Add to ORKGInternational audienceWe consider a marking procedure of the vertices of a tree where each vertex is marked independently from the others with a probability that depends only on its out-degree. We prove that a critical Galton-Watson tree conditioned on having a large number of marked vertices converges in distribution to the associated size-biased tree. We then apply this result to give the limit in distribution of a critical Galton-Watson tree conditioned on having a large number of protected nodes
We discuss various forms of convergence of the vicinity of a uniformly at random selected vertex in ...
International audienceUnder minimal condition, we prove the local convergence of a critical multi-ty...
We study the maximal degree of (sub)critical Lévy trees which arise as the scaling limits of Bienaym...
International audienceWe consider a marking procedure of the vertices of a tree where each vertex is...
Abstract. We give a necessary and sufficient condition for the convergence in distribution of a cond...
Abstract. We provide a complete picture of the local convergence of critical or subcritical Galton-W...
Let τn be a random tree distributed as a Galton-Watson tree with geometric offspring distribution co...
Lecture given in Hammamet, December 2014.The main object of this course given in Hammamet (December ...
Let τn be a random tree distributed as a Galton-Watson tree with geometric offspring distribution co...
We study the local limit in distribution of Bienaymé-Galton-Watson trees conditioned on having large...
We investigate scaling limits of several types of random trees. The study of scaling limits of rand...
International audienceWe give a necessary and sufficient condition for the convergence in distributi...
We prove limit theorems describing the asymptotic behaviour of a typical vertex in random simply gen...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.Includes bibliogr...
International audienceWe give a unified treatment of the limit, as the size tends to infinity, of ra...
We discuss various forms of convergence of the vicinity of a uniformly at random selected vertex in ...
International audienceUnder minimal condition, we prove the local convergence of a critical multi-ty...
We study the maximal degree of (sub)critical Lévy trees which arise as the scaling limits of Bienaym...
International audienceWe consider a marking procedure of the vertices of a tree where each vertex is...
Abstract. We give a necessary and sufficient condition for the convergence in distribution of a cond...
Abstract. We provide a complete picture of the local convergence of critical or subcritical Galton-W...
Let τn be a random tree distributed as a Galton-Watson tree with geometric offspring distribution co...
Lecture given in Hammamet, December 2014.The main object of this course given in Hammamet (December ...
Let τn be a random tree distributed as a Galton-Watson tree with geometric offspring distribution co...
We study the local limit in distribution of Bienaymé-Galton-Watson trees conditioned on having large...
We investigate scaling limits of several types of random trees. The study of scaling limits of rand...
International audienceWe give a necessary and sufficient condition for the convergence in distributi...
We prove limit theorems describing the asymptotic behaviour of a typical vertex in random simply gen...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.Includes bibliogr...
International audienceWe give a unified treatment of the limit, as the size tends to infinity, of ra...
We discuss various forms of convergence of the vicinity of a uniformly at random selected vertex in ...
International audienceUnder minimal condition, we prove the local convergence of a critical multi-ty...
We study the maximal degree of (sub)critical Lévy trees which arise as the scaling limits of Bienaym...