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Large time asymptotics of growth models on space-like paths I: PushASEP

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Large time asymptotics of growth models on space-like paths I: PushASEP
2.	Creator	Author's name, affiliation, country	Alexei Borodin; Caltech
2.	Creator	Author's name, affiliation, country	Patrik L Ferrari; WIAS Berlin
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	stochastic growth, KPZ, determinantal processes, Airy processes
3.	Subject	Subject classification	82C22; 60K35; 15A52
4.	Description	Abstract	We consider a new interacting particle system on the one-dimensional lattice that interpolates between TASEP and Toom's model: A particle cannot jump to the right if the neighboring site is occupied, and when jumping to the left it simply pushes all the neighbors that block its way. We prove that for flat and step initial conditions, the large time fluctuations of theheight function of the associated growth model along any space-like path are described by the Airy1 and Airy2 processes. This includes fluctuations of the height profile for a fixed time and fluctuations of a tagged particle's trajectory as special cases.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	A. Borodin was partially supported by the NSF grants DMS-0402047 and DMS-0707163
7.	Date	(YYYY-MM-DD)	2008-08-25
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/541
10.	Identifier	Digital Object Identifier	10.1214/EJP.v13-541
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 13
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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