Almost all eigenfunctions of a rational polygon are uniformly distributed
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Publication:414728
DOI10.4171/JST/23zbMath1242.37027arXiv1111.3583OpenAlexW2964068828MaRDI QIDQ414728
Publication date: 11 May 2012
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.3583
Quantum chaos (81Q50) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)
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Cites Work
- Statistics of wave functions for a point scatterer on the torus
- Ergodic billiards that are not quantum unique ergodic (with an appendix by Andrew Hassell and Luc Hillairet)
- Pseudointegrable systems in classical and quantum mechanics
- Ergodicity of billiard flows and quadratic differentials
- Polygonal billiards: correspondence between classical trajectories and quantum eigenstates
- Quantum limits on flat tori
- Ergodicity of eigenfunctions for ergodic billiards
- Quantum ergodicity of \(C^*\) dynamical systems
- Multiplicities of periodic orbit lengths for non-arithmetic models
- Eigenfunction Concentration for Polygonal Billiards
