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arxiv: 1607.05752 · v1 · pith:VFOU7ECQnew · submitted 2016-07-19 · 🧮 math.SP · math-ph· math.MP

Torsional Rigidity, Isospectrality and Quantum Graphs

classification 🧮 math.SP math-phmath.MP
keywords rigiditytorsionalgraphisospectralpairsquantumanalogsdistinguished
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We study torsional rigidity for graph and quantum graph analogs of well-known pairs of isospectral non-isometric planar domains. We prove that such isospectral pairs are distinguished by torsional rigidity.

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