22 citations · 39 across the 10 of their papers we have counts for
11 papers
Sharpness of the avalanche phase transition in the Bak--Sneppen model
Olivier Hénard
We prove sharpness of the avalanche phase transition in the one-dimensional Bak--Sneppen model, for both the one-sided and isotropic update rules. In the one-sided model, the avala…
Decompositions of CSBPs via Poissonian Intertwining
Clément Foucart, Olivier Hénard
We revisit certain decompositions of continuous-state branching processes (CSBPs), commonly referred to as skeletal decompositions, through the lens of intertwining of semi-groups.…
On cases where Litt's game is fair
Anne-Laure Basdevant, Olivier Hénard, Edouard Maurel-Segala +1
A fair coin is flipped times, and two finite sequences of heads and tails (words) and of the same length are given. Each time the word appears in the sequence of co…
A periodic Kingman model for the balance between mutation and selection
Camille Coron, Olivier Hénard
We consider a periodic extension of the classical Kingman non-linear model (Kingman, 1978) for the balance between selection and mutation in a large population. In the original mod…
The local limit of rooted directed animals on the square lattice
Olivier Hénard, Édouard Maurel-Segala, Arvind Singh
We consider the local limit of finite uniformly distributed directed animals on the square lattice viewed from the root. Two constructions of the resulting uniform infinite directe…
The phase transition for parking on Galton--Watson trees
Nicolas Curien, Olivier Hénard
We establish a phase transition for the parking process on critical Galton--Watson trees. In this model, a random number of cars with mean and variance arrive independe…
On trees invariant under edge contraction
Olivier Hénard, Pascal Maillard
We study random trees which are invariant in law under the operation of contracting each edge independently with probability . We show that all such trees can be constru…
The fixation line in the -coalescent
Olivier Hénard
We define a Markov process in a forward population model with backward genealogy given by the -coalescent. This Markov process, called the fixation line, is related to the block…
Change of measure in the lookdown particle system
Olivier Hénard
We perform various changes of measure in the lookdown particle system of Donnelly and Kurtz. The first example is a product type h-transform related to conditioning a Generalized F…
Stable continuous branching processes with immigration and Beta-Fleming-Viot processes with immigration
Clément Foucart, Olivier Hénard
Branching processes and Fleming-Viot processes are two main models in stochastic population theory. Incorporating an immigration in both models, we generalize the results of Shiga…
A Williams' Decomposition for Spatially Dependent Superprocesses
Jean-Francois Delmas, Olivier Hénard
We present a genealogy for superprocesses with a non-homogeneous quadratic branching mechanism, relying on a weighted version of the superprocess and a Girsanov theorem. We then de…