LOCALITY OF THE CRITICAL PROBABILITY FOR TRANSITIVE GRAPHS OF EXPONENTIAL GROWTH
LOCALITY OF THE CRITICAL PROBABILITY FOR TRANSITIVE GRAPHS OF EXPONENTIAL GROWTH
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Publisher
Institute of Mathematical Statistics
Journal title
Language
English
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Institute of Mathematical Statistics
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Around 2008, Schramm conjectured that the critical probabilities for Bernoulli bond percolation satisfy the following continuity property: If (Gn)n≥1
is a sequence of transitive graphs converging locally to a transitive graph G and lim sup
n→∞
pc
(Gn
) < 1, then pc(Gn)→pc(G) as n→∞. We verify this conjecture under the additional hypo...
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Full title
LOCALITY OF THE CRITICAL PROBABILITY FOR TRANSITIVE GRAPHS OF EXPONENTIAL GROWTH
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Record Identifier
TN_cdi_crossref_primary_10_1214_19_AOP1395
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_crossref_primary_10_1214_19_AOP1395
Other Identifiers
ISSN
0091-1798
E-ISSN
2168-894X
DOI
10.1214/19-AOP1395
