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

Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm

(2012) Tapio Rajala   JOURNAL OF FUNCTIONAL ANALYSIS

Local Poincaré inequalities from stable curvature conditions on metric spaces

(2011) Tapio Rajala   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

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

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

Finsler interpolation inequalities

(2009) Shin-ichi Ohta   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Heat flow on Finsler manifolds

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

Wasserstein space over the Wiener space

(2009) Shizan Fang et al.   PROBABILITY THEORY AND RELATED FIELDS

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

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