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Brunel, A.; Revuz, D.

Sur la théorie du renouvellement pour les groupes non abeliens. (French) Zbl 0324.60056

Isr. J. Math. 20, 46-56 (1975).
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Cited in 7 Documents

MSC:

60G50 Sums of independent random variables; random walks
60K05 Renewal theory
60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
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\textit{A. Brunel} and \textit{D. Revuz}, Isr. J. Math. 20, 46--56 (1975; Zbl 0324.60056)
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References:

[1] R. Azencott,Espaces de Poisson des groupes localement compacts, Lecture Notes in Mathematics, 148, Springer-Verlag, Berlin, (1970). · Zbl 0239.60008
[2] C. Bellaiche-Fremond et M. Sueur-Pontier,Caractérisation des groupes localement compacts de type (T) ayant la propriété de point fixe, Ann. Inst. H. Poincaré VII4 (1971), 293–298.
[3] A. Brunel et D. Revuz,Marches de Harris sur les groupes localement compacts I, A paraître dans Ann. Ecole Normale Supérieure. · Zbl 0324.60055
[4] Y. Derriennic et Y. Guivarc’h,Théorème de renouvellement pour les groupes non moyennables, C.R. Acad. Sci. Sér. A,277, 613–615, (1973). · Zbl 0272.60005
[5] W. Feller,An Introduction to Probability Theory and Its Applications, Vol. 2, Wiley, New York, 1966. · Zbl 0138.10207
[6] Y. Guivarc’h,Croissance polynomide et période des fonctions harmoniques, Bull. Soc. Math. France.101 (1973), 333–379.
[7] Y. Guivarc’h et M. Keane,Un théorème de renouvellement pour les groupes nilpotents, Asterisque,4, 1973.
[8] C. S. Herz,Les théorèmes de renouvellement, Ann. Inst. Fourier, (Grenoble)15 (1965), 169–188. · Zbl 0202.47103
[9] H. Kesten and F. Spitzer,Random walk on countably infinite abelian groups, Acta Math.114 (1965), 237–265. · Zbl 0146.38301 · doi:10.1007/BF02391823
[10] Malcev, Amer. Math. Soc. Trans. No. 39, 1957.
[11] D. Montgomery and L. Zippin,Topological transformation groups, Interscience, New York, 1955. · Zbl 0068.01904
[12] D. S. Ornstein,Random walks I, Trans. Amer. Math. Soc.138 (1969), 1–43. · Zbl 0181.44501 · doi:10.1090/S0002-9947-1969-0238399-9
[13] C. C. Port and C. J. Stone,Potential theory of random walks on abelian groups, Acta Math.122 (1969), 19–114. · Zbl 0183.47201 · doi:10.1007/BF02392007
[14] D. Revuz,Markov Chains, A paraître.
[15] D. Revuz,Théorème du renouvellement pour une classe de groupes de Lie et d’espaces homogènes, C.R. Acad. Sci. Paris, Sér. A,273 (1971), 246–247. · Zbl 0218.60009
[16] F. Spitzer,Principles of random walks, Van Nostrand, New York, 1964. · Zbl 0119.34304
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