Statistics > Applications
[Submitted on 3 Nov 2019
]
Title: A simple study of the correlation effects in the superposition of waves of electric fields: the emergence of extreme events
Title: 电场波叠加中相关效应的简单研究：极端事件的出现
Abstract: In this paper, we study the effects of correlated random phases in the intensity of a superposition of $N$ wave-fields. Our results suggest that regardless of whether the phase distribution is continuous or discrete if the phases are random correlated variables, we must observe a heavier tail distribution and the emergence of extreme events as the correlation between phases increases. We believe that such a simple method can be easily applied in other situations to show the existence of extreme statistical events in the context of nonlinear complex systems.
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