dc.contributor.author |
Angel, Omer |
en |
dc.contributor.author |
Goodman, Jesse |
en |
dc.contributor.author |
Merle, Mathieu |
en |
dc.date.accessioned |
2014-10-17T03:15:05Z |
en |
dc.date.issued |
2013-01 |
en |
dc.identifier.citation |
Annals of Probability, 2013, 41 (1), pp. 229 - 261 |
en |
dc.identifier.issn |
0091-1798 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/23263 |
en |
dc.description.abstract |
We prove existence of the scaling limit of the invasion percolation cluster (IPC) on a regular tree. The limit is a random real tree with a single end. The contour and height functions of the limit are described as certain diffusive stochastic processes. This convergence allows us to recover and make precise certain asymptotic results for the IPC. In particular, we relate the limit of the rescaled level sets of the IPC to the local time of the scaled height function. |
en |
dc.language |
aa |
en |
dc.publisher |
Institute of Mathematical Statistics |
en |
dc.relation.ispartofseries |
Annals of Probability |
en |
dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.imstat.org/publications/copyrights/copyrightTA.pdf
http://www.sherpa.ac.uk/romeo/issn/0091-1798/ |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.title |
Scaling limit of the invasion percolation cluster on a regular tree |
en |
dc.type |
Journal Article |
en |
dc.identifier.doi |
10.1214/11-AOP731 |
en |
pubs.issue |
1 |
en |
pubs.begin-page |
229 |
en |
pubs.volume |
41 |
en |
dc.description.version |
VoR - Version of Record |
en |
dc.rights.holder |
Copyright:
Institute of Mathematical Statistics |
en |
pubs.end-page |
261 |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/RestrictedAccess |
en |
pubs.subtype |
Article |
en |
pubs.elements-id |
457451 |
en |
pubs.org-id |
Science |
en |
pubs.org-id |
Statistics |
en |
pubs.arxiv-id |
0910.4205 |
en |
pubs.record-created-at-source-date |
2014-10-17 |
en |