Transversal fluctuations for a first passage percolation model

2016/05/19 by Yuri Bakhtin, Wei Wu, Bakhtin, Yuri +1
Mathematics · #60G55 #60K35 #82B44 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60G55 #msc:60K35 #msc:82B44

paper · pdf · doi:10.48550/arxiv.1605.05965

arxiv created 2016/05/19 · arxiv updated 2016/05/20

Abstract

We introduce a new first passage percolation model in a Poissonian environment on ℝ². In this model, the action of a path depends on the geometry of the path and the travel time. We prove that the transversal fluctuation exponent for point-to-line action minimizers is at least 3/5.

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