A local limit theorem for random walks on certain discrete groups

BENDER, E.A.: Asymptotic methods in enumeration. Siam Review 16, 485–515 (1974).
Article MathSciNet MATH Google Scholar
BERG, CH. and J.P.R. CHRISTENSEN: On the relation between amenability of locally compact groups and the norms of convolution operators. Math. Ann. 208, 149–153 (1974).
Article MathSciNet MATH Google Scholar
GERL, P.: Wahrscheinlichkeitsmaße auf diskreten Gruppen. Archiv Math. 31, 611–619 (1978).
Article MathSciNet MATH Google Scholar
GERL, P.: Eine asymptotische Auwertung von Faltungspotenzen. Sitzungsber. Öst. Akad. Wiss., Math.-Naturw. Klasse, Abt. II, 186, 385–396 (1978).
MathSciNet MATH Google Scholar
GERL, P.: A local limit theorem on some groups. Arbeitsber. Math. Inst. Univ. Salzburg 1/1980, 1–10 (preprint, 1980).
MATH Google Scholar
GUIVARC’H, Y.: Sur la loi des grands nombres et le rayon spectral d’ une marche aléatoire sur un groupe de Lie. Astérisque 74, 47–98 (1980).
MathSciNet MATH Google Scholar
HOWARD, R.A.: Dynamic Probabilistic Systems. Vol. I. New York-London-Sidney-Toronto: John Wiley & Sons. 1971.
MATH Google Scholar
LE PAGE, E.: Théorèmes quotients pour les marches aléatoires. C.R. Acad. Sc. Paris 279 A, 68–72 (1974).
MATH Google Scholar
PLOTKIN, J.M. and J. ROSENTHAL: Some asymptotic methods in combinatorics. J. Austral. Math. Soc. Ser. A 28, 452–460 (1979).
Article MathSciNet MATH Google Scholar
SAWYER, S.: Isotropic random walks in a tree. Z. Wahrescheinlichkeitsth. verw. Gebiete 42, 279–292 (1978).
Article MathSciNet MATH Google Scholar
VERE-JONES, D.: Geometric ergodicity in denumerable Marcov chains. Quarterly J. Math. 13, 7–28 (1962).
Article MathSciNet MATH Google Scholar
WOESS, W.: Puissances de convolution sur les groupes libres ayant un nombre quelconque de générateurs. To appear, Astérisque (preprint in Arbeitsber. Math. Inst. Univ. Salzburg 1-2/1981, 13–22).
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Wolfgang Woess
Present address: Institut für Mathematik der, Universität Salzburg, Patersbrunnstraße 19, A-5020, Salzburg, Austria

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Wolfgang Woess
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Herbert Heyer

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Woess, W. (1982). A local limit theorem for random walks on certain discrete groups. In: Heyer, H. (eds) Probability Measures on Groups. Lecture Notes in Mathematics, vol 928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093237

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DOI: https://doi.org/10.1007/BFb0093237
Published: 12 October 2006
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11501-4
Online ISBN: 978-3-540-39206-4
eBook Packages: Springer Book Archive

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