On the scarring of eigenstates in some arithmetic hyperbolic manifolds

DOI10.1515/FORUM.2007.035zbMath1153.11026arXivmath-ph/0404066MaRDI QIDQ5426550

Tristan Poullaouec

Publication date: 13 November 2007

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0404066

Mathematics Subject Classification ID

Quantum chaos (81Q50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Density theorems (11R45) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Modular correspondences, etc. (11F32) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

• Uniform distribution of eigenfunctions on compact hyperbolic surfaces
• The behaviour of eigenstates of arithmetic hyperbolic manifolds

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