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Anomalous diffusion of random walk on random planar maps

Anomalous diffusion of random walk on random planar maps

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2440539948

Anomalous diffusion of random walk on random planar maps

About this item

Full title

Anomalous diffusion of random walk on random planar maps

Author / Creator

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

Journal title

Probability theory and related fields, 2020-10, Vol.178 (1-2), p.567-611

Language

English

Formats

Publication information

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

More information

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

Identifiers

Primary Identifiers

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

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