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Modeles De Croissance Fractale : Epidemies, Evolutions En Biologie, Ecologie, Trafic, Economie

2004/12/01 by Marcel Ausloos, Ausloos, Marcel
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0412025

10 pages, text in french with accents (sometimes); 2 figures; to be published in the proceedings of a meeting held in Paris, Nov. 2004 in honor of B. Mandelbrot 80th birthday

arxiv created 2004/12/01 · openalex publication_date 2004/12/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Several simple growth and decay models use concepts and measures from fractal geometry. Kinetic models relevant to condensed matter observations arerecalled. They should be specifically adapted with appropriate degrees of freedom in order to reproduce power law behaviors, e.g. of species extinctions, cloud fracture, financial crashes. This allows one to illustrate scientific problems relevant to the growth and control of epidemias, and other event or entity propagation in biology, ecology, traffic and economy.

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