Abstract
In this paper we will show that any stationary or stationary increment p-stable process, 1≤p<2, that is sample bounded has a finite metric entropy integral. The result is an application of Talagrand’s work on majorizing measures for stable processes [7]. We combine this result with earlier results to give necessary conditions for a stationary increment stable process to have a.s. bounded or a.s. continuous sample paths.KeywordsSample PathStable ProcessStationary IncrementFinite Dimensional DistributionSymmetric Stable ProcessThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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