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Internal aggregation models on comb lattices

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Internal aggregation models on comb lattices
2.	Creator	Author's name, affiliation, country	Wilfried Huss; Vienna University of Technology; Austria
2.	Creator	Author's name, affiliation, country	Ecaterina Sava; Graz University of Technology; Austria
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	growth model; comb lattice; internal diffusion limited aggregation; rotor-router aggregation; divisible sandpile; asymptotic shape; random walk; rotor-router walk
3.	Subject	Subject classification	60J10; 05C81
4.	Description	Abstract	The two-dimensional comb lattice $\mathcal{C}_2$ is a natural spanning tree of the Euclidean lattice  $\mathbb{Z}^2$. We study three related cluster growth models on $\mathcal{C}_2$: internal diffusion limited aggregation (IDLA), in which random walkers move on the vertices of $\mathcal{C}_2$ until reaching an unoccupied  site where they stop; rotor-router aggregation in which particles perform deterministic walks, and stop when reaching a site previously unoccupied; and the divisible sandpile model where at  each vertex there is a pile of sand, for which, at each step, the mass exceeding $1$ is distributed equally among the neighbours. We describe the shape of the divisible sandpile cluster on $\mathcal{C}_2$,  which is then used to give inner bounds for IDLA and rotor-router aggregation.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2012-04-12
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/1940
10.	Identifier	Digital Object Identifier	10.1214/EJP.v17-1940
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 17
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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