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

Tropical friezes are the tropical analogs of Coxeter–Conway frieze patterns. In this note, we study them using triangulated categories. A tropical frieze on a 2-Calabi–Yau triangulated categoryis a function satisfying a certain addition formula. We show that whenis the cluster category of a Dynkin quiver, the tropical friezes onare in bijection with the  n -tuples in, any tropical frieze  f  onis of a special form, and there exists a cluster-tilting object such that  f  simultaneously takes nonnegative values or nonpositive values on all its indecomposable direct summands. Using similar techniques, we give a proof of a conjecture of Ringel for cluster-additive functions on stable translation quivers.

On Tropical Friezes Associated with Dynkin Diagrams