Title: Strong Local Nondeterminism of Spherical Fractional Brownian Motion,
Abstract: Let $B = \left\{ B\left( x\right),\, x\in \mathbb{S}^{2}\right\} $ be the
fractional Brownian motion indexed by the unit sphere $\mathbb{S}^{2}$ with
index $0<H\leq \frac{1}{2}$, introduced by Istas \cite{IstasECP05}. We
establish optimal estimates for its angular power spectrum $\{d_\ell, \ell = 0,
1, 2, \ldots\}$, and then exploit its high-frequency behavior to establish the
property of its strong local nondeterminism of $B$.