@article{c0a696d4c9884c2c8819d80ece90d3d3,
title = "Uniform hausdorff dimension result for the inverse images of stable L{\'e}vy processes",
abstract = "We establish a uniform Hausdorff dimension result for the inverse image sets of real-valued strictly α-stable L{\'e}vy processes with 1 < α ≤ 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.",
keywords = "Hausdorff dimension, Inverse images, Stable L{\'e}vy processes",
author = "Renming Song and Yimin Xiao and Xiaochuan Yang",
note = "Funding Information: *Research of Renming Song was supported in part by the Simons Foundation (# 429343, Renming Song). Research of Yimin Xiao was supported in part by the NSF grant DMS-1607089. †Department of Mathematics, University of Illinois, Urbana, IL 61801, USA. E-mail: rsong@illinois.edu ‡Dept. Statistics & Probability, Michigan State University, 48824 East Lansing, MI, USA. E-mail: xiaoyimi@ stt.msu.edu §Dept. Statistics & Probability, Michigan State University, 48824 East Lansing, MI, USA. E-mail: yangxi43@ stt.msu.com",
year = "2018",
doi = "10.1214/18-ECP180",
language = "English (US)",
volume = "23",
journal = "Electronic Communications in Probability",
issn = "1083-589X",
publisher = "Institute of Mathematical Statistics",
}