Navigation auf zora.uzh.ch

Search ZORA

ZORA (Zurich Open Repository and Archive)

Migration von ZORA auf die Software DSpace

ZORA will change to a new software on 8th September 2025. Please note: deadline for new submissions is 21th July 2025!

Information & dates for training courses can be found here: Information on Software Migration.

Almost giant clusters for percolation on large trees with logarithmic heights

Bertoin, Jean (2013). Almost giant clusters for percolation on large trees with logarithmic heights. Journal of Applied Probability, 50(3):603-611.

Abstract

This paper is based on works presented at the 2012 Applied Probability Trust Lecture in Sheffield; its main purpose is to survey the recent asymptotic results of Bertoin (2012a) and Bertoin and Uribe Bravo (2012b) about Bernoulli bond percolation on certain large random trees with logarithmic height. We also provide a general criterion for the existence of giant percolation clusters in large trees, which answers a question raised by David Croydon.

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Statistics and Probability
Physical Sciences > General Mathematics
Social Sciences & Humanities > Statistics, Probability and Uncertainty
Language:English
Date:2013
Deposited On:22 Nov 2013 11:31
Last Modified:09 Jun 2025 01:41
Publisher:Applied Probability Trust
ISSN:0021-9002
OA Status:Closed
Publisher DOI:https://doi.org/10.1239/jap/1378401225

Metadata Export

Statistics

Citations

Dimensions.ai Metrics
11 citations in Web of Science®
13 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

1 download since deposited on 22 Nov 2013
0 downloads since 12 months
Detailed statistics

Authors, Affiliations, Collaborations

Similar Publications