Applications of small-scale quantum ergodicity in nodal sets
From MaRDI portal
Publication:1692136
DOI10.2140/apde.2018.11.855OpenAlexW2419619614MaRDI QIDQ1692136
Publication date: 26 January 2018
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.02057
Related Items
Distribution of the nodal sets of eigenfunctions on analytic manifolds, Equidistribution of random waves on small balls, On the lower bound of the inner radius of nodal domains, Quantum ergodicity and \(L^{p}\) norms of restrictions of eigenfunctions, Distorted plane waves on manifolds of nonpositive curvature, Inner radius of nodal domains of quantum ergodic eigenfunctions
Cites Work
- Unnamed Item
- Unnamed Item
- Lower bounds on the Hausdorff measure of nodal sets. II
- Almost all eigenfunctions of a rational polygon are uniformly distributed
- Small scale equidistribution of random eigenbases
- Small scale equidistribution of eigenfunctions on the torus
- Nodal sets for solutions of elliptic equations
- On the geometry of the nodal lines of eigenfunctions of the two-dimensional torus
- Lower bounds for nodal sets of eigenfunctions
- The quantum unique ergodicity conjecture for thin sets
- Localized \(L^{p}\)-estimates of eigenfunctions: a note on an article of Hezari and Rivière
- Variations on quantum ergodic theorems
- \(L^{p}\) norms, nodal sets, and quantum ergodicity
- Ergodicity and eigenfunctions of the Laplacian
- Uniform distribution of eigenfunctions on compact hyperbolic surfaces
- Nodal sets of eigenfunctions on Riemannian manifolds
- Nodal sets of eigenfunctions on Riemann surfaces
- Über Knoten von Eigenfunktionen des Laplace-Beltrami-Operators
- Ergodicity of eigenfunctions for ergodic billiards
- Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\)
- A natural lower bound for the size of nodal sets
- Remarks on quantum ergodicity
- Quantitative equidistribution properties of toral eigenfunctions
- Lower bounds on the Hausdorff measure of nodal sets
- Gradient estimate of an eigenfunction on a compact Riemannian manifold without boundary
- The effect of curvature on convexity properties of harmonic functions and eigenfunctions
- Lower Bounds on Nodal Sets of Eigenfunctions via the Heat Flow
- Small scale quantum ergodicity in negatively curved manifolds
- Nodal sets of solutions of elliptic and parabolic equations
- Nodal Sets for Eigenfunctions of the Laplacian On Surfaces
- Local and global analysis of eigenfunctions
- Lower bounds for volumes of nodal sets: An improvement of a result of Sogge-Zelditch
