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arxiv: 1308.6535 · v1 · pith:2MOF7JMBnew · submitted 2013-08-29 · 🧮 math.PR

Non-degeneracy of some Sobolev Pseudo-norms of fractional Brownian motion

classification 🧮 math.PR
keywords brownianfractionalmotionnon-degeneracypseudo-normssobolevsomeapplying
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Applying an upper bound estimate for small $L^{2}$ ball probability for fractional Brownian motion (fBm), we prove the non-degeneracy of some Sobolev pseudo-norms of fBm.

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