The reciprocal Mahler ensembles of random polynomials

DOI10.1142/S2010326319500126zbMath1437.15051arXiv1806.02914OpenAlexW2963914328WikidataQ128999166 ScholiaQ128999166MaRDI QIDQ5108290

Christopher D. Sinclair, Maxim L. Yattselev

Publication date: 30 April 2020

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.02914

zbMATH Keywords

Mahler measurerandom polynomialsPfaffian point processuniversality classasymmetric random matrix

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Determinants, permanents, traces, other special matrix functions (15A15) Exactly solvable models; Bethe ansatz (82B23) Random matrices (algebraic aspects) (15B52) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Matrices, determinants in number theory (11C20)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Padé approximants for functions with branch points -- strong asymptotics of Nuttall-Stahl polynomials
• Universality for ensembles of matrices with potential theoretic weights on domains with smooth boundary
• Root statistics of random polynomials with bounded Mahler measure
• The Ginibre ensemble of real random matrices and its scaling limits
• The distribution of Mahler's measures of reciprocal polynomials
• NIST digital library of mathematical functions
• Factorization of certain cyclotomic functions
• The distribution of values of Mahler's measure
• Statistical Theory of the Energy Levels of Complex Systems. I
• Statistical Ensembles of Complex, Quaternion, and Real Matrices
• The range of multiplicative functions on ℂ[x , ℝ[x ] and ℤ[x ]]
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer

This page was built for publication: The reciprocal Mahler ensembles of random polynomials