Quantitative mean-field limit for interacting branching diffusions

DOI10.1214/22-EJP874zbMath1505.92153arXiv2101.04099OpenAlexW3204315640MaRDI QIDQ2105163

Felipe Muñoz-Hernández, Joaquin Fontbona

Publication date: 8 December 2022

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.04099

zbMATH Keywords

rate of convergencepopulation dynamicsmean-field limitoptimal transportbranching diffusions

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Applications of branching processes (60J85) Population dynamics (general) (92D25) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantitative propagation of chaos for generalized Kac particle systems
• On the rate of convergence in Wasserstein distance of the empirical measure
• Nonlinear degenerate cross-diffusion systems with nonlocal interaction
• Global existence analysis of cross-diffusion population systems for multiple species
• Quantitative uniform propagation of chaos for Maxwell molecules
• A microscopic probabilistic description of a locally regulated population and macroscopic approximations
• Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems
• Non local Lotka-Volterra system with cross-diffusion in an heterogeneous medium
• Rigorous mean-field limit and cross-diffusion
• Measure solutions for non-local interaction PDEs with two species
• Zoology of a Nonlocal Cross-Diffusion Model for Two Species
• Stochastic Models for Structured Populations
• Optimal Transport

This page was built for publication: Quantitative mean-field limit for interacting branching diffusions