Spectral statistics on Zoll surfaces

DOI10.1007/BF02097000zbMath0791.58102MaRDI QIDQ2367964

Alejandro Uribe, Steven Zelditch

Publication date: 31 July 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

geodesic flowspectral asymptoticsspectral invariantscharacteristic flowZoll sphere

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Dynamics induced by flows and semiflows (37C10) Ergodic theorems, spectral theory, Markov operators (37A30) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (9)

Unnamed Item ⋮ Concentration and non-concentration for the Schrödinger evolution on Zoll manifolds ⋮ Unexpected spectral asymptotics for wave equations on certain compact spacetimes ⋮ Index and dynamics of quantized contact transformations ⋮ Nonselfadjoint Perturbations of Selfadjoint Operators in Two Dimensions II. Vanishing Averages ⋮ Spectral theta series of operators with periodic bicharacteristic flow ⋮ High-Frequency Dynamics for the Schrödinger Equation, with Applications to Dispersion and Observability ⋮ Another way to look at spectral asymptotics on spheres ⋮ A semi-classical trace formula for several commuting operators

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