J. Toth

activity

20002022

most citedL^p norms of eigenfunctions in the completely integrable case

43 citations · 105 across the 18 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.SP2012

Intersection bounds for nodal sets of planar Neumann eigenfunctions with interior analytic curves

Layan El-Hajj, John A. Toth

Let $Ω \subset R^{2}$ be a bounded piecewise smooth domain and $ϕ_{λ}$ be a Neumann (or Dirichlet) eigenfunction with eigenvalue $λ^{2}$ and nodal set ${ N}_{ϕ_λ} = {x \in Ω; ϕ_λ(x) = 0}…

math.SP2012

On the distribution of perturbations of propagated Schrödinger eigenfunctions

Yaiza Canzani, Dmitry Jakobson, John Toth

Let $(M, g_{0})$ be a compact Riemmanian manifold of dimension $n$ . Let $P_0 (\h) := -\h^2Δ_{g}+V$ be the semiclassical Schrödinger operator for $\h \in (0,\h_0]$, and let $E$ be a re…

math.AP2012

Quantum ergodic restriction for Cauchy data: Interior QUE and restricted QUE

Hans Christianson, John Toth, Steve Zelditch

We prove a quantum ergodic restriction theorem for the Cauchy data of a sequence of quantum ergodic eigenfunctions on a hypersurface $H$ of a Riemannian manifold $(M, g)$ . The tech…