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math.FA2024
Gradient flows of -convex functions with negative
Lorenzo Dello Schiavo, Mattia Magnabosco, Chiara Rigoni
We discuss -convexity and gradient flows for -convex functionals on metric spaces, in the case of real and negative . In this generality, it is necessary to co…
math.PR2024★ 1 cited
Massive Particle Systems, Wasserstein Brownian Motions, and the Dean-Kawasaki Equation
Lorenzo Dello Schiavo
We develop a unifying theory for four different objects: (1) infinite systems of interacting massive particles; (2) solutions to the Dean-Kawasaki equation with singular drift and…