4 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…