Parking functions, empirical processes, and the width of rooted labeled trees.
Perturbing transient random walk in a random environment with cookies of maximal strength
We consider a left-transient random walk in a random environment on that will be disturbed by cookies inducing a drift to the right of strength 1. The number of cookies per site is i.i.d. and independent of the environment. Criteria for recurrence and transience of the random walk are obtained. For this purpose we use subcritical branching processes in random environments with immigration and formulate criteria for recurrence and transience for these processes.
Poisson point process limits in size-biased Galton-Watson trees.
Population-size-dependent branching processes.
Positively and negatively excited random walks on integers, with branching processes.
Potential-theoretical methods in the construction of measure-valued Markov branching processes
We develop potential-theoretical methods in the construction of measure-valued branching processes.We complete results of P. J. Fitzsimmons and E. B. Dynkin on the construction, regularity and other properties of the superprocess associated with a given right process and a branching mechanism.
Probabilités de présence dans un processus de branchement spatial markovien
Probability & incompressible Navier-Stokes equations: an overview of some recent developments.
Proceso estocástico de natalidad con individuos reproductores y no reproductores. Sistemas lineales de ecuaciones diferenciales y en diferencias finitas con valores iniciales aleatorios. La modificación relativista de las estadísticas cuánticas de Bose-Einstein y de Fermi-Dirac.
Processus de branchement en environnement aléatoire (P.b.e.a)
Processus de branchements dépendant de la densité, markovien en temps continu
Processus de Galton-Watson
Processus de naissance avec interaction des voisins, évolution de graphes
On définit de nouveaux processus de naissance à temps discret; la population est, à chaque instant, organisée en graphe. Pour obtenir la -ième génération on remplace aléatoirement les sommets de la -ième génération par des graphes que l’on accroche convenablement les uns aux autres. On autorise une certaine dépendance entre les substitutions de sommets voisins. On étudie, pour certains processus surcritiques, la croissance de la population et la structure des graphes générés : sous des hypothèses...
Processus de points marqués et processus ramifiés
Processus ponctuels binomiaux négatifs
Processus ponctuels stationnaires asymptotiquement gaussiens et comportement asymptotique de processus de branchement spatiaux sur-critiques
Products of Random Weights Indexed by Galton-Watson Trees
Proof(s) of the Lamperti representation of continuous-state branching processes.
Pruning Galton–Watson trees and tree-valued Markov processes
We present a new pruning procedure on discrete trees by adding marks on the nodes of trees. This procedure allows us to construct and study a tree-valued Markov process by pruning Galton–Watson trees and an analogous process by pruning a critical or subcritical Galton–Watson tree conditioned to be infinite. Under a mild condition on offspring distributions, we show that the process run until its ascension time has a representation in terms of . A similar result was obtained by Aldous and...