@article{KellerPinchoverPogorzelski2019, author = {Keller, Matthias and Pinchover, Yehuda and Pogorzelski, Felix}, title = {Criticality theory for Schr{\"o}dinger operators on graphs}, series = {Journal of spectral theory}, volume = {10}, journal = {Journal of spectral theory}, number = {1}, publisher = {European Mathematical Society}, address = {Z{\"u}rich}, issn = {1664-039X}, doi = {10.4171/JST/286}, pages = {73 -- 114}, year = {2019}, abstract = {We study Schrodinger operators given by positive quadratic forms on infinite graphs. From there, we develop a criticality theory for Schrodinger operators on general weighted graphs.}, language = {en} }