Exponential Growth of Ponds in Invasion Percolation on Regular Trees

Goodman, Jesse

dc.contributor.author	Goodman, Jesse	en
dc.date.accessioned	2014-10-19T23:15:44Z	en
dc.date.issued	2012-06	en
dc.identifier.citation	Journal of Statistical Physics, 2012, 147 (5), pp. 919 - 941	en
dc.identifier.issn	0022-4715	en
dc.identifier.uri	http://hdl.handle.net/2292/23268	en
dc.description.abstract	In invasion percolation, the edges of successively maximal weight (the outlets) divide the invasion cluster into a chain of ponds separated by outlets. On the regular tree, the ponds are shown to grow exponentially, with law of large numbers, central limit theorem and large deviation results. The tail asymptotics for a fixed pond are also studied and are shown to be related to the asymptotics of a critical percolation cluster, with a logarithmic correction.	en
dc.language	aa	en
dc.relation.ispartofseries	Journal of Statistical Physics	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.springer.com/gp/open-access/authors-rights/self-archiving-policy/2124 http://www.sherpa.ac.uk/romeo/issn/0022-4715/	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.title	Exponential Growth of Ponds in Invasion Percolation on Regular Trees	en
dc.type	Journal Article	en
dc.identifier.doi	10.1007/s10955-012-0509-7	en
pubs.issue	5	en
pubs.begin-page	919	en
pubs.volume	147	en
dc.description.version	AM - Accepted Manuscript	en
pubs.end-page	941	en
dc.rights.accessrights	http://purl.org/eprint/accessRights/RestrictedAccess	en
pubs.subtype	Article	en
pubs.elements-id	457452	en
pubs.org-id	Science	en
pubs.org-id	Statistics	en
pubs.arxiv-id	0912.5205	en
dc.identifier.eissn	1572-9613	en
pubs.record-created-at-source-date	2014-10-20	en