Abstract:Recently, many results have been established drawing a parallel between Bernoulli percolation and models given by levels of smooth Gaussian fields with unbounded, strongly decaying correlation (see e.g [2], [12], [10]). In a previous work with D. Gayet [5], we started to extend these analogies by adapting the first basic results of classical first passage percolation (first established in [8], [4]) in this new framework: positivity of the time constant and the ball-shape theorem. In the present paper, we prese… Show more
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