Correlation function of the Schur process with a fixed final partition

Autor:	Imamura, T., Sasamoto, T.
Rok vydání:	2008
Předmět:	Mathematical Physics Condensed Matter - Statistical Mechanics High Energy Physics - Theory Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	J. Math. Phys. 49, 053302 (2008)
Druh dokumentu:	Working Paper
DOI:	10.1063/1.2908157
Popis:	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. Comment: 28 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0804.4106 Zobrazit plný text záznamu View this record from Arxiv