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Empirical evidence suggest that most urban systems experience a transition from a monocentric to a polycentric organisation as they grow and expand. We propose here a stochastic, out-of-equilibrium model of the city which explains the…

Physics and Society · Physics 2015-06-17 Rémi Louf , Marc Barthelemy

Spatially embedded networks are shaped by a combination of purely topological (space-independent) and space-dependent formation rules. While it is quite easy to artificially generate networks where the relative importance of these two…

Physics and Society · Physics 2013-09-10 Franco Ruzzenenti , Francesco Picciolo , Riccardo Basosi , Diego Garlaschelli

Urban socioeconomic modeling has predominantly concentrated on extensive location and neighborhood-based features, relying on the localized population footprint. However, networks in urban systems are common, and many urban modeling methods…

Machine Learning · Computer Science 2025-07-08 Devashish Khulbe , Alexander Belyi , Stanislav Sobolevsky

Understanding segregation is essential to develop planning tools for building more inclusive cities. Theoretically, segregation at the work place has been described as lower compared to residential segregation given the importance of skill…

Social and Information Networks · Computer Science 2019-03-14 Teodoro Dannemann , Boris Sotomayor-Gómez , Horacio Samaniego

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

We study a model of competition among nomadic agents for time-varying and location-specific resources, arising in crowd-sourced transportation services, online communities, and traditional location-based economic activity. This model…

Computer Science and Game Theory · Computer Science 2018-08-17 Pu Yang , Krishnamurthy Iyer , Peter Frazier

The digital divide restricting the access of people living in developing areas to the benefits of modern information and communications technologies has become a major challenge and research focus. To well understand and finally bridge the…

Computers and Society · Computer Science 2021-04-09 Chuanting Zhang , Shuping Dang , Basem Shihada , Mohamed-Slim Alouini

The theorems we proved describe the structure of economic equilibrium in the exchange economy model. We have studied the structure of property vectors under given structure of demand vectors at which given price vector is equilibrium one.…

Economics · Quantitative Finance 2016-01-20 Nicholas S. Gonchar , Wolodymyr H. Kozyrski , Anatol S. Zhokhin

This paper proposes a macroscopic model to describe the equilibrium distribution of passenger arrivals for the morning commute problem in a congested urban rail transit system. We use a macroscopic train operation sub-model developed by Seo…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Jiahua Zhang , Kentaro Wada , Takashi Oguchi

Quantifying the improvement in human living standard, as well as the city growth in developing countries, is a challenging problem due to the lack of reliable economic data. Therefore, there is a fundamental need for alternate, largely…

Social and Information Networks · Computer Science 2018-12-04 Jiqian Dong , Gopaljee Atulya , Kartikeya Bhardwaj , Radu Marculescu

In this work, we introduce a compartmental advection-diffusion network model to describe the propagation of stress in a population situated in two interconnected spatial zones during a disaster situation. The model accounts for interactions…

Analysis of PDEs · Mathematics 2024-09-24 Kamal Khalil , Irmand Leblond Mikiela Ndzoumbou

Accurate modeling of human mobility is critical for tackling urban planning and public health challenges. In undeveloped regions, the absence of comprehensive travel surveys necessitates reconstructing mobility networks from publicly…

Artificial Intelligence · Computer Science 2026-04-28 Jinming Yang , Shaoyu Huang , Zongyuan Huang , Yaohui Jin , Xiaokang Yang , Marta C. Gonzalez , Yanyan Xu

This paper explores the design of a balanced data-sharing marketplace for entities with heterogeneous datasets and machine learning models that they seek to refine using data from other agents. The goal of the marketplace is to encourage…

Computer Science and Game Theory · Computer Science 2024-01-25 Aditya Bhaskara , Sreenivas Gollapudi , Sungjin Im , Kostas Kollias , Kamesh Munagala , Govind S. Sankar

Many recent models of trade dynamics use the simple idea of wealth exchanges among economic agents in order to obtain a stable or equilibrium distribution of wealth among the agents. In particular, a plain analogy compares the wealth in a…

General Finance · Quantitative Finance 2015-05-30 J. R. Iglesias , R. M. C. de Almeida

In this paper we analyse the street network of London both in its primary and dual representation. To understand its properties, we consider three idealised models based on a grid, a static random planar graph and a growing random planar…

Data Analysis, Statistics and Probability · Physics 2009-09-07 A. P. Masucci , D. Smith , A. Crooks , M. Batty

This study focuses on analyzing a deterministic SIR model governing the dynamics of the hosts and vectors on an urban network. Our analysis scrutinizes the typical existence--stability of the equilibria as well as the sensitivity of the…

Dynamical Systems · Mathematics 2017-11-13 Karunia Putra Wijaya , Dipo Aldila

While the use of spatial agent-based and individual-based models has flourished across many scientific disciplines, the complexities these models generate are often difficult to manage and quantify. This research reduces population-driven,…

Physics and Society · Physics 2021-08-24 John C. Stevenson

Increasing evidence suggests that cities are complex systems, with structural and dynamical features responsible for a broad spectrum of emerging phenomena. Here we use a unique data set of human flows and couple it with information on the…

Physics and Society · Physics 2021-01-22 Riccardo Gallotti , Giulia Bertagnolli , Manlio De Domenico

We introduce a model in which city populations grow at rates proportional to the area of their "sphere of influence", where the influence of a city depends on its population (to power \alpha) and distance from city (to power -\beta) and…

Physics and Society · Physics 2012-09-25 David Aldous , Bowen Huang

In complex systems, many different parts interact in non-obvious ways. Traditional research focuses on a few or a single aspect of the problem so as to analyze it with the tools available. To get a better insight of phenomena that emerge…

Multiagent Systems · Computer Science 2015-04-03 Klaus Jaffe
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