Asymptotic Behaviors of The Size of The Largest Cluster in One Dimensional Percolation
classification
🧮 math.PR
keywords
asymptoticbehaviorsclusterlargestlengthbernoullicriticaldimensional
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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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