38 citations · 164 across the 11 of their papers we have counts for
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nlin.CD2006★ 32 cited
Nodal domains on isospectral quantum graphs: the resolution of isospectrality ?
Ram Band, Talia Shapira, Uzy Smilansky
We present and discuss isospectral quantum graphs which are not isometric. These graphs are the analogues of the isospectral domains in R2 which were introduced recently and are al…
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…