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A class of semi-selfsimilar processes related to random walks in random scenery - MaRDI portal

A class of semi-selfsimilar processes related to random walks in random scenery (Q5946892)

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scientific article; zbMATH DE number 1660512
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A class of semi-selfsimilar processes related to random walks in random scenery
scientific article; zbMATH DE number 1660512

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    A class of semi-selfsimilar processes related to random walks in random scenery (English)
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    4 February 2003
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    In this highly technical paper, the author, proceeding in a sequence of lemmata and propositions, proves a limit theorem for a special class of scaled random walks in a random scenery. He thus generalizes a limit theorem of \textit{H. Kesten} and \textit{F. Spitzer} [Z. Wahrscheinlichkeitstheorie Verw. Geb. 50, 5--25 (1979; Zbl 0396.60037)].
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    multi-dimensional random walk
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    semi-stable random variable
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    limiting processes
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