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math.DS2023
Transversal family of non-autonomous conformal iterated function systems
Yuto Nakajima
We study Non-autonomous Iterated Function Systems (NIFSs) with overlaps. A NIFS on a compact subset is a sequence $Φ=(\{ϕ^{(j)}_{i}\}_{i\in I^{(j)}})_{j=1}^{…
math.DS2019
Self-similar fractals related to regular tetrahedron and imaginary cubes
Yuto Nakajima
We consider self-similar sets in three-dimensional Euclidean space related to a regular tetrahedron. Sierpiski tetrahedron is one such self-similar set. In this pa…