2 papers
math.ST2025
On a retarded stochastic system with discrete diffusion modeling life tables
Tomás Caraballo, Francisco Morillas, José Valero
This work proposes a method for modeling and forecasting mortality rates. It constitutes an improvement over previous studies by incorporating both the historical evolution of the…
math.DS2025
Dynamics and Wong-Zakai approximations of stochastic nonlocal PDEs with long time memory
Jiaohui Xu, Tomás Caraballo, José Valero
In this paper, a combination of Galerkin's method and Dafermos' transformation is first used to prove the existence and uniqueness of solutions for a class of stochastic nonlocal P…