Extreme paths in oriented two-dimensional percolation
نویسندگان
چکیده
A useful result about leftmost and rightmost paths in two dimensional bond percolation is proved. This result was introduced without proof in [5] in the context of the contact process in continuous time. As discussed here, it also holds for several related models, including the discrete time contact process and two dimensional site percolation. Among the consequences are a natural monotonicity in the probability of percolation between di↵erent sites and a somewhat counter-intuitive correlation inequality.
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عنوان ژورنال:
- J. Applied Probability
دوره 53 شماره
صفحات -
تاریخ انتشار 2016