62 citations · 261 across the 37 of their papers we have counts for
6 papers · 1 filter
Random walk with heavy tail and negative drift conditioned by its minimum and final values
Vincent Bansaye, Vladimir Vatutin
We consider random walks with finite second moment which drifts to and have heavy tail. We focus on the events when the minimum and the final value of this walk belong to…
How do birth and death processes come down from infinity?
Vincent Bansaye, Sylvie Méléard, Mathieu Richard
We finely describe the "coming down from infinity" for birth and death processes which eventually become extinct. Our biological motivation is to study the decrease of regulated po…
Ancestral lineages and limit theorems for branching Markov chains
Vincent Bansaye
We consider a branching model in discrete time where each individual has a trait in some general state space. Both the reproduction law and the trait inherited by the offsprings ma…
On the survival of a class of subcritical branching processes in random environment
Vincent Bansaye, Vladimir Vatutin
Let be the number of individuals in a subcritical BPRE evolving in the environment generated by iid probability distributions. Let be the logarithm of the expected offs…
Weak law of large numbers for some Markov chains along non homogeneous genealogies
Vincent Bansaye, Chunmao Huang
We consider a population with non-overlapping generations, whose size goes to infinity. It is described by a discrete genealogy which may be time non-homogeneous and we pay special…
On the extinction of Continuous State Branching Processes with catastrophes
Vincent Bansaye, Juan Carlos Pardo Millan, Charline Smadi
We consider continuous state branching processes (CSBP) with additional multiplicative jumps modeling dramatic events in a random environment. These jumps are described by a Lévy p…