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- W1966732743 abstract "The shifted Schur measure introduced in [TW2] is a measure on the set of all strict partitions, which is defined by Schur Q -functions. The main aim of this paper is to calculate the correlation function of this measure, which is given by a pfaffian. As an application, we prove that a limit distribution of parts of partitions with respect to a shifted version of the Plancherel measure for symmetric groups is identical with the corresponding distribution of the original Plancherel measure. In particular, we obtain a limit distribution of the length of the longest ascent pair for a random permutation. Further we give expressions of the mean value and the variance of the size of partitions with respect to the measure defined by Hall-Littlewood functions." @default.
- W1966732743 created "2016-06-24" @default.
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- W1966732743 date "2005-07-01" @default.
- W1966732743 modified "2023-09-27" @default.
- W1966732743 title "Correlation functions of the shifted Schur measure" @default.
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- W1966732743 doi "https://doi.org/10.2969/jmsj/1158241925" @default.
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