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6 - Amenability of Trees

Published online by Cambridge University Press:  20 July 2017

Behrang Forghani
Affiliation:
Department of Mathematics, University of Connecticut, Connecticut, USA
Keivan Mallahi-Karai
Affiliation:
Mathematics Department, Jacobs University of Bremen, Germany
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

[AAV13] Gideon, Amir, Omer, Angel, and Bálint, Virág. Amenability of linearactivity automaton groups. J. Eur. Math. Soc. (JEMS), 3(3):705– 30, 2013.Google Scholar
[AN72] Krishna B., Athreya and Peter E., Ney. Branching processes. Springer- Verlag, New York-Heidelberg, 1972. Die Grundlehren der mathematischen Wissenschaften, Band 196.
[BKN10] Laurent, Bartholdi, Vadim A., Kaimanovich, and Volodymyr V., Nekrashevych. On amenability of automata groups. Duke Math. J., 3(3):575–98, 2010.Google Scholar
[Føl55] Erling, Følner. On groups with full Banach mean value. Math. Scand., 3:243–54, 1955.Google Scholar
[Ger86] Peter, Gerl. Eine isoperimetrische Eigenschaft von Bäumen. Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II, 195(1-3): 49–52, 1986.Google Scholar
[Ger88] Peter, Gerl. Amenable groups and amenable graphs. In Harmonic analysis (Luxembourg, 1987), volume 1359 of Lecture Notes in Math., pp. 181–90. Springer, Berlin, 1988.
[Kai05] Vadim A., Kaimanovich. “Münchhausen trick” and amenability of self-similar groups. Internat. J. Algebra Comput., 15(5-6):907–37, 2005.Google Scholar
[Kes59] Harry, Kesten. Full Banach mean values on countable groups. Math. Scand., 7:146–156, 1959.Google Scholar
[vN29] John von, Neumann. Zur allgemeinen theorie des maßes. Fundamenta Mathematica, 13:73–116, 1929.Google Scholar
[Woe00] Wolfgang, Woess. Random walks on infinite graphs and groups, vol. 138 of Cambridge Tracts in Mathematics. Cambridge University Press, 2000.
[Zim78] Robert J., Zimmer. Amenable ergodic group actions and an application to Poisson boundaries of random walks. J. Functional Analysis, 3(3):350–72, 1978.Google Scholar

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