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arxiv: 1708.09664 · v1 · pith:OSLK7QJ2new · submitted 2017-08-31 · 🧮 math.SP · math.AP

Criticality theory for Schr\"odinger operators on graphs

Matthias Keller , Yehuda Pinchover , Felix Pogorzelski This is my paper
classification 🧮 math.SP math.AP
keywords graphsodingeroperatorsschrcriticalitytheorydevelopforms
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We study Schr\"odinger operators given by positive quadratic forms on infinite graphs. From there, we develop a criticality theory for Schr\"odinger operators on general weighted graphs.

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