Details

Autor(en) / Beteiligte

• Kopfer, Eva

Titel

Super-Ricci flows and improved gradient and transport estimates

Ist Teil von

• Probability theory and related fields, 2019-12, Vol.175 (3-4), p.897-936

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2019

Link zum Volltext

Quelle

EBSCOhost Business Source Ultimate

Beschreibungen/Notizen

• We introduce Brownian motions on time-dependent metric measure spaces, proving their existence and uniqueness. We prove contraction estimates for their trajectories assuming that the time-dependent heat flow satisfies transport estimates with respect to every L p -Kantorovich distance, p ∈ [ 1 , ∞ ] . These transport estimates turn out to characterize super-Ricci flows, introduced by Sturm (J Funct Anal 275(12):3504–3569, 2015 .)