Published November 2001
| Version Submitted
Journal Article
Open
A Fredholm Determinant Identity and the Convergence of Moments for Random Young Tableaux
Creators
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1.
Princeton University
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2.
University of Pennsylvania
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
Submitted - 0012117.pdf
Files
0012117.pdf
Additional details
Identifiers
- Eprint ID
- 81981
- Resolver ID
- CaltechAUTHORS:20171003-074824665
Related works
- Describes
- https://arxiv.org/abs/math/0012117 (URL)
Funding
- NSF
- DMS 97-29992
- NSF
- DMS 00-03268
- John Simon Guggenheim Foundation
Dates
- 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
Caltech Custom Metadata
- Caltech groups
- Mathematics Department