6 papers
Growing random planar network with oriented branching and fusion
Vincent Bansaye, Gael Raoul, Milica Tomasevic
We consider a growing planar network where a tip grows at constant speed, branches at constant rate and inactivates when it meets a branch already created. We only consider here or…
Non-Asymptotic Convergence of Discrete Diffusion Models: Masked and Random Walk dynamics
Giovanni Conforti, Alain Durmus, Le-Tuyet-Nhi Pham +1
Diffusion models for continuous state spaces based on Gaussian noising processes are now relatively well understood from both practical and theoretical perspectives. In contrast, r…
A model for a population of trees structured by phenological traits
Sirine Boucenna, Vasilis Dakos, Gaël Raoul
In the context of global warming, tree populations rely on two primary mechanisms of adaptation: phenotypic plasticity, which enables individuals to adjust their behavior in respon…
On measure-valued solutions for a structured population model with transfers
Pierre Magal, Gaël Raoul
We consider a transfer operator where two interacting cells carrying non-negative traits transfer a random fraction of their trait to each other. These transfers can lead to popula…
Macroscopic limit from a structured population model to the Kirkpatrick-Barton model
Gaël Raoul
We consider an ecology model in which the population is structured by a spatial variable and a phenotypic trait. The model combines a parabolic operator on the spatial variable wit…
Spreading speed of locally regulated population models in macroscopically heterogeneous environments
Pascal Maillard, Gaël Raoul, Julie Tourniaire
We consider a certain lattice branching random walk with on-site competition and in an environment which is heterogeneous at a macroscopic scale in space and time.…