English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We propose a generalized curvature that is motivated by the optimal transportproblem on $\mathbb{R}^d$ with cost induced by a Tonelli Lagrangian $L$. Weshow that non-negativity of the generalized curvature implies displacementconvexity of the generalized entropy functional on the $L-$Wasserstein spacealong $C^2$ displacement interpolants.

Generalized curvature for the optimal transport problem induced by a Tonelli Lagrangian