3 papers
math.PR2026
Comparison of viscosity solutions for a class of non-linear PDEs on the space of finite nonnegative measures
Ibrahim Ekren, Xihao He, Tianxu Lan +1
We establish a comparison principle for viscosity solutions of a class of nonlinear partial differential equations posed on the space of nonnegative finite measures, thereby extend…
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.OC2025
Optimal Control of McKean--Vlasov Branching Diffusion Processes
Julien Claisse, Jiazhi Kang, Tianxu Lan +1
We study an optimal control problem of McKean--Vlasov branching diffusion processes, in which the interaction term is determined by the marginal measure induced by all alive partic…