Publications

Preprints:

• Higher rank Voronoi tilings and metric degenerations of tori, O. Amini and N. Nicolussi, 65 pages, submitted, arXiv:2310:06523 (2023).

• Capacity of infinite graphs over non-Archimedean ordered fields, F. Fischer, M. Keller, A. Muranova, and N. Nicolussi, 29 pages, submitted, arXiv:2308.13264 (2023).

• Moduli of hybrid curves II: Tropical and hybrid Laplacians, O. Amini and N. Nicolussi, research monograph preprint, 230 pages, arXiv:2203.12785 (2022).

• Moduli of hybrid curves and variations of canonical measures, O. Amini and N. Nicolussi, 78 pages, submitted, arXiv:2007.07130 (2020).

Research monograph:

• Laplacians on Infinite Graphs, A. Kostenko and N. Nicolussi, Memoirs Eur. Math. Soc. 3 (2023), 240pp.

Papers:

• A Glazman-Povzner-Wienholtz Theorem on graphs, A. Kostenko, M. Malamud, and N. Nicolussi, Adv. Math. 395, Art ID: 108158 (2022); arXiv:2105.09931.

• Self-adjoint and Markovian Extensions of Infinite Quantum Graphs, A. Kostenko, D. Mugnolo, and N. Nicolussi, J. London Math. Soc. 105, no. 2, 1262–1313 (2022); arXiv:1911.04735.

• A note on the Gaffney Laplacian on metric graphs, A. Kostenko and N. Nicolussi, J. Funct. Anal. 281, no.10, Art ID: 109216 (2021); arXiv:2108.08185.

• Quantum Graphs on radially symmetric antitrees, A. Kostenko and N. Nicolussi, J. Spectral Theory 11, no. 2, 411–460 (2021); arXiv:1901.05404.

• Trace formulas and continuous dependence of spectra for the periodic conservative Camassa-Holm flow, J. Eckhardt, A. Kostenko, and N. Nicolussi, J. Differential Equations 268, no. 6, 3016–3034 (2020); arXiv:1907.01911.

• Strong isoperimetric inequality for tessellating quantum graphs, N. Nicolussi, in: “Discrete and Continuous Models in the Theory of Networks”, F. Fatihcan et.al.(eds.), 271–290, Oper. Theory: Adv. Appl. 281, Birkhäuser, Basel, 2020; arXiv:1806.10096.

• Spectral estimates for infinite quantum graphs, A. Kostenko and N. Nicolussi, Calc. Var. Partial Differential Equations 58, no. 1, Art ID: 15 (2019); arXiv:1711.02428.

• On the Hamiltonian-Krein index for a non-self-adjoint spectral problem, A. Kostenko and N. Nicolussi, Proc. Amer. Math. Soc. 146, no. 9, 3907–3921 (2018); arXiv:1712.01702.

Review articles:

• Laplacians on infinite graphs: discrete vs continuous, A. Kostenko and N. Nicolussi, 8th European Congress of Mathematics (Portoroz, 20-26 June, 2021), EMS Press, pp.295-232, 2023; arXiv:2110.03566.

• A note on Spectral Analysis of Quantum graphs, N. Nicolussi, Internationale Mathematische Nachrichten 251, 1-20 (2022); arXiv:2209.02968.