Topological invariants and Lipschitz equivalence of fractal squares
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.02.012
Abstract: Abstract Fractal sets typically have very complex geometric structures, and a fundamental problem in fractal geometry is to characterize how “similar” different fractal sets are. The Lipschitz equivalence of fractal sets is often used to… read more here.
Keywords: self similar; equivalence fractal; equivalence; fractal sets ... See more keywords
A LOWER BOUND OF TOPOLOGICAL HAUSDORFF DIMENSION OF FRACTAL SQUARES
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DOI: 10.1142/s0218348x20501157
Abstract: Given an integer n ≥ 2 and a digit set ????⊂{0, 1,…,n − 1}2, there is a self-similar set K ⊂ ℝ2 satisfying the set equation K = (K + ????)/n. This set K is… read more here.
Keywords: topological hausdorff; hausdorff dimension; bound topological; lower bound ... See more keywords