Dimension of diagonal self-affine sets and measures via non-conformal partitions

2023/09/07 by Rapaport, Ariel · 3 citations
#28A80 #37C45 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2309.03985

Abstract

Let Φ:=\ (x₁,...,x_d)→(r_i,1x₁+a_i,1,...,r_i,dx_d+a_i,d)\ _i∈Λ be an affine diagonal IFS on ℝ^d. Suppose that for each 1≤ j₁

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