Benamou–Brenier and duality formulas for the entropic cost on $${\textsf {RCD}}^*(K,N)$$ RCD ∗ ( K , N ) spaces

A Geometric Perspective on Regularized Optimal Transport

(2018) Flavien Léger   Journal of Dynamics and Differential Equations

Second order differentiation formula on RCD$(K,N)$ spaces

(2018) Nicola Gigli et al.   Rendiconti Lincei-Matematica e Applicazioni

Kantorovich duality for general transport costs and applications

(2017) Nathael Gozlan et al.   JOURNAL OF FUNCTIONAL ANALYSIS

On the Relation Between Optimal Transport and Schrödinger Bridges: A Stochastic Control Viewpoint

(2015) Yongxin Chen et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

The continuity equation on metric measure spaces

(2014) Nicola Gigli et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Metric measure spaces with Riemannian Ricci curvature bounded from below

(2014) Luigi Ambrosio et al.   DUKE MATHEMATICAL JOURNAL

Hamilton Jacobi equations on metric spaces and transport entropy inequalities

(2014) Nathael Gozlan et al.   REVISTA MATEMATICA IBEROAMERICANA

A survey of the Schrödinger problem and some of its connections with optimal transport

(2013) Christian Léonard   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

(2013) Luigi Ambrosio et al.   INVENTIONES MATHEMATICAE

Heat Flow on Alexandrov Spaces

(2012) Nicola Gigli et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

From the Schrödinger problem to the Monge–Kantorovich problem

(2011) Christian Léonard   JOURNAL OF FUNCTIONAL ANALYSIS

Optimal Transportation Problem by Stochastic Optimal Control

(2008) Toshio Mikami et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION