Egidi, Michela; Mugnolo, Delio; Seelmann, Albrecht Sturm-Liouville problems and global bounds by small control sets and applications to quantum graphs. (English) Zbl 07814080 J. Math. Anal. Appl. 535, No. 1, Article ID 128101, 32 p. (2024). MSC: 81Qxx 93Bxx 05Cxx PDFBibTeX XMLCite \textit{M. Egidi} et al., J. Math. Anal. Appl. 535, No. 1, Article ID 128101, 32 p. (2024; Zbl 07814080) Full Text: DOI arXiv
Casiday, Beata; Contreras, Ivan; Meyer, Thomas; Mi, Sabrina; Spingarn, Ethan Laplace and Dirac operators on graphs. (English) Zbl 07808509 Linear Multilinear Algebra 72, No. 2, 325-365 (2024). MSC: 05C50 05C10 05C90 81Q05 81Q35 15A67 35J10 PDFBibTeX XMLCite \textit{B. Casiday} et al., Linear Multilinear Algebra 72, No. 2, 325--365 (2024; Zbl 07808509) Full Text: DOI arXiv
Agostinho, Francisco; Correia, Simão; Tavares, Hugo Classification and stability of positive solutions to the NLS equation on the \(\mathcal{T}\)-metric graph. (English) Zbl 07789596 Nonlinearity 37, No. 2, Article ID 025005, 47 p. (2024). MSC: 34B45 05C12 34B08 34B18 47J30 34L40 34D20 PDFBibTeX XMLCite \textit{F. Agostinho} et al., Nonlinearity 37, No. 2, Article ID 025005, 47 p. (2024; Zbl 07789596) Full Text: DOI arXiv
Ali, Aftab; Usman, Muhammad Surgery transformations and spectral estimates of \(\delta\) beam operators. (English) Zbl 1528.34025 Math. Phys. Anal. Geom. 26, No. 4, Paper No. 27, 34 p. (2023). MSC: 34B45 34L15 34L40 05C50 34C20 PDFBibTeX XMLCite \textit{A. Ali} and \textit{M. Usman}, Math. Phys. Anal. Geom. 26, No. 4, Paper No. 27, 34 p. (2023; Zbl 1528.34025) 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
Prodan, Emil Quantum versus population dynamics over Cayley graphs. (English) Zbl 07749141 Ann. Phys. 457, Article ID 169430, 16 p. (2023). MSC: 81Q35 81Q05 92D25 05C69 49Q20 05C81 PDFBibTeX XMLCite \textit{E. Prodan}, Ann. Phys. 457, Article ID 169430, 16 p. (2023; Zbl 07749141) Full Text: DOI arXiv
Sabri, Mostafa; Youssef, Pierre Flat bands of periodic graphs. (English) Zbl 1521.05107 J. Math. Phys. 64, No. 9, Article ID 092101, 23 p. (2023). MSC: 05C50 81Q10 35J10 47A10 47B37 PDFBibTeX XMLCite \textit{M. Sabri} and \textit{P. Youssef}, J. Math. Phys. 64, No. 9, Article ID 092101, 23 p. (2023; Zbl 1521.05107) Full Text: DOI arXiv
de los Santos, F.; Romera, E. Quantum recurrence times in nanostructures. (English) Zbl 07735718 Phys. Lett., A 483, Article ID 129062, 4 p. (2023). MSC: 81Q37 32C30 82D80 81Q05 05C78 PDFBibTeX XMLCite \textit{F. de los Santos} and \textit{E. Romera}, Phys. Lett., A 483, Article ID 129062, 4 p. (2023; Zbl 07735718) Full Text: DOI
Korotyaev, Evgeny; Saburova, Natalia Trace formulas for magnetic Schrödinger operators on periodic graphs and their applications. (English) Zbl 07734093 Linear Algebra Appl. 676, 395-440 (2023). MSC: 47A10 05C63 47B39 05C50 PDFBibTeX XMLCite \textit{E. Korotyaev} and \textit{N. Saburova}, Linear Algebra Appl. 676, 395--440 (2023; Zbl 07734093) Full Text: DOI arXiv
Sanchez Sanchez, Yafet; Schrohe, Elmar Adiabatic ground states in non-smooth spacetimes. (English) Zbl 07723239 Ann. Henri Poincaré 24, No. 9, 2929-2948 (2023). MSC: 83F05 05B20 81Q05 35P15 70H11 58J47 PDFBibTeX XMLCite \textit{Y. Sanchez Sanchez} and \textit{E. Schrohe}, Ann. Henri Poincaré 24, No. 9, 2929--2948 (2023; Zbl 07723239) Full Text: DOI arXiv
