Growth and Hölder conditions for the sample paths of Feller processes (Q1281422)

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scientific article; zbMATH DE number 1267627
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Growth and Hölder conditions for the sample paths of Feller processes
scientific article; zbMATH DE number 1267627

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    Growth and Hölder conditions for the sample paths of Feller processes (English)
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    15 February 2000
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    For a wide class of Feller processes the limit behaviour as \(t\to 0\) and \(t\to\infty\) is investigated. For that certain indices are introduced, in case of Lévy processes coinciding with the Blumenthal-Getoor indices [see \textit{R. M. Blumenthal} and \textit{R. K. Getoor}, J. Math. Mech. 10, 493-516 (1961; Zbl 0097.33703)]. The results extend the Lévy processes case considered by \textit{W. Pruitt} [Ann. Probab. 9, 948-956 (1981; Zbl 0477.60033)].
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    Feller process
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    growth index
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    limiting behaviour
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    Hölder condition
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    pseudodifferential operator
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    semimartingale
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