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math.AP2026
Analysis on spaces of measures
Charles Bertucci
This work presents analytical tools for studying functions defined on spaces of measures, together with two applications: mean field game master equations and first order Hamilton-…
math.AP2026
Non-linear Stegall's lemma and general Hamilton-Jacobi-Bellman equations on Wasserstein spaces
Charles Bertucci, Pierre-Louis Lions
We present a comparison principle for unbounded viscosity solutions to Hamilton-Jacobi equations on Wasserstein spaces of probability measures over . In addition to the use o…