A. Rutar

activity

20202023

most citedAttainable forms of intermediate dimensions

17 citations · 47 across the 9 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.DS2022★ 2 cited

Assouad-type Dimensions of Overlapping Self-affine Sets

Jonathan M. Fraser, Alex Rutar

We study the Assouad and quasi-Assoaud dimensions of dominated rectangular self-affine sets in the plane. In contrast to previous work on the dimension theory of self-affine sets,…

math.CA2022★ 7 cited

Attainable forms of Assouad spectra

Alex Rutar

Let $d \in N$ and let $φ : (0, 1) \to [0, d]$ . We prove that there exists a set $F \subset R^{d}$ such that $dim_{A}^{θ} F = φ (θ)$ for all $θ \in (0, 1)$ if and onl…