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arxiv: 1809.00518 · v1 · pith:PRBVGY66new · submitted 2018-09-03 · 🧮 math.PR · math.MG

Sojourn time dimensions of fractional Brownian motion

classification 🧮 math.PR math.MG
keywords browniandimensionsfractionalgammamotionsojournassociateddescribe
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We describe the size of the sets of sojourn times $E_\gamma =\{t\geq 0: |B_t|\leq t^\gamma\}$ associated with a fractional Brownian motion $B$ in terms of various large scale dimensions.

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