On nonlinear iterated function systems with overlaps

2024/01/07 by Solomyak, Boris · 1 citation
#28A80 #37E05 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.03535

Abstract

We construct an example of an iterated function system on the line, consisting of linear fractional transformations, such that two of the maps share a fixed points, but the dimension of the attractor equals the conformal dimension, so that there is no ``dimension drop''.

Cited by

• On exponential separation of analytic self-conformal sets on the real line

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