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A Nonconventional Invariance Principle for Random Fields

โœ Scribed by Yuri Kifer


Book ID
120739959
Publisher
Springer US
Year
2013
Tongue
English
Weight
298 KB
Volume
26
Category
Article
ISSN
0894-9840

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Invariance principle for martingale-diff
โœ S. Poghosyan; S. Roelly ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 383 KB

A convergence criterium to the multi-parameter Wiener process is proved. Then, it is used to establish that a martingaledifference random field on the lattice satisfies an invariance principle.