Regensburg 2025 – scientific programme
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 4: Urban systems, Scaling, and Social Systems
SOE 4.2: Talk
Tuesday, March 18, 2025, 10:00–10:15, H45
Dynamics of Cities — Airton Deepman1, •Renan Lucas Fagundes2, Eugenio Megias3, Roman Pasechnik4, Fabiano Lemes Ribeiro5, and Constantino Tsallis6,7,8 — 1USP, Sao Paulo, Brazil — 2IOER, Dresden, Germany — 3UGR, Granada, Spain — 4Lund University, Lund, Sweden — 5UFLA, Lavras, Brazil — 6CBPF, Rio de Janeiro, Brazil — 7SFI, Santa Fe, USA — 8CSHV, Vienna, Austria
In recent years, the challenge has been to understand urban phenomena and their impact on the lives of people in cities in order to achieve the sustainable development goals. One of the most intriguing urban phenomena to emerge since the 1940s is fundamental allometry, which elucidates the manner in which urban areas evolve in tandem with their population size. However, most of the models in the literature investigate urban phenomena while employing the static properties of cities. In this study, we demonstrate that the combination of nonextensive statistics with fractal geometry provides a powerful tool for investigating the dynamic evolution of cities. We conducted a case study on Brazilian cities. Our findings indicate that cities evolve near the critical point of percolation, which facilitates connectivity and efficiency in space occupation. Additionally, we observed a correlation between the fractal dimension and the allometric exponent, which is associated with fundamental geometric and diffusion aspects. This research has implications for the design of infrastructure in urban areas and the promotion of economic growth. Early version of the respective manuscript: https://doi.org/10.48550/arXiv.2407.12681
Keywords: nonextensive diffusion; fractal; urban dynamics; urban scaling; social systems