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Asymptotic Normality and Concentration Inequalities of Statistics of Core Partitions with Bounded Perimeters

Asymptotic Normality and Concentration Inequalities of Statistics of Core Partitions with Bounded Perimeters

Core partitions have attracted much attention since Anderson's work (2002) on the number of $(s,t)$-core partitions for coprime $s,t$. Recently there has been interest in studying the limit distribution of the sizes of random simultaneous core partitions. In this paper, we prove the asymptotic normality of certain statistics of random …