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Regularity of infinitely divisible processes. (English) Zbl 0776.60053

Some new tools are applied for the investigation of regularity properties of infinitely divisible random processes without Gaussian component, satisfying certain condition on its spectral measure. The majorizing measure is extended and applied to discuss the structure of bounded processes of this type.

MSC:

60G17 Sample path properties
60E07 Infinitely divisible distributions; stable distributions
60G15 Gaussian processes
60G50 Sums of independent random variables; random walks
60B11 Probability theory on linear topological spaces
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