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Asymptotics for first-passage times on Delaunay triangulations

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 نشر من قبل Leandro Pimentel Pinto Rodrigues
 تاريخ النشر 2005
  مجال البحث
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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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