SELF-AVOIDING WALK ON NONUNIMODULAR TRANSITIVE GRAPHS
SELF-AVOIDING WALK ON NONUNIMODULAR TRANSITIVE GRAPHS
About this item
Full title
Author / Creator
Publisher
Institute of Mathematical Statistics
Journal title
Language
English
Formats
Publication information
Publisher
Institute of Mathematical Statistics
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Scope and Contents
Contents
We study self-avoiding walk on graphs whose automorphism group has a transitive nonunimodular subgroup. We prove that self-avoiding walk is ballistic, that the bubble diagram converges at criticality, and that the critical two-point function decays exponentially in the distance from the origin. This implies that the critical exponent governing the...
Alternative Titles
Full title
SELF-AVOIDING WALK ON NONUNIMODULAR TRANSITIVE GRAPHS
Authors, Artists and Contributors
Author / Creator
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Primary Identifiers
Record Identifier
TN_cdi_crossref_primary_10_1214_18_AOP1322
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_crossref_primary_10_1214_18_AOP1322
Other Identifiers
ISSN
0091-1798
E-ISSN
2168-894X
DOI
10.1214/18-AOP1322
