Spectra of graph operators. I.
Peter Kuchment, Texas A&M University
Abstract:
Relating spectra of graph operators (both in discrete and quantum versions) to the geometry of the graph is a hard task. However, even some
”simple” basic questions do not seem to be settled down yet for the case of
infinite graphs. The talk purposes to address some of these questions. I hope
to touch upon problems of self-adjointness, growth of generalized eigenfunctions, Shnol’s type theorems, spectral gaps, and point spectrum. This is the
first part of the talk that will be continued at the Groups and Dynamics
Seminar.
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