Conjuntos de cantor dinámicamente definidos con HD = d ?]0,1[
DOI:
https://doi.org/10.22199/S07160917.1992.0001.00008Keywords:
Aplicaciones línealesAbstract
En este trabajo. construimos una aplicación lineal por pedazos, L?1,?2 [0, 1] ? [0, 1] .donde ,?1, ?2 son parámetros reales, con la propiedad siguiente dado d ?]0. 1[ existe una curva v(?1) = (x ?1),y(?2)) tal que si vértices de L?1,?2 están sobre esta curva, entonces HD(K ?1,?2) = C(K ?1,?2) = d, donde H D es la dimensión de Hausdorff y C es la capacidad límite del conjunto de Cantor K ?1,?2 generado por L ?1,?2
References
[ 1] Bamón, R. and Plaza, S.: Cantor Sets, Numerical Invariants and Perron-Frobenius Theory. Pre-print 1991.
[ 2] Palis, J. and Takens, F.: Homoclinic Bifurcations: hiperbolicity, fractional dimensions and infinitely many attractors. Cambridge University Press: To appear.
[ 3] Takens, F.: Limit Capacity and Hausdorff Dimension of Dynamically Defined Cantor Set. Lecture Notes in Math., vol. 1331, Springer-Verlag (1988),pp 196-212.
[ 2] Palis, J. and Takens, F.: Homoclinic Bifurcations: hiperbolicity, fractional dimensions and infinitely many attractors. Cambridge University Press: To appear.
[ 3] Takens, F.: Limit Capacity and Hausdorff Dimension of Dynamically Defined Cantor Set. Lecture Notes in Math., vol. 1331, Springer-Verlag (1988),pp 196-212.
Published
2018-04-02
How to Cite
[1]
R. Bamón and S. Plaza Salinas, “Conjuntos de cantor dinámicamente definidos con HD = d ?]0,1[”, Proyecciones (Antofagasta, On line), vol. 11, no. 1, pp. 77-87, Apr. 2018.
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