In Brochette FPP with axis-parallel shared passage times, geodesics exist under mild assumptions and the maximal deviation H_n has order determined by the passage-time law near its infimum, giving explicit wandering exponents.
First-passage percolation, subadditive processes, stochastic networks, and generalized renewal theory
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Geodesics and Wandering Exponents in Brochette First-Passage Percolation
In Brochette FPP with axis-parallel shared passage times, geodesics exist under mild assumptions and the maximal deviation H_n has order determined by the passage-time law near its infimum, giving explicit wandering exponents.