Anomalous diffusion of random walk on random planar maps
Anomalous diffusion of random walk on random planar maps
About this item
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Author / Creator
Publisher
Berlin/Heidelberg: Springer Berlin Heidelberg
Journal title
Language
English
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Publication information
Publisher
Berlin/Heidelberg: Springer Berlin Heidelberg
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Scope and Contents
Contents
We prove that the simple random walk on the uniform infinite planar triangulation (UIPT) typically travels graph distance at most
n
1
/
4
+
o
n
(
1
)
in
n
units of time. Together with the complementary lower bound proven by Gwynne and Miller (2017) this shows that the typical graph distance displacement of the...
Alternative Titles
Full title
Anomalous diffusion of random walk on random planar maps
Authors, Artists and Contributors
Author / Creator
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Record Identifier
TN_cdi_proquest_journals_2440539948
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2440539948
Other Identifiers
ISSN
0178-8051
E-ISSN
1432-2064
DOI
10.1007/s00440-020-00986-7