Add to ORKGAbstract. This is a survey of recent results on nodal sets of eigenfunctions of the Laplacian on Riemannian manifolds. The emphasis is on complex nodal sets of analytic continuations of eigenfunctions
The nodal set of a Laplacian eigenfunction forms a partition of the underlying manifold or graph. An...
arXiv:1503.05105v1We consider the problem of prescribing the nodal set of the first nontrivial eigen...
International audienceWe give an upper bound for the (n−1)-dimensional Hausdorff measure of the crit...
Perturbations of the Laplacian are known as Schrodinger operators. We pose a question about perturba...
We consider a Laplace eigenfunction φλ on a smooth closed Riemannian manifold, that is, satisfying −...
This article reviews two rigorous results about the complex zeros of eigenfunctions of the Laplacian...
We study the nodal sets of non-degenerate eigenfunctions of the Laplacian on fibre bundles π:M→B in ...
This is a survey, without proofs, of the main results in [S]. We refer the reader to that paper for ...
Abstract. We prove that, given any knot γ in a compact 3-manifold M, there exists a Riemannian metri...
The asymptotic of the number of nodal domains of eigenfunctions on a manifold is closely related to ...
The asymptotic of the number of nodal domains of eigenfunctions on a manifold is closely related to ...
Abstract. We prove a result, announced by F. Nazarov, L. Polterovich and M. Sodin in [NPS], that exh...
We prove that, given any knot γ in a compact 3-manifold M, there exists a Riemannian metric on M suc...
The nodal set of a Laplacian eigenfunction forms a partition of the underlying manifold or graph. An...
We prove that the nodal set (zero set) of a solution of a generalized Dirac equation on a Riemannian...
The nodal set of a Laplacian eigenfunction forms a partition of the underlying manifold or graph. An...
arXiv:1503.05105v1We consider the problem of prescribing the nodal set of the first nontrivial eigen...
International audienceWe give an upper bound for the (n−1)-dimensional Hausdorff measure of the crit...
Perturbations of the Laplacian are known as Schrodinger operators. We pose a question about perturba...
We consider a Laplace eigenfunction φλ on a smooth closed Riemannian manifold, that is, satisfying −...
This article reviews two rigorous results about the complex zeros of eigenfunctions of the Laplacian...
We study the nodal sets of non-degenerate eigenfunctions of the Laplacian on fibre bundles π:M→B in ...
This is a survey, without proofs, of the main results in [S]. We refer the reader to that paper for ...
Abstract. We prove that, given any knot γ in a compact 3-manifold M, there exists a Riemannian metri...
The asymptotic of the number of nodal domains of eigenfunctions on a manifold is closely related to ...
The asymptotic of the number of nodal domains of eigenfunctions on a manifold is closely related to ...
Abstract. We prove a result, announced by F. Nazarov, L. Polterovich and M. Sodin in [NPS], that exh...
We prove that, given any knot γ in a compact 3-manifold M, there exists a Riemannian metric on M suc...
The nodal set of a Laplacian eigenfunction forms a partition of the underlying manifold or graph. An...
We prove that the nodal set (zero set) of a solution of a generalized Dirac equation on a Riemannian...
The nodal set of a Laplacian eigenfunction forms a partition of the underlying manifold or graph. An...
arXiv:1503.05105v1We consider the problem of prescribing the nodal set of the first nontrivial eigen...
International audienceWe give an upper bound for the (n−1)-dimensional Hausdorff measure of the crit...