No percolation at criticality on certain groups of intermediate growth
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Hermon, Jonathan https://orcid.org/0000-0002-2935-3999
Hutchcroft, Tom
Abstract
We prove that critical percolation has no infinite clusters almost surely on
any unimodular quasi-transitive graph satisfying a return probability upper
bound of the form
Description
Keywords
math.PR, math.PR, math.GR
Journal Title
International Mathematics Research Notices
Conference Name
Journal ISSN
1073-7928
1687-0247
1687-0247
Volume Title
Publisher
Oxford University Press (OUP)
Publisher DOI
Rights
All rights reserved
Sponsorship
Engineering and Physical Sciences Research Council (EP/L018896/1)