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

Let m be a probability measure supported on some infinite and compact set Kin the complex plane and let p_n(z) be the corresponding degree n orthonormalpolynomial with positive leading coefficient. Let v_n be the normalized zerocounting measure for the polynomial p_n and let u_n be the probability measuregiven by (n+1)u_n=K_n(z,z)m, where K_n(z,w) is the reproducing kernel forpolynomials of degree at most n. If m is supported on a compact subset of thereal line or the unit circle, we provide a new proof of a 2009 theorem due toSimon, that for any fixed natural number k, the k^{th} moment of u_n andv_{n+1} differ by at most O(1/n) as n tends to infinity.

Weak Convergence of CD Kernels: A New Approach on the Circle and Real Line