38 citations · 164 across the 11 of their papers we have counts for
4 papers · 1 filter
Nodal domains on graphs - How to count them and why?
Ram Band, Idan Oren, Uzy Smilansky
The purpose of the present manuscript is to collect known results and present some new ones relating to nodal domains on graphs, with special emphasize on nodal counts. Several met…
Quantum graphs where back-scattering is prohibited
J. M. Harrison, U. Smilansky, B. Winn
We describe a new class of scattering matrices for quantum graphs in which back-scattering is prohibited. We discuss some properties of quantum graphs with these scattering matrice…
Quantum chaos on discrete graphs
Uzy Smilansky
Adapting a method developed for the study of quantum chaos on {\it quantum (metric)} graphs \cite {KS}, spectral functions and trace formulae for {\it discrete} Laplacians on g…
The Statistics of the Points Where Nodal Lines Intersect a Reference Curve
Amit Aronovitch, Uzy Smilansky
We study the intersection points of a fixed planar curve with the nodal set of a translationally invariant and isotropic Gaussian random field $Ψ(\bi{r})$ and the zeros of its…