CaltechAUTHORS
Published August 26, 2020 | Version Submitted
Journal Article Open

Periodic Jacobi Matrices on Trees

Creators

  • 1. ROR icon Northwestern University
  • 2. ROR icon Hebrew University of Jerusalem
  • 3. ROR icon California Institute of Technology

Abstract

We begin the systematic study of the spectral theory of periodic Jacobi matrices on trees including a formal definition. The most significant result that appears here for the first time is that these operators have no singular continuous spectrum. We review important previous results of Sunada and Aomoto and present several illuminating examples. We present many open problems and conjectures that we hope will stimulate further work.

Additional Information

© 2020 Elsevier Inc. Research supported in part by NSF grant DMS-1902041. Research supported in part by Israeli BSF Grant No. 2014337. and Israel Science Foundation Grant No. 399/16. Research supported in part by NSF grant DMS-1665526 and in part by Israeli BSF Grant No. 2014337.

Attached Files

Submitted - 1911.02612.pdf

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Additional details

Identifiers

Eprint ID
100564
Resolver ID
CaltechAUTHORS:20200108-134956957

Related works

Describes
https://arxiv.org/abs/1911.02612 (URL)

Funding

NSF
DMS-1902041
Binational Science Foundation (USA-Israel)
2014337
Israel Science Foundation
399/16
NSF
DMS-1665526

Dates

Created
2020-01-08
Created from EPrint's datestamp field
Updated
2021-11-16
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Mathematics Department , Physics Department