Parametrizability of infinitely generated attractors

Published 12 Apr 2023 in math.MG and math.DS | (2304.06012v2)

Abstract: 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 of a such system admits a parameterization by a continuous or H\"older continuous map of the unit interval.

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