Asymptotics for first-passage times on Delaunay triangulations

Details Asymptotics for first-passage times on Delaunay triangulations Asymptotics for first-passage times on Delaunay triangulations

2005-10-27

arxiv.org/abs/math/0510605v2

Combinatorics, Probability and Computing (2011) 20, 435--453

Mathematics

Probability

28 pages, 3 figures

Scientific paper

10.1017/S0963548310000477

In this paper we study first-passge percolation models on Delaunay
triangulations. We show a sufficient condition to ensure that the asymptotic
value of the rescaled first-passage time, called the time constant, is strictly
positive and derive some upper bounds for fluctuations. Our proofs are based on
renormalization ideas and on the method of bounded increments.

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