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math.AP2026
Continuity equation on metric spaces via measure-valued derivations and BV-Wasserstein curves
Ehsan Abedi, Zhenhao Li, Timo Schultz
We introduce a notion of continuity equation on metric spaces that is capable of describing curves of probability measures which are absolutely continuous, and more generally of bo…
math.PR2026
Non-uniqueness of nonlinear Markov processes in the sense of McKean associated with parabolic PDEs
Ehsan Abedi, Florian Bechtold, Marco Rehmeier
We derive a general scheme to construct infinitely many probabilistic counterparts for solutions to nonlinear PDEs by recasting the latter as different nonlinear Fokker--Planck equ…