Abstract
Corresponding to the irreducible 0–1 matrix (a ij ) n×n , take similitude contraction mappingsϕ ij for eacha ij =1, ina ij =1, in Rd with ratio 0<r ij <1. There are unique nonempty compact setsF 1,…,F n satisfying for each1≤i≤n, F i. We prove that open set condition holds if and only ifF i is ans-set for some1≤i≤n, wheres is such that the spectral radius of matrix (r 3 ij ) n x n is 1.
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Partly supported by Natural Science Foundation of China, and partly by Natural Science Foundation of Hubei Province
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Wenxia, L. Separation properties forMW-fractals. Acta Mathematica Sinica 14, 487–494 (1998). https://doi.org/10.1007/BF02580406
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DOI: https://doi.org/10.1007/BF02580406