Matrix displacement convexity along density flows

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Convexity of real functions of several variables, generalizations (26B25) Euler equations (35Q31) Mean field games and control (49N80) Mean field games (aspects of game theory) (91A16) PDEs in connection with mean field game theory (35Q89)

Cites Work

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Title not available (Why is that?)
On the relation between optimal transport and Schrödinger bridges: a stochastic control viewpoint
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Mean field games
The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation
A convexity principle for interacting gases
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About the analogy between optimal transport and minimal entropy
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Compressible fluids and active potentials
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On the geometry of metric measure spaces. I
On the geometry of metric measure spaces. II
Logarithmic Schrödinger equation and isothermal fluids
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A new entropy power inequality
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Displacement convexity for first-order mean-field games
Analysis and Geometry of Markov Diffusion Operators
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Geometric hydrodynamics and infinite-dimensional Newton’s equations
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Nonpositive curvature, the variance functional, and the Wasserstein barycenter
ON THE LOGARITHMIC SCHRÖDINGER EQUATION
Envelope Theorems for Arbitrary Choice Sets
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Intrinsic dimensional functional inequalities on model spaces
Long-time behaviour of entropic interpolations

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