Some Obstructions To Contraction Theorems On The Half-sphere - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2024

Some Obstructions To Contraction Theorems On The Half-sphere

Résumé

Caffarelli's contraction theorem states that probability measures with uniformly logconcave densities on R d can be realized as the image of a standard Gaussian measure by a globally Lipschitz transport map. We discuss some counterexamples and obstructions that prevent a similar result from holding on the half-sphere endowed with a uniform measure, answering a question of Beck and Jerison.
Fichier principal
Vignette du fichier
Caffarelli-Hall-2024.pdf (184.6 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-04441540 , version 1 (06-02-2024)

Licence

Identifiants

Citer

Max Fathi, Matthieu Fradelizi, Nathael Gozlan, Simon Zugmeyer. Some Obstructions To Contraction Theorems On The Half-sphere. 2024. ⟨hal-04441540⟩
171 Consultations
35 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More