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 study the empirical spectral distribution (ESD) of symmetric randommatrices with ergodic entries on the diagonals. We observe that for entrieswith correlations that decay to 0, when the distance of the diagonal entriesbecomes large the limiting ESD is the well known semicircle law. If it does notdecay to 0 (and have the same sign) the semicircle law cannot be the limit ofthe ESD. This is good agreement with results on exchangeable processes analysedin Friesen and L\"owe (2013a) and Hochst\"attler et al. (2016).

The semicircle law for matrices with ergodic entries