Path Properties of Index-$\beta$ Stable Fields

John P. Nolan

doi:10.1214/aop/1176991586

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Home > Journals > Ann. Probab. > Volume 16 > Issue 4 > Article

October, 1988 Path Properties of Index-$\beta$ Stable Fields

John P. Nolan

Ann. Probab. 16(4): 1596-1607 (October, 1988). DOI: 10.1214/aop/1176991586

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Abstract

We examine the paths of the stable fields that are the analogs of index-$\beta$ Gaussian fields. We find Holder conditions on their paths and find the Hausdorff dimension of the image, graph and level sets when we have local nondeterminism, generalizing the Gaussian results.

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John P. Nolan. "Path Properties of Index-$\beta$ Stable Fields." Ann. Probab. 16 (4) 1596 - 1607, October, 1988. https://doi.org/10.1214/aop/1176991586