Limiting distribution of last passage percolation models
نویسنده
چکیده
We survey some results and applications of last percolation models of which the limiting distribution can be evaluated.
منابع مشابه
Limiting Shape for Directed Percolation Models
We consider directed first-passage and last-passage percolation on the non-negative lattice Zd+, d ≥ 2, with i.i.d. weights at the vertices. Under certain moment conditions on the common distribution of the weights, the limits g(x) = limn→∞ n T (⌊nx⌋) exist and are constant a.s. for x ∈ Rd+, where T (z) is the passage time from the origin to the vertex z ∈ Zd+. We show that this shape function ...
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