthelemy

Researchers in physics education have advocated both for including modeling in science classrooms as well as promoting student engagement with sensemaking. These two processes facilitate the generation of new knowledge by connecting to…

Physics Education · Physics 2023-01-31 Amogh Sirnoorkar , James T. Laverty , Paul D. O. Bergeron

In the Axelrod's model of cultural dissemination, we consider mobility of cultural agents through the introduction of a density of empty sites and the possibility that agents in a dissimilar neighborhood can move to them if their mean…

Physics and Society · Physics 2015-05-13 C. Gracia-Lazaro , L. F. Lafuerza , L. M. Floria , Y. Moreno

Linking the microscopic and macroscopic behavior is at the heart of many natural and social sciences. This apparent similarity conceals essential differences across disciplines: while physical particles are assumed to optimize the global…

Physics and Society · Physics 2009-12-09 Sébastian Grauwin , Eric Bertin , Rémi Lemoy , Pablo Jensen

Urbanization has been the dominant demographic trend in the entire world, during the last half century. Rural to urban migration, international migration, and the re-classification or expansion of existing city boundaries have been among…

Physics and Society · Physics 2013-12-19 Philippe Blanchard , Dimitri Volchenkov