Emir, Kadir; Paseka, Jan; Vetterlein, Thomas Finitary prelinear and linear orthosets. (English) Zbl 07719538 Int. J. Theor. Phys. 62, No. 6, Paper No. 123, 17 p. (2023). MSC: 81P05 81Q05 81Q35 05B40 03G10 06C15 PDFBibTeX XMLCite \textit{K. Emir} et al., Int. J. Theor. Phys. 62, No. 6, Paper No. 123, 17 p. (2023; Zbl 07719538) Full Text: DOI
Nath, Debraj; Roy, Amlan K. Average energy and Shannon entropy of a confined harmonic oscillator in a time-dependent moving boundary. (English) Zbl 1518.94029 J. Math. Chem. 61, No. 7, 1491-1503 (2023). MSC: 94A17 05C50 35J10 PDFBibTeX XMLCite \textit{D. Nath} and \textit{A. K. Roy}, J. Math. Chem. 61, No. 7, 1491--1503 (2023; Zbl 1518.94029) Full Text: DOI
Golovaty, Yuriy Quantum graphs: Coulomb-type potentials and exactly solvable models. (English) Zbl 1527.81056 Ann. Henri Poincaré 24, No. 8, 2557-2585 (2023). MSC: 81Q10 78A25 81Q35 05C69 81Q80 34L40 PDFBibTeX XMLCite \textit{Y. Golovaty}, Ann. Henri Poincaré 24, No. 8, 2557--2585 (2023; Zbl 1527.81056) Full Text: DOI arXiv
Niikuni, Hiroaki An exact formula for the number of negative eigenvalues for zigzag carbon nanotubes with \(\delta\) impurities. (English) Zbl 07709579 Integral Equations Oper. Theory 95, No. 2, Paper No. 10, 28 p. (2023). MSC: 82D80 81Q10 15A18 05C25 34B45 35J10 PDFBibTeX XMLCite \textit{H. Niikuni}, Integral Equations Oper. Theory 95, No. 2, Paper No. 10, 28 p. (2023; Zbl 07709579) Full Text: DOI
Su, Heng; Guo, Yuxin; Guan, Yefeng; He, Hexiang The transport of dipole solitons in a one-dimensional nonlinear photonic crystal. (English) Zbl 1527.81126 Phys. Lett., A 478, Article ID 128909, 6 p. (2023). MSC: 81V80 82D25 35Q55 05C70 35C08 78A60 35B35 82C70 PDFBibTeX XMLCite \textit{H. Su} et al., Phys. Lett., A 478, Article ID 128909, 6 p. (2023; Zbl 1527.81126) Full Text: DOI
Helmuth, Tyler; Jenssen, Matthew; Perkins, Will Finite-size scaling, phase coexistence, and algorithms for the random cluster model on random graphs. (English) Zbl 07699943 Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 2, 817-848 (2023). MSC: 82B20 82B26 82B27 82B44 60J10 60F05 05C80 PDFBibTeX XMLCite \textit{T. Helmuth} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 2, 817--848 (2023; Zbl 07699943) Full Text: DOI arXiv
Kostenko, Aleksey; Nicolussi, Noema Laplacians on infinite graphs. (English) Zbl 1521.05002 Memoirs of the European Mathematical Society 3. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-025-9/pbk; 978-3-98547-525-4/ebook). viii, 232 p. (2023). Reviewer: Shuchao Li (Wuhan) MSC: 05-02 05C35 05C22 05C90 34B45 35R01 60J27 81Q35 35J10 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{N. Nicolussi}, Laplacians on infinite graphs. Berlin: European Mathematical Society (EMS) (2023; Zbl 1521.05002) Full Text: DOI
Chelkak, Dmitry; Izyurov, Konstantin; Mahfouf, Rémy Universality of spin correlations in the Ising model on isoradial graphs. (English) Zbl 1517.82012 Ann. Probab. 51, No. 3, 840-898 (2023). MSC: 82B20 82B44 82B27 82D40 81T40 30G25 05C10 PDFBibTeX XMLCite \textit{D. Chelkak} et al., Ann. Probab. 51, No. 3, 840--898 (2023; Zbl 1517.82012) Full Text: DOI arXiv
