The packing measure of the trajectory of a one-dimensional symmetric Cauchy process (Q948842)
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scientific article; zbMATH DE number 5351722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The packing measure of the trajectory of a one-dimensional symmetric Cauchy process |
scientific article; zbMATH DE number 5351722 |
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The packing measure of the trajectory of a one-dimensional symmetric Cauchy process (English)
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15 October 2008
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Summary: Let \(X_{t}=\{X(t),\thinspace t\geq 0\}\) be a one-dimensional symmetric Cauchy process. We prove that, for any measure function, \(\varphi ,\varphi - p(X[0,\tau ])\) is zero or infinite, where \(\varphi - p(E)\) is the \(\varphi \)-packing measure of \(E\), thus solving a problem posed by \textit{F. Rezakhanlou} and \textit{S. J. Taylor} in [Astérisque 157--158, 341--362 (1988; Zbl 0677.60082)].
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