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4 - A Construction of the Measurable Poisson Boundary: From Discrete to Continuous Groups

Published online by Cambridge University Press:  20 July 2017

Sara Brofferio
Affiliation:
Université Paris-Sud, Laboratoire de Mathématiques et IUT de Sceaux, 91405 Orsay Cedex, France
Tullio Ceccherini-Silberstein
Affiliation:
Università degli Studi del Sannio, Italy
Maura Salvatori
Affiliation:
Università degli Studi di Milano
Ecaterina Sava-Huss
Affiliation:
Cornell University, New York
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Publisher: Cambridge University Press
Print publication year: 2017

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References

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[3] Brofferio, Sara: The Poisson boundary of random rational affinities, Ann. Inst. Fourier 56, (2006), 499–515.Google Scholar
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[7] Furman, Alex: Random walks on groups and random transformations, Handbook of dynamical systems, vol. 1A, pp. 931–1014, Amsterdam: North-Holland (2002).
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[10] Guivarc'h, Yves: Extension d'un théorème de Choquet-Deny à une classe de groupes non abéliens Séminaire KGB sur les Marches Aléatoires (Rennes, 1971–1972) 41–59. Astérisque, 4, Soc. Math. France, Paris, 1973.
[11] Guivarc'h,, Yves: Quelques proprits asymptotiques des produits de matrices alatoires. (French) Eighth Saint Flour Probability Summer School–1978 (Saint Flour, 1978), pp. 177–250, Lecture Notes in Math., 774, Springer, Berlin, 1980.
[12] Guivarc'h, Y., and Raugi, A.: Frontière de Furstenberg, proprétés de contraction et thórèmes de convergence.
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[16] Quint, J-F: Choquet-Deny theorem for critical measures on the group ax + b, Unpublished
[17] Raugi, Albert: Fonctions harmoniques sur les groupes localement compacts base dnombrable. (French) Bull. Soc. Math. France Mm. No. 54 (1977), 5–118.Google Scholar
[18] Raugi, Albert: Périodes des fonctions harmoniques bornées, Seminar on Probability, Rennes 1978 (French), Exp. No. 10, 16, Univ. Rennes, Rennes (1978).

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