Stretching multifractal spectra and area compression of homeomorphisms with integrable distortion in higher dimensions

Lauri Hitruhin

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arXiv · 1806.00086

Stretching multifractal spectra and area compression of homeomorphisms with integrable distortion in higher dimensions

Lauri Hitruhin

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Abstract

We consider homeomorphisms with integrable distortion in higher dimensions and sharpen the previous bound for area compression, which was presented by Clop and Herron. Our method relies on developing sharp bounds for the stretching multifractal spectra of these mappings.

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Lauri Hitruhin. 2018-05-30. Stretching multifractal spectra and area compression of homeomorphisms with integrable distortion in higher dimensions. https://arxiv.org/abs/1806.00086

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