Tangent fields and the local structure of random fields (Q1866064)
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scientific article; zbMATH DE number 1892245
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tangent fields and the local structure of random fields |
scientific article; zbMATH DE number 1892245 |
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Tangent fields and the local structure of random fields (English)
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3 April 2003
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This paper examines the local structure of a random field \(X\) on \(\mathbb{R}^N\), such that \(\lim_{n\to\infty} (X(z+r_nt)- X(z))/c_n\) is defined to be a tangent field for sequences \(r_n\searrow 0\) and \(c_n\searrow 0\). The paper develops general properties of tangent fields.
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tangent fields
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fractional Brownian motion
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self-similar processes
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strong invariance
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random fields
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