Published July 2008
| Version Submitted
Journal Article
Open
Airy Kernel with Two Sets of Parameters in Directed Percolation and Random Matrix Theory
Creators
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1.
California Institute of Technology
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2.
Institute for Information Transmission Problems
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3.
Institut Fourier
Abstract
We introduce a generalization of the extended Airy kernel with two sets of real parameters. We show that this kernel arises in the edge scaling limit of correlation kernels of determinantal processes related to a directed percolation model and to an ensemble of random matrices.
Additional Information
© 2008 Springer Science+Business Media, LLC. Received: 8 January 2008; Accepted: 22 April 2008; Published online: 13 May 2008. The first named author was partially supported by the NSF grants DMS-0402047 and DMS-0707163. The second named author was visiting UC Davis when this paper was written. She would like to thank especially A. Soshnikov who allowed her to spend a great year at UC Davis and encouraged this work. The authors are also very grateful to Peter Forrester for a number of valuable remarks.Attached Files
Submitted - 0712.1086.pdf
Files
0712.1086.pdf
Additional details
Identifiers
- Eprint ID
- 88814
- Resolver ID
- CaltechAUTHORS:20180815-094909599
Related works
- Describes
- https://arxiv.org/abs/0712.1086 (URL)
Funding
- NSF
- DMS-0402047
- NSF
- DMS-0707163
Dates
- Created
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2018-08-15Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field