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Positions of the ranks of factors in certain finite long length words
Elahe Zohoorian Azad
We consider the set of finite random words , with independent letters drawn from a finite or infinite totally ordered alphabet according to a general probability…
Asymptotic Analysis of a Drop-Push Model For Percolation
Elahe Zohoorian Azad
In this article, we study a type of a one dimensional percolation model whose basic features include a sequential dropping of particles on a substrate followed by their transport v…
Asymptotic cost of cutting down random free trees
Elahe Zohoorian Azad
The limit distribution of the total cost incurred by splitting a tree uniformly distributed on the set of all finite free trees, appears as an additive functional induced by a toll…
Asymptotic behavior of some factorizations of random words
Elahe Zohoorian Azad, Philippe Chassaing
In this paper we consider the normalized lengths of the factors of some factorizations of random words. First, for the \emph{Lyndon factorization} of finite random words with i…
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…