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August, 1977 Hausdorff Measure Properties of the Asymmetric Cauchy Processes
William E. Pruitt, S. James Taylor
Ann. Probab. 5(4): 608-615 (August, 1977). DOI: 10.1214/aop/1176995771


The function $\varphi(h) = h/|\log h|$ is shown to be an exact Hausdorff measure function for the range of all strictly asymmetric Cauchy processes in $R^k, k \geqq 2$. The same function is also shown to correctly measure the graph of any strictly asymmetric Cauchy process.


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William E. Pruitt. S. James Taylor. "Hausdorff Measure Properties of the Asymmetric Cauchy Processes." Ann. Probab. 5 (4) 608 - 615, August, 1977.


Published: August, 1977
First available in Project Euclid: 19 April 2007

zbMATH: 0371.60049
MathSciNet: MR443103
Digital Object Identifier: 10.1214/aop/1176995771

Primary: 60G17
Secondary: 60J30

Keywords: Correct measure functions , graph , ‎range‎

Rights: Copyright © 1977 Institute of Mathematical Statistics

Vol.5 • No. 4 • August, 1977
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