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Surface spectra of discrete Laplacians. / Korotyaev, E.; Ryadovkin, K.; Saburova, N.

Proceedings of the International Conference Days on Diffraction, DD 2018. ed. / A.Ya. Kazakov; A.P. Kiselev; L.I. Goray; O.V. Motygin. Institute of Electrical and Electronics Engineers Inc., 2018. p. 182-186 8553356 (Proceedings of the International Conference Days on Diffraction, DD 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Korotyaev, E, Ryadovkin, K & Saburova, N 2018, Surface spectra of discrete Laplacians. in AY Kazakov, AP Kiselev, LI Goray & OV Motygin (eds), Proceedings of the International Conference Days on Diffraction, DD 2018., 8553356, Proceedings of the International Conference Days on Diffraction, DD 2018, Institute of Electrical and Electronics Engineers Inc., pp. 182-186, 2018 International Conference Days on Diffraction, DD 2018, St. Petersburg, Russian Federation, 4/06/18. https://doi.org/10.1109/DD.2018.8553356

APA

Korotyaev, E., Ryadovkin, K., & Saburova, N. (2018). Surface spectra of discrete Laplacians. In A. Y. Kazakov, A. P. Kiselev, L. I. Goray, & O. V. Motygin (Eds.), Proceedings of the International Conference Days on Diffraction, DD 2018 (pp. 182-186). [8553356] (Proceedings of the International Conference Days on Diffraction, DD 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2018.8553356

Vancouver

Korotyaev E, Ryadovkin K, Saburova N. Surface spectra of discrete Laplacians. In Kazakov AY, Kiselev AP, Goray LI, Motygin OV, editors, Proceedings of the International Conference Days on Diffraction, DD 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 182-186. 8553356. (Proceedings of the International Conference Days on Diffraction, DD 2018). https://doi.org/10.1109/DD.2018.8553356

Author

Korotyaev, E. ; Ryadovkin, K. ; Saburova, N. / Surface spectra of discrete Laplacians. Proceedings of the International Conference Days on Diffraction, DD 2018. editor / A.Ya. Kazakov ; A.P. Kiselev ; L.I. Goray ; O.V. Motygin. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 182-186 (Proceedings of the International Conference Days on Diffraction, DD 2018).

BibTeX

@inproceedings{6b1c9304684348559c21d86e8e2b079d,
title = "Surface spectra of discrete Laplacians",
abstract = "It is well known that the spectra of Laplacians on periodic graphs consist of a finite number of non-degenerate bands and eigenvalues of infinite multiplicity. We consider Laplacians on periodic graphs with boundaries. Under some conditions on the boundary the spectrum of the Laplacian has the so-called surface part, i.e., the spectrum corresponding to waves localized near the boundary. The surface spectrum is of particular interest due to its connection with the study of thermal transport, propagation of electromagnetic and acoustic waves. In this work we describe this spectrum.",
author = "E. Korotyaev and K. Ryadovkin and N. Saburova",
year = "2018",
month = nov,
day = "29",
doi = "10.1109/DD.2018.8553356",
language = "English",
series = "Proceedings of the International Conference Days on Diffraction, DD 2018",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "182--186",
editor = "A.Ya. Kazakov and A.P. Kiselev and L.I. Goray and O.V. Motygin",
booktitle = "Proceedings of the International Conference Days on Diffraction, DD 2018",
address = "United States",
note = "2018 International Conference Days on Diffraction, DD 2018 ; Conference date: 04-06-2018 Through 08-06-2018",

}

RIS

TY - GEN

T1 - Surface spectra of discrete Laplacians

AU - Korotyaev, E.

AU - Ryadovkin, K.

AU - Saburova, N.

PY - 2018/11/29

Y1 - 2018/11/29

N2 - It is well known that the spectra of Laplacians on periodic graphs consist of a finite number of non-degenerate bands and eigenvalues of infinite multiplicity. We consider Laplacians on periodic graphs with boundaries. Under some conditions on the boundary the spectrum of the Laplacian has the so-called surface part, i.e., the spectrum corresponding to waves localized near the boundary. The surface spectrum is of particular interest due to its connection with the study of thermal transport, propagation of electromagnetic and acoustic waves. In this work we describe this spectrum.

AB - It is well known that the spectra of Laplacians on periodic graphs consist of a finite number of non-degenerate bands and eigenvalues of infinite multiplicity. We consider Laplacians on periodic graphs with boundaries. Under some conditions on the boundary the spectrum of the Laplacian has the so-called surface part, i.e., the spectrum corresponding to waves localized near the boundary. The surface spectrum is of particular interest due to its connection with the study of thermal transport, propagation of electromagnetic and acoustic waves. In this work we describe this spectrum.

UR - http://www.scopus.com/inward/record.url?scp=85060035559&partnerID=8YFLogxK

U2 - 10.1109/DD.2018.8553356

DO - 10.1109/DD.2018.8553356

M3 - Conference contribution

AN - SCOPUS:85060035559

T3 - Proceedings of the International Conference Days on Diffraction, DD 2018

SP - 182

EP - 186

BT - Proceedings of the International Conference Days on Diffraction, DD 2018

A2 - Kazakov, A.Ya.

A2 - Kiselev, A.P.

A2 - Goray, L.I.

A2 - Motygin, O.V.

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2018 International Conference Days on Diffraction, DD 2018

Y2 - 4 June 2018 through 8 June 2018

ER -

ID: 46131254