5 citations · 10 across the 4 of their papers we have counts for
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Limit law of the standard right factor of a random Lyndon word
Regine Marchand, Elahe Zohoorian Azad
Consider the set of finite words on a totally ordered alphabet with letters. We prove that the distribution of the length of the standard right factor of a random Lyndon word w…
Merging costs for the additive Marcus-Lushnikov process, and Union-Find algorithms
Philippe Chassaing, Regine Marchand
Starting with a monodisperse configuration with size-1 particles, an additive Marcus-Lushnikov process evolves until it reaches its final state (a unique particle with mass …
Coexistence in two-type first-passage percolation models
Olivier Garet, Regine Marchand
We study the problem of coexistence in a two-type competition model governed by first-passage percolation on $\Zd$ or on the infinite cluster in Bernoulli percolation. Actually, we…
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…