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On the second order fluctuations for minimal difference partitions

Author

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  • Dai, Guozheng
  • Su, Zhonggen

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.

Suggested Citation

  • Dai, Guozheng & Su, Zhonggen, 2022. "On the second order fluctuations for minimal difference partitions," Statistics & Probability Letters, Elsevier, vol. 189(C).
    • Handle: RePEc:eee:stapro:v:189:y:2022:i:c:s0167715222001225
    DOI: 10.1016/j.spl.2022.109565
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