Uniform Perfectness of Self-affine Sets

نویسندگان

  • FENG XIE
  • YONGCHENG YIN
  • YESHUN SUN
چکیده

Let fi(x) = Aix + bi (1 ≤ i ≤ n) be affine maps of Euclidean space RN with each Ai nonsingular and each fi contractive. We prove that the self-affine set K of {f1, . . . , fn} is uniformly perfect if it is not a singleton.

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تاریخ انتشار 2003