Exponential Growth of Ponds in Invasion Percolation on Regular Trees

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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

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