Iqra Altaf

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20212025

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math.CA2025

On the packing dimension of distance sets with respect to $C^{1}$ and polyhedral norms

Iqra Altaf, Ryan Bushling, Bobby Wilson

We prove that, for every polyhedral or $C^{1}$ norm on $R^{d}$ and every set $E \subseteq R^{d}$ of packing dimension $s$ , the packing dimension of the distance set of…

math.CA2025

On the modulus of continuity of functions whose image has positive measure, and metric embeddings into $R^{d}$ without shrinking

Iqra Altaf, Marianna Csörnyei

A generalization of the classical Sard theorem in the plane is the following. Let $f$ be a function defined on a subset $A \subset R^{2}$ . If $f$ has modulus of continuity $ω…

On the packing dimension of distance sets with respect to C1 and polyhedral norms

On the modulus of continuity of functions whose image has positive measure, and metric embeddings into Rd without shrinking

On the packing dimension of distance sets with respect to $C^{1}$ and polyhedral norms

On the modulus of continuity of functions whose image has positive measure, and metric embeddings into $R^{d}$ without shrinking