Journal article
The spectrum of asymptotic Cayley trees
- Abstract:
- We characterize the spectrum of the transition matrix for simple random walk on graphs consisting of a finite graph with a finite number of infinite Cayley trees attached. We show that there is a continuous spectrum identical to that for a Cayley tree and, in general, a non-empty pure point spectrum. We apply our results to studying continuous time quantum walk on these graphs. If the pure point spectrum is nonempty the walk is in general confined with a nonzero probability.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Version of record, pdf, 440.5KB, Terms of use)
-
- Publisher copy:
- 10.1088/1751-8121/ad469a
Authors
- Publisher:
- IOP Publishing
- Journal:
- Journal of Physics A: Mathematical and Theoretical More from this journal
- Volume:
- 57
- Article number:
- 215202
- Publication date:
- 2024-05-15
- Acceptance date:
- 2024-05-01
- DOI:
- EISSN:
-
1751-8121
- ISSN:
-
1751-8113
- Language:
-
English
- Keywords:
- Pubs id:
-
1993825
- Local pid:
-
pubs:1993825
- Deposit date:
-
2024-05-01
Terms of use
- Copyright holder:
- Durhuus et al.
- Copyright date:
- 2024
- Rights statement:
- ©2024 The Author(s). Published by IOP Publishing Ltd. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
- Licence:
- CC Attribution (CC BY)
If you are the owner of this record, you can report an update to it here: Report update to this record