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math.MG2023
Bi-Lipschitz arcs in metric spaces with controlled geometry
Jacob Honeycutt, Vyron Vellis, Scott Zimmerman
We generalize a bi-Lipschitz extension result of David and Semmes from Euclidean spaces to complete metric measure spaces with controlled geometry (Ahlfors regularity and supportin…
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…