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/

Zendy Plus

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

Zendy Tools

Zendy Open

Recently, the joint probability density functions of complex eigenvalues forproducts of independent complex Ginibre matrices have been explicitly derivedas determinantal point processes. We express truncated series coming from thecorrelation kernels as multivariate integrals with singularity and investigatesaddle point method for such a type of integrals. As an application, we provethat the eigenvalue correlation functions have the same scaling limits as thoseof the single complex Ginibre ensemble, both in the bulk and at the edge of thespectrum. We also prove that the similar results hold true for products ofindependent truncated unitary matrices.

Universality for products of random matrices I: Ginibre and truncated unitary cases