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A threshold for full packing dimension of Hölder images of sets and measures
We study when the image of a measure under a random Hölder map attains full packing dimension. Our main tool is a family of packing intermediate dimension profiles $\dim_{P,θ}^{s}μ$, indexed by $θ\in(0,1]$ and $s>0$, which refine the packing dimension profiles of Falconer and Howroyd and reduce to t
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