Email this article Fundamental constants in the theory of two-dimensional uniform spanning trees
- Authors: Poghosyan V.S.1,2, Priezzhev V.B.2
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Affiliations:
- Institute for Informatics and Automation Problems
- Bogoliubov Laboratory of Theoretical Physics
- Issue: Vol 187, No 3 (2016)
- Pages: 952-963
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/170669
- DOI: https://doi.org/10.1134/S0040577916060118
- ID: 170669
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Abstract
Three characteristics of two-dimensional uniform spanning trees are nontrivially related to one another: the average density of a sandpile, the looping constant of a square lattice, and the return probability of a loop-erased random walk. We briefly trace the long history of the discovery of their unexpected rational values.
About the authors
V. S. Poghosyan
Institute for Informatics and Automation Problems; Bogoliubov Laboratory of Theoretical Physics
Author for correspondence.
Email: vpoghos@theor.jinr.ru
Armenia, Yerevan; Dubna
V. B. Priezzhev
Bogoliubov Laboratory of Theoretical Physics
Email: vpoghos@theor.jinr.ru
Russian Federation, Dubna
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