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2018 Uniform Hausdorff dimension result for the inverse images of stable Lévy processes
Renming Song, Yimin Xiao, Xiaochuan Yang
Electron. Commun. Probab. 23: 1-10 (2018). DOI: 10.1214/18-ECP180

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

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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

Information

Received: 8 April 2018; Accepted: 8 October 2018; Published: 2018
First available in Project Euclid: 19 October 2018

zbMATH: 1398.60089
MathSciNet: MR3873782
Digital Object Identifier: 10.1214/18-ECP180

Subjects:
Primary: 28A80, 60G17, 60G52, 60J75

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