Asymptotic Behaviors of The Size of The Largest Cluster in One Dimensional Percolation

Yong-Hua Mao; Feng Wang; Xian-Yuan Wu

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arXiv · 1011.4183

Asymptotic Behaviors of The Size of The Largest Cluster in One Dimensional Percolation

Yong-Hua Mao·Feng Wang·Xian-Yuan Wu

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Abstract

This paper focuses on the asymptotic behaviors of the length of the largest 1-cluster in a finite iid Bernoulli sequence. We first reveal a critical phenomenon on the length and then study its limit distribution.

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Yong-Hua Mao, Feng Wang, Xian-Yuan Wu. 2010-11-18. Asymptotic Behaviors of The Size of The Largest Cluster in One Dimensional Percolation. https://arxiv.org/abs/1011.4183

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