On the equivalence of homogeneous iterated function systems
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AbstractWe characterize the family G(F) of homogeneous iterated function systems of similarities on R-d that satisfy the strong separation condition and generate the same self-similar set F. We also show that G(F) as a semigroup is finitely generated.
All Author(s) ListDeng QR, Lau KS
Journal nameNonlinearity
Volume Number26
Issue Number10
PublisherLondon Mathematical Society / IOP Publishing: Hybrid Open Access
Pages2767 - 2775
LanguagesEnglish-United Kingdom
Web of Science Subject CategoriesMathematics; Mathematics, Applied; MATHEMATICS, APPLIED; Physics; Physics, Mathematical; PHYSICS, MATHEMATICAL

Last updated on 2021-23-01 at 00:13