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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We present a concentration result concerning random weighted projections inhigh dimensional spaces. As applications, we prove  (1) New concentration inequalities for random quadratic forms;  (2) The infinity norm of most unit eigenvectors of a random $\pm 1$ matrix isof order $O( \sqrt { \log n/n})$;  (3) An estimate on the threshold for the local semi-circle law which is tightup to a $\sqrt {\log n}$ factor.

Random weighted projections, random quadratic forms and random eigenvectors