2 citations · 3 across the 14 of their papers we have counts for
22 papers
Elephants explore in spirals sometimes
Lucile Laulin, Bastien Mallein
We consider in this article an Elephant Random Walk evolving in the plane. Specifically, this is a reinforced stochastic process in which the th step is given by a random rotati…
Selection of the fittest or selection of the luckiest: the emergence of Goodhart's law in evolution
Bastien Mallein, Francesco Paparella, Emmanuel Schertzer +1
Biological evolution depends on the passing down to subsequent generations of genetic information encoding beneficial traits, and on the removal of unfit individuals by a selection…
Reinforced Galton--Watson processes III: Empirical offspring distributions
Jean Bertoin, Bastien Mallein
Reinforced Galton--Watson processes describe the dynamics of a population where reproduction events are reinforced, in the sense that offspring numbers of forebears can be repeated…
The Derrida-Retaux model on a geometric Galton-Watson tree
Gerold Alsmeyer, Yueyun Hu, Bastien Mallein
We consider a generalized Derrida-Retaux model on a Galton-Watson tree with a geometric offspring distribution. For a class of recursive systems, including the Derrida-Retaux model…
The longest branches in a non-Markovian phylogenetic tree
Sergey Bocharov, Simon C. Harris, Bastien Mallein
Consider a Bellman--Harris-type branching process, in which individuals evolve independently of one another, giving birth after a random time to a random number of children…
The Yaglom limit for branching Brownian motion with absorption and slightly subcritical drift
Julien Berestycki, Jiaqi Liu, Bastien Mallein +1
Consider branching Brownian motion with absorption in which particles move independently as one-dimensional Brownian motions with drift , each particle splits into two particle…