✦ LIBER ✦

Subadditive ergodic theorems for random sets in infinite dimensions

✍ Scribed by Jennie C. Hansen; Paul Hulse

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 106 KB
Volume: 50
Category: Article
ISSN: 0167-7152
DOI: 10.1016/s0167-7152(00)00156-5

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✦ Synopsis

We prove pointwise and mean versions of the subadditive ergodic theorem for superstationary families of compact, convex random subsets of a real Banach space, extending previously known results that were obtained in ÿnite dimensions or with additional hypotheses on the random sets. We also show how the techniques can be used to obtain the strong law of large numbers for pairwise independent random sets, as well as results in the weak topology.

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