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arxiv: 1409.2085 · v1 · pith:MWLBE7LEnew · submitted 2014-09-07 · 🧮 math.PR

Stochastic fields with paths in arbitrary rearrangement invariant spaces

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keywords invariantpathsrearrangementsomespacealmostapplicationsarbitrary
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We obtain sufficient conditions for belonging of almost all paths of a random process to some fixed rearrangement invariant (r.i.) Banach functional space, and to satisfying the Central Limit Theorem (CLT) in this space. We describe also some possible applications.

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