This article is available for purchase or by subscription. See below.
Abstract
|
The infinite discrete stable Boltzmann maps are generalisations of the
well-known uniform infinite planar quadrangulation in the case where
large degree faces are allowed. We show that the simple random walk
on these random lattices is always subdiffusive with exponent less than
. Our
method is based on stationarity and geometric estimates obtained via the peeling
process which are of individual interest.
|
PDF Access Denied
We have not been able to recognize your IP address
18.118.120.109
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
random maps, random walk, subdiffusivity, anomalous
diffusion, peeling
|
Mathematical Subject Classification 2010
Primary: 05C81, 60D05
Secondary: 05C80, 60G10, 82B41
|
Milestones
Received: 29 October 2019
Revised: 28 August 2020
Accepted: 12 October 2020
Published: 16 March 2021
|
|