21 citations · 102 across the 28 of their papers we have counts for
3 papers · 1 filter
On nodal sets and nodal domains on S^2 and R^2
Alexandre Eremenko, Dmitry Jakobson, Nikolai Nadirashvili
We discuss possible topological configurations of nodal sets, in particular the number of their components, for spherical harmonics on S^2. We also construct a solution of the equa…
A lower bound for the remainder in Weyl's law on negatively curved surfaces
Dmitry Jakobson, Iosif Polterovich, John A. Toth
We obtain an estimate from below for the remainder in Weyl's law on negatively curved surfaces. In the constant curvature case, such a bound was proved independently by Hejhal and…
High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows
Dmitry Jakobson, Alexander Strohmaier
We relate high-energy limits of Laplace-type and Dirac-type operators to frame flows on the corresponding manifolds, and show that the ergodicity of frame flows implies quantum erg…