Quantum Ergodicity and Mixing

Abstract

This is an expository article for the Encyclopedia of Mathematical Physics on the subject in the title.

References in corpus (9)

• Distribution of zeros of random and quantum chaotic sections of positive line bundles
• Scarred eigenstates for quantum cat maps of minimal periods
• Quantum Chaotic Dynamics and Random Polynomials
• Spectral Statistics: From Disordered to Chaotic Systems
• On the rate of quantum ergodicity in Euclidean billiards
• Measuring Scars of Periodic Orbits
• Weak Quantum Ergodicity
• Quantum ergodicity of boundary values of eigenfunctions: A control theory approach
• Asymptotic rate of quantum ergodicity in chaotic Euclidean billiards

Cited by in corpus (2)

• Bounds on supremum norms for Hecke eigenfunctions of quantized cat maps
• Boundary quasi-orthogonality and sharp inclusion bounds for large Dirichlet eigenvalues