Noy Soffer Aranov

activity

20232026

most citedOn the maximum size of ultrametric orthogonal sets over discrete valued fields

2 citations · 3 across the 10 of their papers we have counts for

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3 papers · 1 filter

math.CO2024

Counting Problems for Orthogonal Sets and Sublattices in Function Fields

Noy Soffer Aranov, Angelot Behajaina

Let $K = F_{q} ((x^{- 1}))$ . Analogous to orthogonality in the Euclidean space $R^{n}$ , there exists a well-studied notion of ultrametric orthogonality in $\mat…

math.NT2024★ 2 cited

On the maximum size of ultrametric orthogonal sets over discrete valued fields

Noy Soffer Aranov, Angelot Behajaina

Let $K$ be a discrete valued field with finite residue field. In analogy with orthogonality in the Euclidean space $R^{n}$ , there is a well-studied notion of "ultr…

math.NT2024

Hausdorff dimension of singular vectors in function fields

Noy Soffer Aranov, Taehyeong Kim

We compute the Hausdorff dimension of the set of singular vectors in function fields and bound the Hausdorff dimension of the set of $ε$ -Dirichlet improvable vectors in t…