EXCEPTIONAL PLANES OF PERCOLATION

Authors
BENJAMINI I SCHRAMM O
Citation
I. Benjamini et O. Schramm, EXCEPTIONAL PLANES OF PERCOLATION, Probability theory and related fields, 111(4), 1998, pp. 551-564
Citations number
12
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Probability theory and related fields → ACNP
ISSN journal
01788051
Volume
111
Issue
4
Year of publication
1998
Pages
551 - 564
Database
ISI
SICI code
0178-8051(1998)111:4<551:EPOP>2.0.ZU;2-F
Abstract
Consider the standard continuous percolation in IR4, and choose the pa rameters so that the induced percolation on a fixed two dimensional li near subspace is critical. Although two dimensional critical percolati on dies, we show that there are exceptional two dimensional linear sub spaces, in which percolation occurs.