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Exemples d'hypergroupes transients

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Probability Measures on Groups VIII

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1210))

Abstract

An hypergroup K is said transient if every random walk with spread out law on K is transient. We study here two examples. For polynomial hypergroups on ℕ and Chebli-Trimèche hypergroups on ℝ+, we give an intrinsic criterion involving the Plancherel measure of K to decide if the hypergroup is transient or not. These results can be compared to dimensional or growth criteria in the case of groups.

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Authors and Affiliations

  1. Université de Nancy II et UA No 750 du CNRS Mathématiques, B.P. No 239, 54506, Vandoeuvre les Nancy, France

    Léonard Gallardo

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  1. Léonard Gallardo
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Herbert Heyer

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© 1986 Springer-Verlag

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Gallardo, L. (1986). Exemples d'hypergroupes transients. In: Heyer, H. (eds) Probability Measures on Groups VIII. Lecture Notes in Mathematics, vol 1210. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077173

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  • DOI: https://doi.org/10.1007/BFb0077173

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16806-5

  • Online ISBN: 978-3-540-44852-5

  • eBook Packages: Springer Book Archive

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