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math.SP2007★ 39 cited
Index theorems for quantum graphs
S. A. Fulling, P. Kuchment, J. H. Wilson
In geometric analysis, an index theorem relates the difference of the numbers of solutions of two differential equations to the topological structure of the manifold or bundle conc…
math.SP2005
Coincidence of length spectra does not imply isospectrality
S. A. Fulling, Peter Kuchment
Penrose--Lifshits mushrooms are planar domains coming in nonisometric pairs with the same geodesic length spectrum. Recently S. Zelditch raised the question whether such billiards…