The spectrum of asymptotic Cayley trees

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The spectrum of asymptotic Cayley trees. / Durhuus, Bergfinnur; Jonsson, Thordur; Wheater, John.

I: Journal of Physics A: Mathematical and Theoretical, Bind 57, Nr. 21, 215202, 2024.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Durhuus, B, Jonsson, T & Wheater, J 2024, 'The spectrum of asymptotic Cayley trees', Journal of Physics A: Mathematical and Theoretical, bind 57, nr. 21, 215202. https://doi.org/10.1088/1751-8121/ad469a

APA

Durhuus, B., Jonsson, T., & Wheater, J. (2024). The spectrum of asymptotic Cayley trees. Journal of Physics A: Mathematical and Theoretical, 57(21), [215202]. https://doi.org/10.1088/1751-8121/ad469a

Vancouver

Durhuus B, Jonsson T, Wheater J. The spectrum of asymptotic Cayley trees. Journal of Physics A: Mathematical and Theoretical. 2024;57(21). 215202. https://doi.org/10.1088/1751-8121/ad469a

Author

Durhuus, Bergfinnur ; Jonsson, Thordur ; Wheater, John. / The spectrum of asymptotic Cayley trees. I: Journal of Physics A: Mathematical and Theoretical. 2024 ; Bind 57, Nr. 21.

Bibtex

@article{832eb7b79f864632916309969b700b2a,

title = "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.",

keywords = "Cayley tree, graph spectrum, quantum walk, random walk",

author = "Bergfinnur Durhuus and Thordur Jonsson and John Wheater",

note = "Publisher Copyright: {\textcopyright} 2024 The Author(s). Published by IOP Publishing Ltd.",

year = "2024",

doi = "10.1088/1751-8121/ad469a",

language = "English",

volume = "57",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "Institute of Physics Publishing Ltd",

number = "21",

}

RIS

TY - JOUR

T1 - The spectrum of asymptotic Cayley trees

AU - Durhuus, Bergfinnur

AU - Jonsson, Thordur

AU - Wheater, John

PY - 2024

Y1 - 2024

N2 - 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.

AB - 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.

KW - Cayley tree

KW - graph spectrum

KW - quantum walk

KW - random walk

U2 - 10.1088/1751-8121/ad469a

DO - 10.1088/1751-8121/ad469a

M3 - Journal article

AN - SCOPUS:85193594469

VL - 57

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 21

M1 - 215202

ER -

ID: 395025384