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

The Euler graph has vertices labelled (n,k) for n=0,1,2,... and k=0,1,...,n,with k+1 edges from (n,k) to (n+1,k) and n-k+1 edges from (n,k) to (n+1,k+1).The number of paths from (0,0) to (n,k) is the Eulerian number A(n,k), thenumber of permutations of 1,2,...,n+1 with exactly n-k falls and k rises. Weprove that the adic (Bratteli-Vershik) transformation on the space of infinitepaths in this graph is ergodic with respect to the symmetric measure.Comment: 8 pages, 8 figures, to appear Math. Proc. Camb. Phil. So

Ergodicity of the adic transformation on the Euler graph