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As the current thermo-industrial civilization expands, its technological and societal complexities increase. We suggest that physical power, economic activity and societal complexity are linked. A simple, intuitive model based on Systems…

Physics and Society · Physics 2026-05-11 Jerome Lewandowski

This chapter is about Complexity and Spatial Dynamics in Urban Systems. Strong inequalities in the size of cities and the apparent difficulty of limiting their growth raise practical issues for spatial planning. At a time when new…

Physics and Society · Physics 2020-10-29 Juste Raimbault , Denise Pumain

The paper seeks to interpret the interface between innovation, industry and urban business agglomeration, by trying to understand how local/regional entrepreneurs and social agents use the forces of agglomeration to organize productive…

General Economics · Economics 2023-11-17 Edilson Pereira Junior

We revisit the classic problem of determining optimal routes in a graph for transporting two given distributions defined on its nodes, originally studied by Wardrop and Beckmann in the 1950s. The global congestion profile at any given time…

Optimization and Control · Mathematics 2025-03-28 Hector Andres Chang-Lara , Sergio David Zapeta-Tzul

A plethora of natural, artificial and social complex systems exists which violate the basic hypothesis (e.g., ergodicity) of Boltzmann-Gibbs (BG) statistical mechanics. Many of such cases can be satisfactorily handled by introducing…

Statistical Mechanics · Physics 2016-07-26 Constantino Tsallis

We use techniques from network science to study correlations in the foreign exchange (FX) market over the period 1991--2008. We consider an FX market network in which each node represents an exchange rate and each weighted edge represents a…

Trading and Market Microstructure · Quantitative Finance 2010-04-13 Daniel J. Fenn , Mason A. Porter , Peter J. Mucha , Mark McDonald , Stacy Williams , Neil F. Johnson , Nick S. Jones

Urban agglomerations exhibit complex emergent features of which Zipf's law, i.e.\ a power-law size distribution, and fractality may be regarded as the most prominent ones. We propose a simplistic model for the generation of city-like…

Physics and Society · Physics 2014-09-15 Diego Rybski , Anselmo Garcia Cantu Ros , Jürgen P. Kropp

Large-scale constrained optimization is pivotal in modern scientific, engineering, and industrial computation, often involving complex systems with numerous variables and constraints. This paper provides a unified and comprehensive…

Optimization and Control · Mathematics 2025-10-21 Kangkang Deng , Rui Wang , Zhenyuan Zhu , Junyu Zhang , Zaiwen Wen

We use Lagrangian diagnostics (the leaking and the exchange methods) to characterize surface transport out of and between selected regions in the Western Mediterranean. Velocity fields are obtained from a numerical model. Residence times of…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Judit Schneider , Vicente Fernandez , Emilio Hernandez-Garcia

In recent years there has been a growing interest in the role of networks and clusters in the global economy. Despite being a popular research topic in economics, sociology and urban studies, geographical clustering of human activity has…

Physics and Society · Physics 2015-05-19 Roberto Catini , Dmytro Karamshuk , Orion Penner , Massimo Riccaboni

The understanding of fluid turbulence has considerably progressed in recent years. The application of the methods of statistical mechanics to the description of the motion of fluid particles, i.e. to the Lagrangian dynamics, has led to a…

Statistical Mechanics · Physics 2009-11-07 G. Falkovich , K. Gawedzki , M. Vergassola

During the last decades, the study of cities has been transformed by new approaches combining engineering and complexity sciences. Network theory is playing a central role, facilitating the quantitative analysis of crucial urban dynamics,…

Physics and Society · Physics 2021-03-31 Aniello Lampo , Javier Borge-Holthoefer , Sergio Gómez , Albert Solé-Ribalta

Results from kinematic observations of the central regions of spiral galaxies are reviewed, with particular emphasis on starburst and AGN hosts. While morphological studies lead to important insight, a more complete understanding of the…

Astrophysics · Physics 2007-05-23 Johan H. Knapen

We present some results of the new MORGANA model for the rise of galaxies and active nuclei, and show that the improved physical motivation of the description of star formation and feedback allows to get hints on the physical processes at…

Astrophysics · Physics 2007-05-23 Pierluigi Monaco

This study introduces geometric algebra to decompose credit system relationships into their projective (correlation-like) and rotational (feedback-spiral) components. We represent economic states as multi-vectors in Clifford algebra, where…

General Finance · Quantitative Finance 2025-10-21 Agus Sudjianto , Sandi Setiawan

With the global population on the rise, our cities have been expanding to accommodate the growing number of people. The expansion of cities generally leads to the engulfment of peripheral areas. However, such expansion of urban areas is…

Physics and Society · Physics 2024-01-09 Sudipan Saha , Tushar Verma , Dario Augusto Borges Oliveira

How are economic activities linked to geographic locations? To answer this question, we use a data-driven approach that builds on the information about location, ownership and economic activities of the world's 3,000 largest firms and their…

Physics and Society · Physics 2015-12-10 Antonios Garas , Celine Rozenblat , Frank Schweitzer

This work's purpose is to understand the dynamics of some social systems whose properties can be captured by certain iterated function systems. To achieve this intension, we start from the theory of iterated function systems, and then we…

General Finance · Quantitative Finance 2016-09-20 Shilei Wang

The movements of individuals within and among cities influence critical aspects of our society, such as well-being, the spreading of epidemics, and the quality of the environment. When information about mobility flows is not available for a…

Machine Learning · Computer Science 2022-05-02 Filippo Simini , Gianni Barlacchi , Massimiliano Luca , Luca Pappalardo

We study the evolution of population density across Italian municipalities on the based of their trajectories in the Moran space. We find evidence of spatial dynamical patterns of concentrated urban growth, urban sprawl, agglomeration, and…

General Economics · Economics 2023-11-20 Davide Fiaschi , Angela Parenti , Cristiano Ricci