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August, 1983 A Uniform Lower Bound for Hausdorff Dimension for Transient Symmetric Levy Processes
W. J. Hendricks
Ann. Probab. 11(3): 589-592 (August, 1983). DOI: 10.1214/aop/1176993503

Abstract

For transient symmetric Levy processes we determine a uniform lower bound for the Hausdorff dimension of the range of a process on various time sets. This complements earlier work which provided a uniform upper bound. An example is provided in which both bounds are attained.

Citation

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W. J. Hendricks. "A Uniform Lower Bound for Hausdorff Dimension for Transient Symmetric Levy Processes." Ann. Probab. 11 (3) 589 - 592, August, 1983. https://doi.org/10.1214/aop/1176993503

Information

Published: August, 1983
First available in Project Euclid: 19 April 2007

zbMATH: 0532.60064
MathSciNet: MR704545
Digital Object Identifier: 10.1214/aop/1176993503

Subjects:
Primary: 60G17
Secondary: 60J25 , 60J30 , 60J40

Keywords: Hausdorff dimension , Levy processes , Sample path properties

Rights: Copyright © 1983 Institute of Mathematical Statistics

Vol.11 • No. 3 • August, 1983
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