Sellke, Mark Free energy subadditivity for symmetric random Hamiltonians. (English) Zbl 1512.82005 J. Math. Phys. 64, No. 4, Article ID 043302, 14 p. (2023). MSC: 82B10 82B44 82D30 60K35 05C80 15B52 PDFBibTeX XMLCite \textit{M. Sellke}, J. Math. Phys. 64, No. 4, Article ID 043302, 14 p. (2023; Zbl 1512.82005) Full Text: DOI arXiv
Mugnolo, Delio; Pivovarchik, Vyacheslav Distinguishing cospectral quantum graphs by scattering. (English) Zbl 1519.81188 J. Phys. A, Math. Theor. 56, No. 9, Article ID 095201, 18 p. (2023). MSC: 81Q05 05C12 81U05 05C69 35P10 81Q35 PDFBibTeX XMLCite \textit{D. Mugnolo} and \textit{V. Pivovarchik}, J. Phys. A, Math. Theor. 56, No. 9, Article ID 095201, 18 p. (2023; Zbl 1519.81188) Full Text: DOI arXiv
Akramov, M.; Khashimova, F.; Matrasulov, D. Discrete nonlocal nonlinear Schrödinger equation on graphs: dynamics of PT-symmetric solitons in discrete networks. (English) Zbl 1511.81022 Phys. Lett., A 457, Article ID 128555, 8 p. (2023). MSC: 81P45 35Q55 39A12 35Q51 82C70 81Q35 05C05 81R12 70H33 PDFBibTeX XMLCite \textit{M. Akramov} et al., Phys. Lett., A 457, Article ID 128555, 8 p. (2023; Zbl 1511.81022) Full Text: DOI
Ujino, Kota Exact Hausdorff dimension of the spectral measure for the graph Laplacian on a sparse tree. (English) Zbl 1518.35254 J. Math. Anal. Appl. 519, No. 2, Article ID 126811, 39 p. (2023). MSC: 35J05 05C05 35R02 35J10 PDFBibTeX XMLCite \textit{K. Ujino}, J. Math. Anal. Appl. 519, No. 2, Article ID 126811, 39 p. (2023; Zbl 1518.35254) Full Text: DOI arXiv
Ayyer, Arvind; Martin, James B. The inhomogeneous multispecies PushTASEP: Dynamics and symmetry. arXiv:2310.09740 Preprint, arXiv:2310.09740 [math.PR] (2023). MSC: 60J10 82B20 82B23 82B44 33D52 05A10 BibTeX Cite \textit{A. Ayyer} and \textit{J. B. Martin}, ``The inhomogeneous multispecies PushTASEP: Dynamics and symmetry'', Preprint, arXiv:2310.09740 [math.PR] (2023) Full Text: arXiv OA License
Skopenkov, Mihail B.; Ustinov, Alexey V. Feynman checkers: towards algorithmic quantum theory. (English. Russian original) Zbl 1526.82005 Russ. Math. Surv. 77, No. 3, 445-530 (2022); translation from Usp. Mat. Nauk 77, No. 3, 73-160 (2022). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 82B20 82B26 11L03 68Q12 81P68 81T25 81T40 05A17 11P82 33C45 35Q41 PDFBibTeX XMLCite \textit{M. B. Skopenkov} and \textit{A. V. Ustinov}, Russ. Math. Surv. 77, No. 3, 445--530 (2022; Zbl 1526.82005); translation from Usp. Mat. Nauk 77, No. 3, 73--160 (2022) Full Text: DOI arXiv MNR
de Suzzoni, Anne-Sophie Singularities in the weak turbulence regime for the quintic Schrödinger equation. (English) Zbl 1511.35274 Doc. Math. 27, 2491-2561 (2022). MSC: 35Q35 35Q41 35Q55 76F25 05C05 35A01 35A02 PDFBibTeX XMLCite \textit{A.-S. de Suzzoni}, Doc. Math. 27, 2491--2561 (2022; Zbl 1511.35274) Full Text: DOI arXiv
Hrgovčić, Hrvoje J. Brownian-Huygens propagation: modeling wave functions with discrete particle-antiparticle random walks. (English) Zbl 1514.81208 Int. J. Theor. Phys. 61, No. 9, Paper No. 239, 26 p. (2022). MSC: 81T25 05C81 35C07 68Q80 81Q05 82C41 35K05 35L05 05C80 PDFBibTeX XMLCite \textit{H. J. Hrgovčić}, Int. J. Theor. Phys. 61, No. 9, Paper No. 239, 26 p. (2022; Zbl 1514.81208) Full Text: DOI
