2 papers
math.FA2026
The first Fundamental Theorem of Calculus for functions defined on Wasserstein space
Xavier Erny
We establish an analogue of the first fundamental theorem of calculus for functions defined on the Wasserstein space of probability measures. Precisely, we show that if a function…
math.PR2025
Generators of measure-valued jump diffusions and convergence rate of diffusive mean-field models
Xavier Erny
The paper has two objectives: proving that the rate of convergence in distribution for mean-field models in CLT regime is , and obtaining explicit expressions for the inf…