Ergodicity and intersections of nodal sets and geodesics on real analytic surfaces

DOI10.4310/jdg/1393424920zbMath1303.32002arXiv1210.0834OpenAlexW1526140361WikidataQ115169013 ScholiaQ115169013MaRDI QIDQ2447218

Steven Zelditch

Publication date: 24 April 2014

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0834

zbMATH Keywords

Toeplitz operatorsquantum ergodicityergodic geodesic flow

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Related Items (7)

Quantum ergodic restriction theorems: manifolds without boundary ⋮ Algebras of pseudo-differential operators acting on holomorphic Sobolev spaces ⋮ Nodal intersections and geometric control ⋮ On the nodal lines of Eisenstein series on Schottky surfaces ⋮ Log-scale equidistribution of nodal sets in Grauert tubes ⋮ Laplace Beltrami operator in the Baran metric and pluripotential equilibrium measure: the ball, the simplex, and the sphere ⋮ Scaling asymptotics for Szegő kernels on Grauert tubes

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