We prove that the Stern diatomic sequence is asymptotically distributed according to a normal law, on a logarithmic scale. This is obtained by studying complex moments, and the analytic properties of a transfer operator.

中文翻译：

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Stern 序列的统计分布

我们证明 Stern 双原子序列在对数尺度上根据正态定律渐近分布。这是通过研究复矩和传递算子的解析特性获得的。