@article {63,
title = {Small ball probabilities around random centers of Gaussian measures and applications to quantization},
journal = {J. Theor. Probab.},
volume = {16(2)},
year = {2003},
pages = {427-449},
abstract = {Let $\mu$ be a centered Gaussian measure on a separable Hilbert space $(E, \| \cdot \|)$. We are concerned with the logarithmic small ball probabilities around a $\mu$-distributed center $X$. It turns out that the asymptotic behavior of ${\textendash}\log \ \mu(B(X,\epsilon))$ is a.s. equivalent to that of a deterministic function $\phi_R (\epsilon)$. These new insights will be used to derive the precise asymptotics of a random quantization problem which was introduced in a former article by Dereich, Fehringer, Matoussi, and Scheutzow [8].},
keywords = {Gaussian process, quantization, small ball probabilites for random centers},
author = {Steffen Dereich}
}