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Sandpile models

Járai, Antal A....

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Sandpile models by Járai, Antal A. ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-09-2023
Summary	This survey is an extended version of lectures given at the Cornell Probability Summer School 2013. The fundamental facts about the Abelian sandpile model on a finite graph and its connections to related models are presented. We discuss exactly computable results via Majumdar and Dhar's method. The main ideas of Priezzhev's computation of the height probabilities in 2D are also presented, including explicit error estimates involved in passing to the limit of the infinite lattice. We also discuss various questions arising on infinite graphs, such as convergence to a sandpile measure, and stabilizability of infinite configurations.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1401.0354

Citation

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AMA 11th EditionReferences

Járai, Antal A.. Sandpile models. Australian National University. September 01, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/22994

APA 7th EditionReferences

Járai, Antal A.. (2023). Sandpile models. Australian National University. https://online.provdatabase.com/cite/22994

Chicago 17th EditionReferences

Járai, Antal A.. Sandpile models. Australian National University. 2023. https://online.provdatabase.com/cite/22994

HarvardReferences

Járai, Antal A.. (2023). Sandpile models. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/22994. (Accessed 20 September 2024).

Harvard AustraliaReferences

Járai, Antal A., 2023, Sandpile models, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/22994>

MLA 9th EditionWorks Cited

Járai, Antal A.. Sandpile models. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/22994.

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