A Nonconventional Invariance Principle for Random Fields

Yuri Kifer ()
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Yuri Kifer: The Hebrew University of Jerusalem

Journal of Theoretical Probability, 2013, vol. 26, issue 2, 489-513

Abstract: Abstract In Kifer and Varadhan (Ann Probab, to appear), we obtained a nonconventional invariance principle (functional central limit theorem) for sufficiently fast mixing stochastic processes with discrete and continuous time. In this article, we derive a nonconventional invariance principle for sufficiently well-mixing random fields.

Keywords: Random fields; Limit theorems; Mixing; 60F17; 60G60 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10959-012-0473-9

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