26 citations · 26 across the 1 of their papers we have counts for
2 papers
nlin.CD2008★ 26 cited
Quantum ergodicity on graphs
S. Gnutzmann, J. P. Keating, F. Piotet
We investigate the equidistribution of the eigenfunctions on quantum graphs in the high-energy limit. Our main result is an estimate of the deviations from equidistribution for lar…
math-ph2002
Value distribution of the eigenfunctions and spectral determinants of quantum star graphs
J. P. Keating, J. Marklof, B. Winn
We compute the value distributions of the eigenfunctions and spectral determinant of the Schrodinger operator on families of star graphs. The values of the spectral determinant are…