Rios-Cangas, Josué I. The \(k\)-adjacency operators and adjacency Jacobi matrix on distance-regular graphs. (English) Zbl 07787373 Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 8, 20 p. (2024). MSC: 05C50 05C12 05C63 34L05 47B36 47B25 47A10 47A20 PDFBibTeX XMLCite \textit{J. I. Rios-Cangas}, Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 8, 20 p. (2024; Zbl 07787373) Full Text: DOI
Kostenko, Aleksey; Nicolussi, Noema Laplacians on infinite graphs: discrete vs. continuous. (English) Zbl 07763394 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 295-323 (2023). MSC: 47B25 05C63 81Q35 35R02 60J27 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{N. Nicolussi}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 295--323 (2023; Zbl 07763394) Full Text: DOI arXiv
Hofmann, Matthias; Kennedy, James B.; Serio, Andrea Spectral minimal partitions of unbounded metric graphs. (English) Zbl 07761496 J. Spectr. Theory 13, No. 2, 593-622 (2023). MSC: 81Q35 05C12 34B45 35P15 35R02 49Q10 35J91 58J50 78A30 PDFBibTeX XMLCite \textit{M. Hofmann} et al., J. Spectr. Theory 13, No. 2, 593--622 (2023; Zbl 07761496) Full Text: DOI arXiv
Torres, Luis Caicedo; Gal, Ciprian G. Superdiffusive fractional in time Schrödinger equations: a unifying approach to superdiffusive waves. (English) Zbl 1512.35638 Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107141, 43 p. (2023). MSC: 35R11 35Q55 PDFBibTeX XMLCite \textit{L. C. Torres} and \textit{C. G. Gal}, Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107141, 43 p. (2023; Zbl 1512.35638) Full Text: DOI
Mugnolo, Delio; Plümer, Marvin On torsional rigidity and ground-state energy of compact quantum graphs. (English) Zbl 1504.35603 Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 27, 37 p. (2023). MSC: 35R02 05C50 35J05 35J25 35P15 81Q35 PDFBibTeX XMLCite \textit{D. Mugnolo} and \textit{M. Plümer}, Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 27, 37 p. (2023; Zbl 1504.35603) Full Text: DOI arXiv
Kostenko, Aleksey; Mugnolo, Delio; Nicolussi, Noema Self-adjoint and Markovian extensions of infinite quantum graphs. (English) Zbl 07731388 J. Lond. Math. Soc., II. Ser. 105, No. 2, 1262-1313 (2022). MSC: 81Q35 05C50 47B93 34B45 47B25 81Q10 05C12 28A75 35J05 05C22 PDFBibTeX XMLCite \textit{A. Kostenko} et al., J. Lond. Math. Soc., II. Ser. 105, No. 2, 1262--1313 (2022; Zbl 07731388) Full Text: DOI arXiv
Fulsche, Robert; Nursultanov, Medet Spectral theory for Sturm-Liouville operators with measure potentials through Otelbaev’s function. (English) Zbl 1507.34099 J. Math. Phys. 63, No. 1, Article ID 012101, 22 p. (2022). MSC: 34L40 47E05 34B24 47B25 PDFBibTeX XMLCite \textit{R. Fulsche} and \textit{M. Nursultanov}, J. Math. Phys. 63, No. 1, Article ID 012101, 22 p. (2022; Zbl 1507.34099) Full Text: DOI arXiv
Barrera-Figueroa, V.; Rabinovich, V. S.; Loredo-Ramírez, S. A. C. Dirac operators on infinite quantum graphs. (English) Zbl 1507.81085 Russ. J. Math. Phys. 29, No. 3, 306-320 (2022). MSC: 81Q10 81R25 81Q35 05C70 47A10 PDFBibTeX XMLCite \textit{V. Barrera-Figueroa} et al., Russ. J. Math. Phys. 29, No. 3, 306--320 (2022; Zbl 1507.81085) Full Text: DOI
