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arXiv 1811.04789physics.optics
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随机laser发射中的统计离群值

Statistical outliers in random laser emission

Federico Tommasi, Lorenzo Fini, Emilio Ignesti, Stefano Lepri, Fabrizio Martelli, Stefano Cavalieri

摘要:

我们提供了理论和实验证据的统计异常值在随机激光发射,不占,现在建立的,幂律尾(Lévy)分布。这些异常值表现为在平滑背景上的单个大的孤立尖峰。统计检验令人信服地表明,它们的概率大于从低强度事件推断的概率。为了与实验数据进行比较,我们引入了异常参数,该参数允许从实验光谱测量中识别这种罕见的事件,并且与我们的Monte Carlo模型的模拟一致。讨论了一种可能的解释,即黑天鹅或龙王,这类大事件具有不同于同类事件的生成机制。

英文摘要:

We provide theoretical and experimental evidence of statistical outliers in random laser emission that are not accounted for by the, now established, power-law tailed (Lévy) distribution. Such outliers manifest themselves as single, large isolated spikes over an otherwise smooth background. A statistical test convincingly shows that their probability is larger than the one extrapolated from lower-intensity events. To compare with experimental data, we introduced the anomaly parameter that allows for an identification of such rare events from experimental spectral measurements and that agrees as well with the simulations of our Monte Carlo model. A possible interpretation in terms of Black Swans or Dragon Kings, large events having a different generation mechanism from their peers, is discussed.

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