Pruitt’s Estimates in Banach Space

Philip S. Griffin ()
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Philip S. Griffin: Syracuse University

Journal of Theoretical Probability, 2010, vol. 23, issue 4, 1092-1109

Abstract: 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.

Keywords: Banach space; Expected exit time; Probability estimates; Type; Cotype; 60B12; 60E15; 60K05 (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s10959-009-0250-6

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