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Showing 2003 · math.PRShow all
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math.PR2003★ 88 cited
Local limit of labeled trees and expected volume growth in a random quadrangulation
Philippe Chassaing, Bergfinnur Durhuus
Exploiting a bijective correspondence between planar quadrangulations and well-labeled trees, we define an ensemble of infinite surfaces as a limit of uniformly distributed ensembl…
math.PR2003
The center of mass of the ISE and the Wiener index of trees
Svante Janson, Philippe Chassaing
We derive the distribution of the center of mass of the integrated superBrownian excursion (ISE) {from} the asymptotic distribution of the Wiener index for simple trees. Equiva…
math.PR2003★ 5 cited
Asymptotic shape for the chemical distance and first-passage percolation in random environment
Olivier Garet, Regine Marchand
The aim of this paper is to generalize the well-known asymptotic shape result for first-passage percolation on $\Zd$ to first-passage percolation on a random environment given by t…