Asymptotic behavior for a version of directed percolation on the honeycomb lattice

作者：Chang Shu Chiuan^*; Chen Lung Chi

来源：Physica A: Statistical Mechanics and Its Applications , 2015, 436: 547-557.

DOI：10.1016/j.physa.2015.05.083

• Domany-Kinzel model
• Directed percolation
• Random walk
• Asymptotic behavior
• Berry-Esseen theorem
• Large deviation

We consider a version of directed bond percolation on the honeycomb lattice as a brick lattice such that vertical edges are directed upward with probability y, and horizontal edges are directed rightward with probabilities x and one in alternate rows. Let tau(M, N) be the probability that there is at least one connected-directed path of occupied edges from (0, 0) to (M, N).

• 出版日期2015-10-15