Lil type behavior of multivariate Lévy processes at zero

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We study the almost sure behavior of suitably normalized multivariate Lévy processes as t ↓ 0. Among other results we find necessary and sufficient conditions for a law of a very slowly varying function which includes a general law of the iterated logarithm in this setting. We also look at the corresponding cluster set problem.
Originele taal-2English
Pagina's (van-tot)6437-6464
Aantal pagina's28
TijdschriftTransactions of the American Mathematical Society
Nummer van het tijdschrift9
StatusPublished - 1 nov 2019


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