On the second order fluctuations for minimal difference partitions

Guozheng Dai and Zhonggen Su

Statistics & Probability Letters, 2022, vol. 189, issue C

Abstract: The class of minimal difference partitions MDP(q) is defined by the condition that successive parts in an integer partition differ from one another by at least q≥0. As an extension, Bogachev and Yakubovich (2020) introduced a variable MDP-type condition encoded by an integer sequence q→=qi and found the limit shape. Based on their work, we establish a central limit theorem for the fluctuations of parts around the limit shape near the edge.

Keywords: Central limit theorems; Minimal difference partitions; Uniform measure (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1016/j.spl.2022.109565

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