JournalsjstVol. 10, No. 1pp. 73–114

Criticality theory for Schrödinger operators on graphs

  • Matthias Keller

    Universität Potsdam, Germany

  • Yehuda Pinchover

    Technion – Israel Institute of Technology, Haifa, Israel

  • Felix Pogorzelski

    Universität Leipzig, Germany
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Abstract

We study Schrödinger operators given by positive quadratic forms on infinite graphs. From there, we develop a criticality theory for Schrödinger operators on general weighted graphs.

Cite this article

Matthias Keller, Yehuda Pinchover, Felix Pogorzelski, Criticality theory for Schrödinger operators on graphs. J. Spectr. Theory 10 (2020), no. 1, pp. 73–114

DOI 10.4171/JST/286