Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in $RCD (K, \infty)$ metric measure spaces

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

Equivalent semigroup properties for the curvature-dimension condition

(2011) Feng-Yu Wang   BULLETIN DES SCIENCES MATHEMATIQUES

The heat equation on manifolds as a gradient flow in the Wasserstein space

(2010) Matthias Erbar   ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES

Contraction of general transportation costs along solutions to Fokker–Planck equations with monotone drifts

(2010) Luca Natile et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Duality on gradient estimates and Wasserstein controls

(2010) Kazumasa Kuwada   JOURNAL OF FUNCTIONAL ANALYSIS

Ricci curvature for metric-measure spaces via optimal transport

(2009) John Lott et al.   ANNALS OF MATHEMATICS

On the heat flow on metric measure spaces: existence, uniqueness and stability

(2009) Nicola Gigli   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Heat flow on Finsler manifolds

(2009) Shin-ichi Ohta et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Existence and stability for Fokker–Planck equations with log-concave reference measure

(2008) Luigi Ambrosio et al.   PROBABILITY THEORY AND RELATED FIELDS