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math.DS2015
Multidimensional self-affine sets: non-empty interior and the set of uniqueness
Kevin G. Hare, Nikita Sidorov
Let be a contracting matrix. In this paper we consider the self-affine iterated function system , where is a cyclic vector. Our main result is a…
math.DS2015★ 14 cited
Two-dimensional self-affine sets with interior points, and the set of uniqueness
Kevin G. Hare, Nikita Sidorov
Let be a real matrix with both eigenvalues less than~1 in modulus. Consider two self-affine contraction maps from , \begin{equation*} T_…