Semiclassical measures for higher-dimensional quantum cat maps
From MaRDI portal
Publication:6119781
DOI10.1007/s00023-023-01309-xarXiv2108.10463MaRDI QIDQ6119781
Publication date: 20 February 2024
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.10463
Partial differential equations on manifolds; differential operators (58Jxx) Dynamical systems with hyperbolic behavior (37Dxx) General mathematical topics and methods in quantum theory (81Qxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral gaps, additive energy, and a fractal uncertainty principle
- A Haar component for quantum limits on locally symmetric spaces
- Joint quasimodes, positive entropy, and quantum unique ergodicity
- Entropy of semiclassical measures in dimension 2
- Entropic bounds on semiclassical measures for quantized one-dimensional maps
- Entropy of semiclassical measures for nonpositively curved surfaces
- On the generators of \(\text{Sp}_ n(\mathbb{Z})\)
- Entropy of semiclassical measures of the Walsh-quantized Baker's map
- Arithmetic quantum unique ergodicity for symplectic linear maps of the multidimensional torus
- On the entropy of quantum limits for 2-dimensional cat maps
- Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating
- Uniform distribution of eigenfunctions on compact hyperbolic surfaces
- The behaviour of eigenstates of arithmetic hyperbolic manifolds
- Quantum monodromy and semi-classical trace formulæ.
- Scarred eigenstates for quantum cat maps of minimal periods
- On the maximal scarring for quantum cat map eigenstates
- Hecke theory and equidistribution for the quantization of linear maps of the torus
- Semiclassical measures on hyperbolic surfaces have full support
- Spectral gaps without the pressure condition
- Equipartition of the eigenfunctions of quantized ergodic maps on the torus
- Around quantum ergodicity
- A higher-dimensional Bourgain-Dyatlov fractal uncertainty principle
- Damped wave equations on compact hyperbolic surfaces
- Entropy and the localization of eigenfunctions
- Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold
- Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms
- Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
- Entropy of Semiclassical Measures for Symplectic Linear Maps of the Multidimensional Torus
- Recent progress on the quantum unique ergodicity conjecture
- Entropy of Eigenfunctions
- Semiclassical quantization of multidimensional systems
- An introduction to fractal uncertainty principle
- Anatomy of Quantum Chaotic Eigenstates
- Control of eigenfunctions on surfaces of variable curvature
- Proof of the Kurlberg-Rudnick rate conjecture
This page was built for publication: Semiclassical measures for higher-dimensional quantum cat maps