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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We prove that the random flag complex has a probability regime where theprobability of nonvanishing homology is asymptotically bounded away from zeroand away from one. Related to this main result we also establish new bounds ona sharp threshold for the fundamental group of a random flag complex to be afree group. In doing so we show that there is an intermediate probabilityregime in which the random flag complex has fundamental group which is neitherfree nor has Kazhdan's property (T).

One-sided sharp thresholds for homology of random flag complexes