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Plaquettes, Spheres, and Entanglement

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Plaquettes, Spheres, and Entanglement
2.	Creator	Author's name, affiliation, country	Geoffrey R Grimmett; University of Cambridge; United Kingdom
2.	Creator	Author's name, affiliation, country	Alexander E Holroyd; Microsoft Research; United States
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	entanglement; percolation; random sphere
3.	Subject	Subject classification	60K35; 82B20
4.	Description	Abstract	The high-density plaquette percolation model in $d$ dimensions contains a surface that is homeomorphic to the $(d-1)$-sphere and encloses the origin. This is proved by a path-counting argument in a dual model. When $d=3$, this permits an improved lower bound on the critical point $p_e$ of entanglement percolation, namely $p_e\geq \mu^{-2}$ where $\mu$ is the connective constant for self-avoiding walks on $\mathbb{Z}^3$. Furthermore, when the edge density $p$ is below this bound, the radius of the entanglement cluster containing the origin has an exponentially decaying tail.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Microsoft Research, Isaac Newton Institute
7.	Date	(YYYY-MM-DD)	2010-09-19
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/804
10.	Identifier	Digital Object Identifier	10.1214/EJP.v15-804
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 15
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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