Unimodular hyperbolic triangulations: circle packing and random walk
Unimodular hyperbolic triangulations: circle packing and random walk
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Publisher
Berlin/Heidelberg: Springer Berlin Heidelberg
Journal title
Language
English
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Publisher
Berlin/Heidelberg: Springer Berlin Heidelberg
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Scope and Contents
Contents
We show that the circle packing type of a unimodular random plane triangulation is parabolic if and only if the expected degree of the root is six, if and only if the triangulation is amenable in the sense of Aldous and Lyons [
1
]. As a part of this, we obtain an alternative proof of the Benjamini–Schramm Recurrence Theorem [
19
]. Sec...
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Full title
Unimodular hyperbolic triangulations: circle packing and random walk
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TN_cdi_proquest_journals_2415721961
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2415721961
Other Identifiers
ISSN
0020-9910
E-ISSN
1432-1297
DOI
10.1007/s00222-016-0653-9
