Infinite ascension limit: horocyclic chaos

DOI10.1016/j.geomphys.2020.104053OpenAlexW3110972433MaRDI QIDQ2223766

Mikhail Dubashinskiy

Publication date: 1 February 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01388

zbMATH Keywords

quantum unique ergodicityraising and lowering operatorssingularity propagation

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Forms of half-integer weight; nonholomorphic modular forms (11F37) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Uses Software

• SageMath
• mpmath

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ergodicity and eigenfunctions of the Laplacian
• Uniform distribution of eigenfunctions on compact hyperbolic surfaces
• On a ``Quantum Chaos theorem of R. Schrader and M. Taylor
• Unique ergodicity of the horocycle flow: variable negative curvature case
• The behaviour of eigenstates of arithmetic hyperbolic manifolds
• Semiclassical measures on hyperbolic surfaces have full support
• Entropy and the localization of eigenfunctions
• Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold
• Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
• Fourier coefficients of the resolvent for a Fuchsian group.
• The Confluent Hypergeometric Function

This page was built for publication: Infinite ascension limit: horocyclic chaos