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Poisson Boundaries of Lamplighter Groups...

Lyons, Russell...

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Poisson Boundaries of Lamplighter Groups: Proof of the Kaimanovich-Vershik Conjecture by Lyons, Russell ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	08-08-2015
Summary	We answer positively a question of Kaimanovich and Vershik from 1979, showing that the final configuration of lamps for simple random walk on the lamplighter group over Zd (d≥3) is the Poisson boundary. For d≥5, this had been shown earlier by Erschler (2011). We extend this to walks of more general types on more general groups.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	http://arxiv.org/abs/1508.01845

Citation

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AMA 11th EditionReferences

Lyons, Russell. Poisson Boundaries of Lamplighter Groups: Proof of the Kaimanovich-Vershik Conjecture. N.A. August 08, 2015. Accessed August 16, 2025. https://online.provdatabase.com/cite/18868

APA 7th EditionReferences

Lyons, Russell. (2015). Poisson Boundaries of Lamplighter Groups: Proof of the Kaimanovich-Vershik Conjecture. N.A. https://online.provdatabase.com/cite/18868

Chicago 17th EditionReferences

Lyons, Russell. Poisson Boundaries of Lamplighter Groups: Proof of the Kaimanovich-Vershik Conjecture. N.A. 2015. https://online.provdatabase.com/cite/18868

HarvardReferences

Lyons, Russell. (2015). Poisson Boundaries of Lamplighter Groups: Proof of the Kaimanovich-Vershik Conjecture. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18868. (Accessed 16 August 2025).

Harvard AustraliaReferences

Lyons, Russell, 2015, Poisson Boundaries of Lamplighter Groups: Proof of the Kaimanovich-Vershik Conjecture, N.A, viewed 16 August 2025, <https://online.provdatabase.com/cite/18868>

MLA 9th EditionWorks Cited

Lyons, Russell. Poisson Boundaries of Lamplighter Groups: Proof of the Kaimanovich-Vershik Conjecture. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18868.

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