Joly, Patrick; Kachanovska, Maryna Local transparent boundary conditions for wave propagation in fractal trees. II: Error and complexity analysis. (English) Zbl 1494.65081 SIAM J. Numer. Anal. 60, No. 2, 529-557 (2022). MSC: 65M15 35R02 35L05 35P20 65M60 81Q35 PDFBibTeX XMLCite \textit{P. Joly} and \textit{M. Kachanovska}, SIAM J. Numer. Anal. 60, No. 2, 529--557 (2022; Zbl 1494.65081) Full Text: DOI
Kostenko, Aleksey; Malamud, Mark; Nicolussi, Noema A Glazman-Povzner-Wienholtz theorem on graphs. (English) Zbl 1503.81035 Adv. Math. 395, Article ID 108158, 30 p. (2022). MSC: 81Q35 05C50 39A12 34B45 47B25 81Q10 PDFBibTeX XMLCite \textit{A. Kostenko} et al., Adv. Math. 395, Article ID 108158, 30 p. (2022; Zbl 1503.81035) Full Text: DOI arXiv
Post, Olaf; Simmer, Jan Graph-like spaces approximated by discrete graphs and applications. (English) Zbl 07747387 Math. Nachr. 294, No. 11, 2237-2278 (2021). MSC: 47A58 28A80 47A07 58J50 PDFBibTeX XMLCite \textit{O. Post} and \textit{J. Simmer}, Math. Nachr. 294, No. 11, 2237--2278 (2021; Zbl 07747387) Full Text: DOI OA License
Plümer, Marvin Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs. (English) Zbl 1484.35302 J. Spectr. Theory 11, No. 4, 1857-1894 (2021). MSC: 35P15 34B45 05C50 05C10 47B39 81Q35 PDFBibTeX XMLCite \textit{M. Plümer}, J. Spectr. Theory 11, No. 4, 1857--1894 (2021; Zbl 1484.35302) Full Text: DOI arXiv
Kostenko, Aleksey; Nicolussi, Noema Quantum graphs on radially symmetric antitrees. (English) Zbl 1483.81074 J. Spectr. Theory 11, No. 2, 411-460 (2021). Reviewer: Mustafa Salti (Mersin) MSC: 81Q35 35J05 34B24 34B45 35P15 81Q10 47B25 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{N. Nicolussi}, J. Spectr. Theory 11, No. 2, 411--460 (2021; Zbl 1483.81074) Full Text: DOI arXiv
Kostenko, Aleksey; Nicolussi, Noema A note on the Gaffney Laplacian on infinite metric graphs. (English) Zbl 1475.35374 J. Funct. Anal. 281, No. 10, Article ID 109216, 20 p. (2021). MSC: 35R02 47B25 81Q10 05C50 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{N. Nicolussi}, J. Funct. Anal. 281, No. 10, Article ID 109216, 20 p. (2021; Zbl 1475.35374) Full Text: DOI arXiv
Anantharaman, Nalini; Ingremeau, Maxime; Sabri, Mostafa; Winn, Brian Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit. (English) Zbl 1461.81046 J. Funct. Anal. 280, No. 12, Article ID 108988, 52 p. (2021). MSC: 81Q35 81Q10 34B45 47B15 PDFBibTeX XMLCite \textit{N. Anantharaman} et al., J. Funct. Anal. 280, No. 12, Article ID 108988, 52 p. (2021; Zbl 1461.81046) Full Text: DOI arXiv
Becker, Simon; Gregorio, Federica; Mugnolo, Delio Schrödinger and polyharmonic operators on infinite graphs: parabolic well-posedness and \(p\)-independence of spectra. (English) Zbl 1460.35091 J. Math. Anal. Appl. 495, No. 2, Article ID 124748, 44 p. (2021). MSC: 35J10 31B30 35R02 PDFBibTeX XMLCite \textit{S. Becker} et al., J. Math. Anal. Appl. 495, No. 2, Article ID 124748, 44 p. (2021; Zbl 1460.35091) Full Text: DOI arXiv
