Alex Rutar

activity

20232026

most citedTangents and slices of self-affine carpets

1 citations · 1 across the 13 of their papers we have counts for

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4 papers · 1 filter

math.DS2026

Multifractal analysis of Gatzouras--Lalley measures

Thomas Jordan, István Kolossváry, Alex Rutar

We study the multifractal analysis of self-affine measures supported on planar carpets of type Gatzouras--Lalley. We work primarily with Olsen's Hausdorff-dimensional variant of th…

math.NT2026

Multi-scale properties of continued fraction sets

Alex Rutar

We survey the dimension theory of sets of real numbers with regular continued fraction expansion restricted to a non-empty and possibly infinite subset $\mathcal{D}\subset\mathbb{N…

math.CO2026

Visibility problem in the plane

Tuomas Orponen, Alex Rutar

We disprove the visibility conjecture in the plane and prove the sharp upper bound for the almost-sure dimension of visible parts. Precisely, let $K \subset R^{2}$ be a co…

math.CA2026

Attainable forms of lower spectra

Amlan Banaji, Haipeng Chen, Alex Rutar +1

Let $d \in N$ and $φ : (0, 1) \to [0, d]$ . We prove there exists a set $F \subset R^{d}$ whose lower spectrum $dim_{L}^{θ} F$ satisfies $(1-θ)\oper…