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arXiv:1403.2215 [math.PR]AbstractReferencesReviewsResources

Necessary and Sufficient Conditions for Hölder Continuity of Gaussian Processes

Ehsan Azmoodeh, Tommi Sottinen, Lauri Viitasaari, Adil Yazigi

Published 2014-03-10Version 1

The continuity of Gaussian processes is extensively studied topic and it culminates in the Talagrand's notion of majorizing measures that gives complicated necessary and sufficient conditions. In this note we study the H\"older continuity of Gaussian processes. It turns out that necessary and sufficient conditions can be stated in a simple form that is a variant of the celebrated Kolmogorov-\v{C}entsov condition.

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