On the asymptotic distribution of singular values of powers of random matrices

DOI10.1007/s10958-014-1834-yzbMath1309.15051arXiv1012.2743OpenAlexW2762882105MaRDI QIDQ2253968

N. V. Alexeev, Alexander Tikhomirov, Friedrich Götze

Publication date: 16 February 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2743

zbMATH Keywords

random matricessingular valuesFuss-Catalan numberspowers of random matrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)

Cites Work

• Unnamed Item
• On the singular spectrum of powers and products of random matrices
• Asymptotic distribution of singular values of powers of random matrices
• Sharp bounds for sums associated to graphs of matrices
• Spectral analysis of large dimensional random matrices
• On the powers of Voiculescu's circular element
• Spectral theory of random matrices