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As part of the effort undertaken to understand urban environments and their generation, we need to explore models that produce statistically valid configurations of roads. These sort of models will help us to derive plausible mechanisms for…

Physics and Society · Physics 2020-01-23 Carlos Molinero , Alberto Hernando

Economic engineering is a new field wherein economic systems are modelled in the same manner as traditional mechanical and electrical engineering systems. In this paper, we use Newton's theory of motion as the basis for the theory of…

Systems and Control · Electrical Eng. & Systems 2023-10-27 Max Mendel

The congestion formation on a urban road network is one of the key issue for the development of a sustainable mobility in the future smart cities. In this work we propose a reductionist approach studying the stationary states of a simple…

Physics and Society · Physics 2024-05-28 Lorenzo Di Meco , Mirko Degli Esposti , Federico Bellisardi , Armando Bazzani

This paper, in French, describes a series of completely different behaviours of the mechanics of granular matter, which are obtained experimentally using periodic forcing at different amplitude, frequency and orientation. It starts with the…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque

Segregation is a growing concern around the world. One of its main manifestations is the creation of ghettos, whose inhabitants have difficult access to well-paid jobs, which are often located far from their homes. In order to study this…

Physics and Society · Physics 2025-12-23 D. Ortega , E. Korutcheva

The quest for a theory of cities that could offer a quantitative and systematic approach to manage cities is at the top priority, given the challenges humanity faces due to the increasing urbanization and densification of cities. If such a…

Physics and Society · Physics 2021-11-17 Fabiano L. Ribeiro , Diego Rybski

An important issue in the study of cities is defining a metropolitan area, as different definitions affect the statistical distribution of urban activity. A commonly employed method of defining a metropolitan area is the Metropolitan…

The application of principles of thermodynamics and statistical mechanics to economic systems is considered in a broad historical perspective, extending from prehistoric times to the present day. The hypothesis of maximum entropy production…

Statistical Mechanics · Physics 2007-05-23 Alastair D. Jenkins

We study a model of retail agglomeration where consumers are more likely to visit zones with a higher concentration of shops. This agglomerative effect makes zones with many retailers more attractive. The spatial distribution of retailers…

Theoretical Economics · Economics 2025-08-05 Minoru Osawa , Takashi Akamatsu , Yosuke Kogure

We study the influence of the bulk dynamics of a growing cluster of particles on the properties of its interface. First, we define a {\it general bulk growth model} by means of a continuum Master equation for the evolution of the bulk…

Statistical Mechanics · Physics 2009-10-31 Cristobal Lopez , Pedro L. Garrido , Francisco de los Santos

This manuscript develops the theory of agglomerative clustering with Bregman divergences. Geometric smoothing techniques are developed to deal with degenerate clusters. To allow for cluster models based on exponential families with…

Machine Learning · Computer Science 2012-07-03 Matus Telgarsky , Sanjoy Dasgupta

The city is a complex system that evolves through its inherent social and economic interactions. Mediating the movements of people and resources, urban street networks offer a spatial footprint of these activities; consequently their…

Physics and Society · Physics 2018-04-19 Minjin Lee , Hugo Barbosa , Hyejin Youn , Petter Holme , Gourab Ghoshal

Motivated by the empirical analysis of the air transportation system, we define a network model that includes geographical attributes along with topological and weight (traffic) properties. The introduction of geographical attributes is…

Physics and Society · Physics 2007-05-23 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

Intricate interactions among firms, institutions, and spatial structures shape urban economic systems. In this study, we propose a framework based on three structural dimensions -- abundance, diversity, and longevity (ADL) of economic units…

Physics and Society · Physics 2026-01-28 Marco A. Rosas Pulido , Roberto Murcio , Omar R. Vázquez , Carlos Gershenson

In order to study the phenomenon of regional economic development and urban expansion from the perspective of night-light remote sensing images, researchers use NOAA-provided night-light remote sensing image data (data from 1992 to 2013)…

General Economics · Economics 2021-05-24 Jiongyan Zhang

The spatial heterogeneity of cities -- the uneven distribution of population and activities -- is fundamental to urban dynamics and related to critical issues such as infrastructure overload, housing affordability, and social inequality.…

Physics and Society · Physics 2025-11-14 Hao Huang , Yuming Lin , Jiazhen Liu

Green areas are a crucial element in evolution of a city, contributing to improve citizens' life, to reduce effects of climate change, and to make possible the survival of other species in urban areas. Unfortunately, the above effects are…

Understanding demographic and migrational patterns constitutes a great challenge. Millions of individual decisions, motivated by economic, political, demographic, rational, and/or emotional reasons underlie the high complexity of…

Physics and Society · Physics 2013-12-09 A. Hernando , R. Hernando , A. Plastino

This article aims to present an elementary analytical solution to the question of the formation of a structure of differentiation of rates of return in a classical gravitation model and in a model of the dynamics of price-wage spirals.

General Finance · Quantitative Finance 2018-12-06 Afifa Alintissar , Abdelkader Intissar , Jean-karim Intissar

Human mobility, enabled by diverse transportation modes, is fundamental to urban functionality. Studying these movements across scales-from microscopic to macroscopic-yields valuable insights into urban dynamics. Local adaptation and…

Disordered Systems and Neural Networks · Physics 2026-05-21 Babak Benam , Abolfazl Ramezanpour