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arXiv · 1801.03008

Uniform Hausdorff dimension result for the inverse images of stable L\'evy processes

Renming Song·Yimin Xiao·Xiaochuan Yang
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Abstract

We establish a uniform Hausdorff dimension result for the inverse image sets of real-valued strictly $\alpha$-stable L\'evy processes with $1< \alpha\le 2$. This extends a theorem of Kaufman for Brownian motion. Our method is different from that of Kaufman and depends on covering principles for Markov processes.

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Renming Song, Yimin Xiao, Xiaochuan Yang. 2018-01-09. Uniform Hausdorff dimension result for the inverse images of stable L\'evy processes. https://arxiv.org/abs/1801.03008

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