Heavy tails in last-passage percolation
We consider last-passage percolation models in two dimensions, in which the underlying weight distribution has a heavy tail of index α < 2. We prove scaling laws and asymptotic distributions, both for the passage times and for the shape of optimal paths; these are expressed in terms of a fami...
Main Authors: | , |
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Format: | Journal article |
Language: | English |
Published: |
2007
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