After a brief introduction on gradient flows in metric spaces and on geodesically convex functionals, we give an account of the proof (following the outline of \cite{GradientFlows,HeatCompact}) of the existence and uniqueness of the gradient flow of the Entropy in the space of Borel probability measures over a compact geodesic metric space with Ricci curvature bounded from below.
Existence and uniqueness of the gradient flow of the Entropy in the space of probability measures / Bianchini, Stefano; Dabrowski, Alexander. - In: RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE. - ISSN 0049-4704. - 46:1(2014), pp. 43-70.
Existence and uniqueness of the gradient flow of the Entropy in the space of probability measures
Bianchini, Stefano;Dabrowski, Alexander
2014-01-01
Abstract
After a brief introduction on gradient flows in metric spaces and on geodesically convex functionals, we give an account of the proof (following the outline of \cite{GradientFlows,HeatCompact}) of the existence and uniqueness of the gradient flow of the Entropy in the space of Borel probability measures over a compact geodesic metric space with Ricci curvature bounded from below.| File | Dimensione | Formato | |
|---|---|---|---|
|
articoloGF_3.draft.pdf
accesso aperto
Tipologia:
Documento in Pre-print
Licenza:
Non specificato
Dimensione
306.16 kB
Formato
Adobe PDF
|
306.16 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
