Correlation functions of the shifted Schur measure

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概要

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• The shifted Schur measure introduced in \cite{TracyWidom200?} 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.

• 一般社団法人 日本数学会の論文
• 2005-07-01

著者

• Matsumoto Sho

  Graduate School of Mathematics Kyushu University

関連論文

• Correlation functions of the shifted Schur measure

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