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/

Zendy Plus

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

Zendy Tools

Zendy Open

We investigate the convexity problem for the Parisi functional defined on thespace of the so-called functional ordered parameters in theSherrington-Kirkpatrick model. In the recent work of Panchenko [3], he provedthat this functional is convex along one-sided directions with a probabilisticmethod. In this paper, we will study this problem with a PDE approach thatsimplifies his original proof and presents more general results.

Partial results on the convexity of the Parisi functional with PDE approach