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

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

2010-11-18

arxiv.org/abs/1011.4183v2

Mathematics

Probability

This paper has been withdrawn by the auther. Because the main result (Theorem 1.1) is not new, it was first proved by Erdos an

Scientific paper

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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