Published December 2007
| Version Accepted Version
Journal Article
Open
Fluctuation Properties of the TASEP with Periodic Initial Configuration
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1.
California Institute of Technology
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2.
Technical University of Munich
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3.
Chiba University
Abstract
We consider the joint distributions of particle positions for the continuous time totally asymmetric simple exclusion process (TASEP). They are expressed as Fredholm determinants with a kernel defining a signed determinantal point process. We then consider certain periodic initial conditions and determine the kernel in the scaling limit. This result has been announced first in a letter by one of us (Sasamoto in J. Phys. A 38:L549–L556, 2005) and here we provide a self-contained derivation. Connections to last passage directed percolation and random matrices are also briefly discussed.
Additional Information
© 2007 Springer Science+Business Media, LLC. Received: 14 December 2006; Accepted: 24 July 2007; Published online: 6 October 2007. P.L. Ferrari would like to thank H. Spohn for useful discussions and for suggesting the compact form of the kernel obtained during our previous work [11]. A. Borodin was partially supported by the NSF grant DMS-0402047 and the CRDF grant RIM1-2622-ST-04. The work of T. Sasamoto is partly supported by the Grant-in-Aid for Young Scientists (B), the Ministry of Education, Culture, Sports, Science and Technology, Japan.Attached Files
Accepted Version - 0608056.pdf
Files
0608056.pdf
Additional details
Identifiers
- Eprint ID
- 99268
- Resolver ID
- CaltechAUTHORS:20191015-100453408
Related works
- Describes
- https://arxiv.org/abs/math-ph/0608056 (URL)
Funding
- NSF
- DMS-0402047
- Civilian Research & Development Foundation
- RIM1-2622-ST-04
- Ministry of Education, Culture, Sports, Science and Technology (MEXT)
Dates
- Created
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2019-10-15Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field