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AN Lp ‘COUSIN OF COBOUNDARY’ THEOREM FOR RANDOM FIELDS

Part of: Stochastic processes

Published online by Cambridge University Press:  01 August 2008

RICHARD C. BRADLEY
RICHARD C. BRADLEY*
Affiliation:
Department of Mathematics, Indiana University, Bloomington, IN 47405, USA (email: [email protected])
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Abstract

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It is known that for a given and a given strictly stationary sequence of random variables, the p-norms of the partial sums are bounded if and only if the sequence consists of successive differences from another strictly stationary sequence with finite p-norm. Here this is generalized to random fields, and the assumption of stationarity is relaxed. The index is included.

Keywords

cousin of coboundaryp-normrandom field

MSC classification

Secondary: 60G60: Random fields 60G10: Stationary processes
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 85 , Issue 1 , August 2008 , pp. 51 - 58
Copyright
Copyright © 2008 Australian Mathematical Society

References

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