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math.DS2025
Distinct dimensions for attractors of bi-Lipschitz iterated function systems
Simon Baker, Amlan Banaji, De-Jun Feng +2
In this paper, we construct an iterated function system on the line consisting of two bi-Lipschitz contractions whose attractor has distinct lower, Hausdorff, lower box, upper box,…
math.DS2025
Fourier transform of nonlinear images of self-similar measures: quantitative aspects
Amlan Banaji, Han Yu
This paper relates to the Fourier decay properties of images of self-similar measures on under nonlinear smooth maps . For…