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math.PR2026
Quantitative weak propagation of chaos for McKean--Vlasov branching diffusion processes
Wenjing Cao, Zhenjie Ren, Xiaolu Tan
We study in this paper the weak propagation of chaos for McKean--Vlasov diffusions with branching, whose induced marginal measures are nonnegative finite measures but not necessary…
math.PR2025★ 2 cited
Uniform-in-time propagation of chaos for mean field Langevin dynamics
Fan Chen, Zhenjie Ren, Songbo Wang
We study the mean field Langevin dynamics and the associated particle system. By assuming the functional convexity of the energy, we obtain the -convergence of the marginal di…
math.PR2024
Uniform-in-time propagation of chaos for kinetic mean field Langevin dynamics
Fan Chen, Yiqing Lin, Zhenjie Ren +1
We study the kinetic mean field Langevin dynamics under the functional convexity assumption of the mean field energy functional. Using hypocoercivity, we first establish the expone…