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Fractal series and infinite products

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Abstract

Se muestra en este artículo un algoritmo para asociar conjuntos fractales a ciertas series de vectores en Rn y a ciertos productos infinitos reales o complejos. Se muestra la conexión existente entre algunos casos particulares de estos fractales y ciertos fractales obtenidos por M.F. Barnsley desde un punto de vista dinámico, como atractores de sistemas de funciones iterados. Se obtienen las dimensiones de Hausdorff y la función de dimensión de algunos fractales generados por series, y se construyen ejemplos de interés en teoría de la medida. El contenido de este artículo fue presentado como ponencia en la European Conference on Iterations que se celebró en Batschuns (Austria) en Septiembre de 1989, y posteriormente ha sido aceptada para su publicación en las memorias del citado congreso.

Suggested Citation

  • Manuel Morán Cabré, 1990. "Fractal series and infinite products," Documentos de trabajo de la Facultad de Ciencias Económicas y Empresariales 90-21, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales.
    • Handle: RePEc:ucm:doctra:90-21
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    Keywords

    Series fractales; Vectores.;

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