Document Type

Article

Date

5-11-2011

Embargo Period

11-11-2011

Disciplines

Mathematics

Description/Abstract

Pruitt's estimates on the expectation and the distribution of the time taken by a random walk to exit a ball of radius r are extended to the infinite dimensional setting. It is shown that they separate into two pairs of estimates depending on whether the space is type 2 or cotype 2. It is further shown that these estimates characterize type 2 and cotype 2 spaces.

Additional Information

This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/1105.2183

Source

Harvested from arXiv.org

Included in

Mathematics Commons

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