Criticality theory for Schrödinger operators on graphs

Matthias Keller; Yehuda Pinchover; Felix Pogorzelski

doi:10.4171/jst/286

JournalsjstVol. 10, No. 1pp. 73–114

Criticality theory for Schrödinger operators on graphs

Matthias Keller
Universität Potsdam, Germany
- zbMATH Open
Yehuda Pinchover
Technion – Israel Institute of Technology, Haifa, Israel
Felix Pogorzelski
Universität Leipzig, Germany
- zbMATH Open

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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