Scarring of quasimodes on hyperbolic manifolds

DOI10.1088/1361-6544/aa92e3zbMath1433.58027arXiv1609.04912OpenAlexW2964271050MaRDI QIDQ4600982

Suresh Eswarathasan, Lior Silberman

Publication date: 18 January 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04912

zbMATH Keywords

eigenfunction asymptoticsinvariant measuresLaplace-Beltrami operatorhyperbolic geometryquantum unique ergodicity

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) PDEs on manifolds (35R01)

Related Items (3)

Strong scarring of logarithmic quasimodes ⋮ Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets ⋮ Control of eigenfunctions on surfaces of variable curvature

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