Granovskyi, Yaroslav; Malamud, Mark; Neidhardt, Hagen Non-compact quantum graphs with summable matrix potentials. (English) Zbl 1457.81043 Ann. Henri Poincaré 22, No. 1, 1-47 (2021). MSC: 81Q10 35Pxx 58J50 46C05 47B06 47B10 47B15 47B25 PDFBibTeX XMLCite \textit{Y. Granovskyi} et al., Ann. Henri Poincaré 22, No. 1, 1--47 (2021; Zbl 1457.81043) Full Text: DOI arXiv
Nicolussi, Noema Strong isoperimetric inequality for tessellating quantum graphs. (English) Zbl 1473.81073 Atay, Fatihcan M. (ed.) et al., Discrete and continuous models in the theory of networks. Selected contributions from the participants of the research group hosted by the ZiF – Center for Interdisciplinary Research, University of Bielefeld, Bielefeld, Germany, October 2012 – September 2017 and the final conference, University of Bielefeld, Bielefeld, Germany, November 27 – December 1, 2017. Cham: Springer. Oper. Theory: Adv. Appl. 281, 271-290 (2020). MSC: 81Q35 05C50 35P15 PDFBibTeX XMLCite \textit{N. Nicolussi}, Oper. Theory: Adv. Appl. 281, 271--290 (2020; Zbl 1473.81073) Full Text: DOI arXiv
Waurick, Marcus; Wegner, Sven-Ake Dissipative extensions and port-Hamiltonian operators on networks. (English) Zbl 1447.93151 J. Differ. Equations 269, No. 9, 6830-6874 (2020). MSC: 93C20 93B70 93B28 93C25 PDFBibTeX XMLCite \textit{M. Waurick} and \textit{S.-A. Wegner}, J. Differ. Equations 269, No. 9, 6830--6874 (2020; Zbl 1447.93151) Full Text: DOI arXiv
Harrell, Evans M. II; Maltsev, Anna V. Localization and landscape functions on quantum graphs. (English) Zbl 1433.81089 Trans. Am. Math. Soc. 373, No. 3, 1701-1729 (2020). MSC: 81Q35 34L10 81U26 PDFBibTeX XMLCite \textit{E. M. Harrell II} and \textit{A. V. Maltsev}, Trans. Am. Math. Soc. 373, No. 3, 1701--1729 (2020; Zbl 1433.81089) Full Text: DOI arXiv
Boscain, Ugo (ed.); Kostenko, Aleksey (ed.); Pankrashkin, Konstantin (ed.) Mini-workshop: Self-adjoint extensions in new settings. Abstracts from the mini-workshop held October 6–12, 2019. (English) Zbl 1454.00044 Oberwolfach Rep. 16, No. 4, 2911-2950 (2019). MSC: 00B05 00B25 53-06 58-08 81-06 81Q10 34B45 53C17 35J67 58J05 35J70 PDFBibTeX XMLCite \textit{U. Boscain} (ed.) et al., Oberwolfach Rep. 16, No. 4, 2911--2950 (2019; Zbl 1454.00044) Full Text: DOI
Granovskyi, Ya. I.; Malamud, M. M.; Neidhardt, H. Quantum graphs with summable matrix potentials. (English. Russian original) Zbl 1435.81081 Dokl. Math. 100, No. 2, 405-410 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 488, No. 1, 5-10 (2019). MSC: 81Q35 05C40 81Q10 34B24 34L05 81U20 PDFBibTeX XMLCite \textit{Ya. I. Granovskyi} et al., Dokl. Math. 100, No. 2, 405--410 (2019; Zbl 1435.81081); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 488, No. 1, 5--10 (2019) Full Text: DOI
Kostenko, Aleksey; Nicolussi, Noema Spectral estimates for infinite quantum graphs. (English) Zbl 1404.81111 Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 15, 40 p. (2019). MSC: 81Q35 34B45 35P15 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{N. Nicolussi}, Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 15, 40 p. (2019; Zbl 1404.81111) Full Text: DOI arXiv