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In the present paper, we identify several distributions from Physics and study their applicability to phenomena such as distribution of income, wealth, and expenditure. Firstly, we apply logistic distribution to these data and we find that…

General Finance · Quantitative Finance 2016-03-29 Elvis Oltean

This is the first study that attempts to assess the regional economic impacts of the European Institute of Innovation and Technology (EIT) investments in a spatially explicit macroeconomic model, which allows us to take into account all key…

General Economics · Economics 2019-12-17 Olga Ivanova , d'Artis Kancs , Mark Thissen

This paper studies the economic role of persistent dispersion in allocations across agents. We develop a tractable model in which firms allocate resources under imperfect information and behavioral updating, generating sustained…

Theoretical Economics · Economics 2026-04-02 Nazaria Solferino

In this work we propose a novel space-dependent multiscale model for the spread of infectious diseases in a two-dimensional spatial context on realistic geographical scenarios. The model couples a system of kinetic transport equations…

Numerical Analysis · Mathematics 2020-12-21 Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi

This paper introduces a novel framework for causal inference in spatial economics that explicitly models the stochastic transition from partial to general equilibrium effects. We develop a Denoising Diffusion Probabilistic Model (DDPM)…

General Economics · Economics 2025-10-28 Tatsuru Kikuchi

The costly provision of public goods serves as a model problem for the evolution of cooperative behavior, presenting a social dilemma between the collective benefits of shared resources and the individual incentive to free-ride in resource…

Populations and Evolution · Quantitative Biology 2026-03-24 Yuxuan Zhao , Kaisheng Zhu , Yefei Zhang , Daniel B. Cooney

We develop two statistical models for space-time abundance data based on a stochastic underlying continuous individual movement. In contrast to current models for abundance in statistical ecology, our models exploit the explicit connection…

Applications · Statistics 2024-09-24 Ricardo Carrizo Vergara , Marc Kéry , Trevor Hefley

Optimization and expansion are two modes of staged evolution of complex systems where macroscopic observables change at a decreasing, respectively increasing, rate. A prime example of evolutionary expansion, Gross Domestic Product (GDP)…

Physics and Society · Physics 2022-11-30 Paolo Sibani , Steen Rasmussen , Per Lyngs Hansen

Urban inequality is a major challenge for cities in the 21st century. This inequality is reflected in the spatial income structure of cities which evolves in time through various processes. Gentrification is a well-known illustration of…

Physics and Society · Physics 2023-05-01 Vincent Verbavatz , Marc Barthelemy

We study an evolution cross-diffusion problem with mutualistic Lotka-Volterra reaction term to modelize the long-term spatial distribution of labor and capital. The mutualistic behavior is deduced from the gradient flow associated to…

Analysis of PDEs · Mathematics 2024-01-26 Gonzalo F. de-Córdoba , Gonzalo Galiano

Empirical distributions of wealth and income can be reproduced using simplified agent-based models of economic interactions, analogous to microscopic collisions of gas particles. Building upon these models of freely interacting agents, we…

Physics and Society · Physics 2020-03-10 Lennart Fernandes , Jacques Tempere

We generalize previous studies on critical phenomena in communication networks by adding computational capabilities to the nodes to better describe real-world situations such as cloud computing. A set of tasks with random origin and…

Networking and Internet Architecture · Computer Science 2016-01-14 Marco Cogoni , Giovanni Busonera , Paolo Anedda , Gianluigi Zanetti

This Colloquium reviews statistical models for money, wealth, and income distributions developed in the econophysics literature since the late 1990s. By analogy with the Boltzmann-Gibbs distribution of energy in physics, it is shown that…

Statistical Finance · Quantitative Finance 2009-12-24 Victor M. Yakovenko , J. Barkley Rosser

This Chapter reviews statistical models for the probability distribution of money developed in the econophysics literature since the late 1990s. In these models, economic transactions are modeled as random transfers of money between the…

Statistical Finance · Quantitative Finance 2012-04-10 Victor M. Yakovenko

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

We construct a model of innovation diffusion that incorporates a spatial component into a classical imitation-innovation dynamics first introduced by F. Bass. Relevant for situations where the imitation process explicitly depends on the…

Exactly Solvable and Integrable Systems · Physics 2015-03-19 Fariba Hashemi , Max-Olivier Hongler , Olivier Gallay

The importance of spatial networks in the spread of an epidemic is an essential aspect in modeling the dynamics of an infectious disease. Additionally, any realistic data-driven model must take into account the large uncertainty in the…

Populations and Evolution · Quantitative Biology 2022-01-17 Giulia Bertaglia , Lorenzo Pareschi

We show that a simple model of a spatially resolved evolving economic system, which has a steady state under simultaneous updating, shows stable oscillations in price when updated asynchronously. The oscillations arise from a gradual…

General Finance · Quantitative Finance 2009-10-02 Lawrence Mitchell , G. J. Ackland

Time evolution of number of species (genera, families, and others), population of them, and size distribution of present ones and life times are studied in terms of a new model, where population of each genetic taxon increases by a (random)…

Populations and Evolution · Quantitative Biology 2007-05-23 Caglar Tuncay

The amount of data that is being gathered about cities is increasing in size and specificity. However, despite this wealth of information, we still have little understanding of what really drives the processes behind urbanisation. In this…

Physics and Society · Physics 2015-11-30 Rémi Louf