Random coalescing geodesics in first-passage percolation

arXiv: Probability, 2016.

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Abstract:

We continue the study of infinite geodesics in planar first-passage percolation, pioneered by Newman in the mid 1990s. Building on more recent work of Hoffman, and Damron and Hanson, we develop an ergodic theory for infinite geodesics via the study of what we shall call `random coalescing geodesicsu0027. Random coalescing geodesics have a...More

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