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Shifted Schur process and asymptotics of large random strict plane partitions

Mirjana Vuletić
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Abstract

In this paper we define the shifted Schur process as a measure on sequences of strict partitions. This process is a generalization of the shifted Schur measure introduced in [TW] and [Mat] and is a shifted version of the Schur process introduced in [OR]. We prove that the shifted Schur process defines a Pfaffian point process. We further apply this fact to compute the bulk scaling limit of the correlation functions for a measure on strict plane partitions which is an analog of the uniform measure on ordinary plane partitions. As a byproduct, we obtain a shifted analog of the famous MacMahon's formula.

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Mirjana Vuletić. 2007-02-20. Shifted Schur process and asymptotics of large random strict plane partitions. https://arxiv.org/abs/math-ph/0702068

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