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arxiv: math/0703492 · v1 · submitted 2007-03-16 · 🧮 math.PR · math-ph· math.MP

On some special directed last-passage percolation models

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keywords casesdirectedextendedlast-passagemodelsprocessesairycertain
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We investigate extended processes given by last-passage times in directed models defined using exponential variables with decaying mean. In certain cases we find the universal Airy process, but other cases lead to non-universal and trivial extended processes.

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