Probabilities of Randomly Centered Small Balls and Quantization in Banach Spaces

@inproceedings{Dereich2004ProbabilitiesOR,
title={Probabilities of Randomly Centered Small Balls and Quantization in Banach Spaces},
author={Steffen Dereich and Mikhail Lifshits},
year={2004}
}

the random small ball function (RSBF), when ε is small. We will see that some typical features of the SBF are true as well for the RSBF but the exact asymptotics of the two functions do not coincide. Beyond structural properties of Gaussian measures, the research is motivated by a close link to so-called random strategies in quantization problems, that we briefly recall now. Let E be a space of objects (images, pictures,