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Showing 2004 · math.PRShow all
3 papers · 2 filters
math.PR2004★ 7 cited
Some Connections Between (Sub)Critical Branching Mechanisms and Bernstein Functions
Jean Bertoin, Bernard Roynette, Marc Yor
We describe some connections, via composition, between two functional spaces: the space of (sub)critical branching mechanisms and the space of Bernstein functions. The functions ${…
math.PR2004★ 1 cited
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…
math.PR2004★ 4 cited
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 …