Correlation function of the Schur process with a fixed final partition

Details Correlation function of the Schur process with a fixed final partition Correlation function of the Schur process with a fixed final partition

2008-04-25

arxiv.org/abs/0804.4106v2

J. Math. Phys. 49, 053302 (2008)

Physics

Mathematical Physics

28 pages, 2 figures

Scientific paper

10.1063/1.2908157

We consider a generalization of the Schur process in which a partition evolves from the empty partition into an arbitrary fixed final partition. We obtain a double integral representation of the correlation kernel. For a special final partition with only one row, the edge scaling limit is also discussed by the use of the saddle point analysis. If we appropriately scale the length of the row, the limiting correlation kernel changes from the extended Airy kernel.

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