Published August 25, 2008
| Published
Journal Article
Open
Large time asymptotics of growth models on space-like paths I: PushASEP
- Creators
- Borodin, Alexei
-
Ferrari, Patrik L.
Chicago
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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 the height 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.
Additional Information
Copyright © 2008, The Authors. Submitted to EJP on August 30, 2007, final version accepted August 11, 2008. are very grateful to the anonymous referee for careful reading and a number of constructive remarks. A. Borodin was partially supported by the NSF grants DMS-0402047 and DMS-0707163.Attached Files
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Additional details
- Eprint ID
- 11810
- Resolver ID
- CaltechAUTHORS:BORejp08
- National Science Foundation
- DMS-0402047
- National Science Foundation
- DMS-0707163
- Created
-
2008-10-01Created from EPrint's datestamp field
- Updated
-
2020-03-09Created from EPrint's last_modified field