Abstract
We establish a uniform Hausdorff dimension result for the inverse image sets of real-valued strictly $\alpha $-stable Lévy processes with $1< \alpha \le 2$. This extends a theorem of Kaufman [11] for Brownian motion. Our method is different from that of [11] and depends on covering principles for Markov processes.
Citation
Renming Song. Yimin Xiao. Xiaochuan Yang. "Uniform Hausdorff dimension result for the inverse images of stable Lévy processes." Electron. Commun. Probab. 23 1 - 10, 2018. https://doi.org/10.1214/18-ECP180
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