Hearing random matrices and random waves

DOI10.1088/1367-2630/15/1/013026zbMath1451.81245OpenAlexW1987156263MaRDI QIDQ5141407

Pragya Shukla, M. V. Berry

Publication date: 18 December 2020

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1367-2630/15/1/013026

Mathematics Subject Classification ID

Quantum chaos (81Q50) Random matrices (algebraic aspects) (15B52)

Uses Software

• Wolfram Demonstrations

Cites Work

• How to generate random matrices from the classical compact groups
• Hearing the music of the primes: auditory complementarity and the siren song of zeta
• Random matrix theory
• Tuck's incompressibility function: statistics for zeta zeros and eigenvalues
• Semiclassical formula for the number variance of the Riemann zeros
• The Riemann Zeros and Eigenvalue Asymptotics
• Unusual properties of superoscillating particles
• Natural superoscillations in monochromatic waves inDdimensions
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