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Uniqueness of multi-dimensional infinite volume self-organized critical forest-fire models

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Uniqueness of multi-dimensional infinite volume self-organized critical forest-fire models
2.	Creator	Author's name, affiliation, country	Maximilian Duerre; Mathematisches Institut der Universität München
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	forest-fires; self-organized criticality; forest-fire model; unique; adapted
3.	Subject	Subject classification	Primary 60K35, 82C20, 82C22
4.	Description	Abstract	In a forest-fire model, each site of the square lattice is either vacant or occupied by a tree. Vacant sites get occupied according to independent rate 1 Poisson processes. Independently at each site ignition occurs according to independent rate lambda Poisson processes. When a site is hit by ignition, then its whole occupied cluster becomes vacant instantaneously. The article studies whether a multi-dimensional infinite volume forest-fire process with given parameter is unique. Under an assumption on the decay of the cluster size distribution, a process that dominates the forest-fire process is used to show uniqueness. If lambda is big enough, then subcritical site percolation shows the correctness of the assumption
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2006-12-10
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1229
10.	Identifier	Digital Object Identifier	10.1214/ECP.v11-1229
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 11
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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