Transversal fluctuations for a first passage percolation model

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

paper · doi:10.48550/arxiv.1605.05965

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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