### Notes on spherical bifractional Brownian motion

Published: 7 June 2022
by  VTeX

Abstract: The existence of the bifractional Brownian motion ${B_{H,K}}$ indexed by a sphere when $K\in (-\infty ,1]\setminus \{0\}$ and $H\in (0,1/2]$ is discussed, and the asymptotics of its excursion probability $\mathbb{P}\left\{{\sup _{M\in \mathbb{S}}}{B_{H,K}}(M)>x\right\}$ as $x\to \infty$ is studied.
Keywords: spherical bifractional / Notes / bifractional Brownian / excursion probability / asymptotics / sup

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