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Percolation on an infinitely generated group
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Georgakopoulos, Agelos and Haslegrave, John (2020) Percolation on an infinitely generated group. Combinatorics, Probability & Computing, 29 (4). pp. 587-615. doi:10.1017/S096354832000005X ISSN 0963-5483.
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Official URL: https://doi.org/10.1017/S096354832000005X
Abstract
We give an example of a long range Bernoulli percolation process on a group non-quasi-isometric with ℤ, in which clusters are almost surely finite for all values of the parameter. This random graph admits diverse equivalent definitions, and we study their ramifications. We also study its expected size and point out certain phase transitions.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Combinatorics, Probability & Computing | ||||||||
Publisher: | Cambridge University Press | ||||||||
ISSN: | 0963-5483 | ||||||||
Official Date: | July 2020 | ||||||||
Dates: |
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Volume: | 29 | ||||||||
Number: | 4 | ||||||||
Page Range: | pp. 587-615 | ||||||||
DOI: | 10.1017/S096354832000005X | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Copyright Holders: | © Cambridge University Press 2020 | ||||||||
Date of first compliant deposit: | 22 August 2019 | ||||||||
Date of first compliant Open Access: | 20 August 2020 | ||||||||
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