38 citations · 53 across the 2 of their papers we have counts for
2 papers
nlin.CD2008★ 15 cited
Counting nodal domains on surfaces of revolution
Panos D. Karageorge, Uzy Smilansky
We consider eigenfunctions of the Laplace-Beltrami operator on special surfaces of revolution. For this separable system, the nodal domains of the (real) eigenfunctions form a chec…
nlin.CD2006★ 38 cited
Can one count the shape of a drum?
Sven Gnutzmann, Panos D. Karageorge, Uzy Smilansky
Sequences of nodal counts store information on the geometry (metric) of the domain where the wave equation is considered. To demonstrate this statement, we consider the eigenfuncti…