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 $q\ge 0$. As an extension, Bogachev and Yakubovich (2020) introduced a variable MDP-type condition encoded by an integer sequence $\overrightarrow{q}=\left(q_i\right)$ 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.

中文翻译：

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关于最小差分分区的二阶波动

最小差分分区 MDP(q) 的类别由整数分区中的连续部分彼此至少相差至少$q\ge 0$. 作为扩展，Bogachev 和 Yakubovich (2020) 引入了一个由整数序列编码的可变 MDP 类型条件$\overrightarrow{q}=\left(q_{\mathrm{一世}}\right)$并找到极限形状。基于他们的工作，我们建立了一个中心极限定理，用于零件在边缘附近极限形状附近的波动。