Published November 2001
| Submitted
Journal Article
Open
A Fredholm Determinant Identity and the Convergence of Moments for Random Young Tableaux
- Creators
- Baik, Jinho
- Deift, Percy
-
Rains, Eric
Abstract
We obtain an identity between Fredholm determinants of two kinds of operators, one acting on functions on the unit circle and the other acting on functions on a subset of the integers. This identity is a generalization of an identity between a Toeplitz determinant and a Fredholm determinant that has appeared in the random permutation context. Using this identity, we prove, in particular, convergence of moments for arbitrary rows of a random Young diagram under Plancherel measure.
Additional Information
© 2001 Springer-Verlag Berlin Heidelberg. Received: 19 December 2000; Accepted: 23 July 2001. The authors would like to thank Xin Zhou for useful comments. The authors would also like to thank Albrecht Böttcher for pointing out a calculational error in an earlier version of the text. The work of the first author was supported in part by NSF Grant # DMS 97-29992. The work of the second author was supported in part by NSF Grant # DMS 00-03268, and also by the Guggenheim Foundation.Attached Files
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Additional details
- Eprint ID
- 81981
- Resolver ID
- CaltechAUTHORS:20171003-074824665
- DMS 97-29992
- NSF
- DMS 00-03268
- NSF
- John Simon Guggenheim Foundation
- Created
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2017-10-03Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field