A Shape Theorem for Riemannian First-passage Percolation

نویسنده

  • T. LAGATTA
چکیده

Riemannian first-passage percolation (FPP) is a continuum analogue of standard FPP on the lattice, where the discrete passage times of standard FPP are replaced by a random Riemannian metric. We prove a shape theorem for this model— that balls in this metric grow linearly in time—and from this conclude that the metric is complete.

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تاریخ انتشار 2009