88 citations · 114 across the 11 of their papers we have counts for
11 papers
Pascal's formulas and vector fields
Philippe Chassaing, Jules Flin, Alexis Zevio
We consider four examples of combinatorial triangles (Pascal, Stirling of both types, Euler) : through saddle-point asymptotics, their \emph{Pas…
The impatient collector
Anis Amri, Philippe Chassaing
In the coupon collector problem with items, the collector needs a random number of tries to complete the collection. Also, after tries, the collector ha…
A non-ergodic probabilistic cellular automaton with a unique invariant measure
Philippe Chassaing, Jean Mairesse
We exhibit a Probabilistic Cellular Automaton (PCA) on the integers with an alphabet and a neighborhood of size 2 which is non-ergodic although it has a unique invariant measure. T…
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…
On the Convergence of Population Protocols When Population Goes to Infinity
Olivier Bournez, Philippe Chassaing, Johanne Cohen +2
Population protocols have been introduced as a model of sensor networks consisting of very limited mobile agents with no control over their own movement. A population protocol corr…
Efficient estimation of the cardinality of large data sets
Philippe Chassaing, Lucas Gerin
F.Giroire has recently proposed an algorithm which returns the approximate number of distincts elements in a large sequence of words, under strong constraints coming from the analy…