Zobrazeno 1 - 10 of 161 pro vyhledávání: '"Steve Zelditch"'
2
Semi-classical mass asymptotics on stationary spacetimes
Autor: Steve Zelditch, Alexander Strohmaier
Publikováno v: Indagationes Mathematicae. 32:323-363
We study the spectrum $\{\lambda_j(m)\}_{j=1}^{\infty}$ of a timelike Killing vector field $Z$ acting as a differential operator $D_Z$ on the Hilbert space of solutions of the massive Klein-Gordon equation $(\Box_g + m^2) u = 0$ on a globally hyperbo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ec92904ad43c286d8a8558cd27a6eb6
https://doi.org/10.1016/j.indag.2020.08.010
Zobrazit plný text záznamu
4
Boundedness of the number of nodal domains for eigenfunctions of generic Kaluza–Klein 3-folds
Autor: Junehyuk Jung, Steve Zelditch
Publikováno v: Annales de l'Institut Fourier. 70:971-1027
This article concerns the number of nodal domains of eigenfunctions of the Laplacian on special Riemannian $3$-manifolds, namely nontrivial principal $S^1$ bundles $P \to X$ over Riemann surfaces equipped with certain $S^1$ invariant metrics, the Kal
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5dbca8c47da0984c9d4c9e722a574c9a
https://doi.org/10.5802/aif.3329
Zobrazit plný text záznamu
5
Scaling asymptotics of spectral Wigner functions
Autor: Boris Hanin, Steve Zelditch
We prove that smooth Wigner–Weyl spectral sums at an energy level E exhibit Airy scaling asymptotics across the classical energy surface Σ E . This was proved earlier by the authors for the isotropic harmonic oscillator and the proof is extended i
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::280183c436d90b6beafd31c8d7209bea
Zobrazit plný text záznamu
6
Topology of the Nodal Set of Random Equivariant Spherical Harmonics on 𝕊3
Autor: Steve Zelditch, Junehyuk Jung
Publikováno v: International Mathematics Research Notices. 2021:8521-8549
We show that real and imaginary parts of equivariant spherical harmonics on $S^3$ have almost surely a single nodal component. Moreover, if the degree of the spherical harmonic is $N$ and the equivariance degree is $m$, then the expected genus is pro
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8cc9369464f8ce4e146170a3c4efe3c3
https://doi.org/10.1093/imrn/rnz348
Zobrazit plný text záznamu
7
Log-scale equidistribution of nodal sets in Grauert tubes
Autor: Steve Zelditch, Robert P. H. Chang
Publikováno v: Journal de Mathématiques Pures et Appliquées. 129:213-241
Let M τ 0 be the Grauert tube (of some fixed radius τ 0 ) of a compact, negatively curved, real analytic Riemannian manifold M without boundary. Let φ λ be a Laplacian eigenfunction on M of eigenvalue − λ 2 and let φ λ C be its holomorphic e
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8474026c3f50059958d750dcfda58efe
https://doi.org/10.1016/j.matpur.2018.12.004
Zobrazit plný text záznamu
8
Nodal intersections and geometric control
Autor: John A. Toth, Steve Zelditch
Publikováno v: Journal of Differential Geometry. 117
This article contains a generalization of the authors' results on numbers of nodal points of eigenfunctions on "good curves" in analytic plane domains (arXiv:0710.0101). The term `good' means that the $L^2$ norms of restrictions of eigenfunctions of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec14c3c90f3ef6294022530b0421b40b
https://doi.org/10.4310/jdg/1612975018
Zobrazit plný text záznamu
9
Spectral asymptotics on stationary space-times
Autor: Steve Zelditch, Alexander Strohmaier
We review our recent relativistic generalization of the Gutzwiller–Duistermaat–Guillemin trace formula and Weyl law on globally hyperbolic stationary space-times with compact Cauchy hypersurfaces. We also discuss anticipated generalizations to no
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::684aab501be64208b1c568aa76b1719f
https://eprints.whiterose.ac.uk/158798/1/QMath02262020.pdf
Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání

Omezení vyhledávání
Plný text Recenzováno Digitální knihovna AV ČR
Zdroje