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math.MG2025
Pseudotangents to Lipschitz curves
Eve Shaw
In this paper, we extend the result of arXiv:2409.13662 by showing that the set on which every pseudotangent is obtained on a Lipschitz curve can be any compact, uniformly disconne…
math.MG2024
Hölder curves with exotic tangent spaces
Eve Shaw, Vyron Vellis
An important implication of Rademacher's Differentiation Theorem is that every Lipschitz curve infinitesimally looks like a line at almost all of its points in the sense that a…
math.MG2023
Parametrizability of infinitely generated attractors
Eve Shaw, Vyron Vellis
An infinite iterated function system (IIFS) is a countable collection of contraction maps on a compact metric space. In this paper we study the conditions under which the attractor…