82 citations · 148 across the 15 of their papers we have counts for
4 papers · 1 filter
Mean field limit of non-exchangeable interacting diffusions on co-evolutionary networks
Julián Cabrera-Nyst, David Poyato
Systems in which the network structure and particle states co-evolve in mutual influence are increasingly recognized as essential for modeling complex adaptive systems. However, tr…
Uniform contractivity of the Fisher infinitesimal model with strongly convex selection
Vincent Calvez, David Poyato, Filippo Santambrogio
The Fisher infinitesimal model is a classical model of phenotypic trait inheritance in quantitative genetics. Here, we prove that it encompasses a remarkable convexity structure wh…
Mean-field limit of non-exchangeable systems
Pierre-Emmanuel Jabin, David Poyato, Juan Soler
This paper deals with the derivation of the mean-field limit for multi-agent systems on a large class of sparse graphs. More specifically, the case of non-exchangeable multi-agent…
Ergodicity of the Fisher infinitesimal model with quadratic selection
Vincent Calvez, Thomas Lepoutre, David Poyato
We study the convergence towards a unique equilibrium distribution of the solutions to a time-discrete model with non-overlapping generations arising in quantitative genetics. The…