Dunlop, François; Mardin, Arif Galton-Watson trees with first ancestor interaction. (English) Zbl 1508.82008 J. Stat. Phys. 189, No. 3, Paper No. 38, 19 p. (2022). MSC: 82B20 82B44 60J80 05C05 PDFBibTeX XMLCite \textit{F. Dunlop} and \textit{A. Mardin}, J. Stat. Phys. 189, No. 3, Paper No. 38, 19 p. (2022; Zbl 1508.82008) Full Text: DOI arXiv
Shafeeque Ali, A. K.; Govindarajan, A.; Lakshmanan, M. Filamentation and stabilization of vortex solitons in nonlinear metamaterial waveguides. (English) Zbl 1511.81061 Phys. Lett., A 451, Article ID 128416, 13 p. (2022). MSC: 81Q37 82D77 35C08 05C70 35Q55 35B35 35G20 PDFBibTeX XMLCite \textit{A. K. Shafeeque Ali} et al., Phys. Lett., A 451, Article ID 128416, 13 p. (2022; Zbl 1511.81061) Full Text: DOI
Mukhamedov, Farrukh; Souissi, Abdessatar; Hamdi, Tarek Open quantum random walks and quantum Markov chains on trees. I: Phase transitions. (English) Zbl 1511.81087 Open Syst. Inf. Dyn. 29, No. 1, Article ID 2250003, 23 p. (2022). MSC: 81S22 60G50 60J20 05C05 82B44 82B26 81Q12 94A17 PDFBibTeX XMLCite \textit{F. Mukhamedov} et al., Open Syst. Inf. Dyn. 29, No. 1, Article ID 2250003, 23 p. (2022; Zbl 1511.81087) Full Text: DOI arXiv
Cygan, Wojciech; Kaleta, Kamil; Śliwiński, Mateusz Decay of harmonic functions for discrete time Feynman-Kac operators with confining potentials. (English) Zbl 1496.60087 ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 1071-1101 (2022). MSC: 60J10 47D08 31C05 60J76 05C81 39A70 35P05 81Q10 PDFBibTeX XMLCite \textit{W. Cygan} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 1071--1101 (2022; Zbl 1496.60087) Full Text: arXiv Link
Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of low temperature and external magnetic field. (English) Zbl 1494.82022 ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 537-563 (2022). MSC: 82B44 82B20 60F05 05C80 PDFBibTeX XMLCite \textit{Z. Kabluchko} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 537--563 (2022; Zbl 1494.82022) Full Text: arXiv Link
Mazorchuk, Volodymyr; Mrðen, Rafael Lie algebra modules which are locally finite and with finite multiplicities over the semisimple part. (English) Zbl 1505.17007 Nagoya Math. J. 246, 430-470 (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B30 05E10 PDFBibTeX XMLCite \textit{V. Mazorchuk} and \textit{R. Mrðen}, Nagoya Math. J. 246, 430--470 (2022; Zbl 1505.17007) Full Text: DOI arXiv
Korotyaev, Evgeny; Saburova, Natalia Two-sided estimates of total bandwidth for Schrödinger operators on periodic graphs. (English) Zbl 07524321 Commun. Pure Appl. Anal. 21, No. 5, 1691-1714 (2022). MSC: 47A10 05C63 35R02 PDFBibTeX XMLCite \textit{E. Korotyaev} and \textit{N. Saburova}, Commun. Pure Appl. Anal. 21, No. 5, 1691--1714 (2022; Zbl 07524321) Full Text: DOI arXiv
Ammari, Kaïs; Sabri, Mostafa Dispersion for Schrödinger operators on regular trees. (English) Zbl 1487.81096 Anal. Math. Phys. 12, No. 2, Paper No. 56, 38 p. (2022). MSC: 81Q35 81Q20 46N50 81Q05 81Q10 35P20 05C05 PDFBibTeX XMLCite \textit{K. Ammari} and \textit{M. Sabri}, Anal. Math. Phys. 12, No. 2, Paper No. 56, 38 p. (2022; Zbl 1487.81096) Full Text: DOI arXiv
Can, Van Hao; Giardinà, Cristian; Giberti, Claudio; van der Hofstad, Remco Annealed Ising model on configuration models. (English) Zbl 1484.82008 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 1, 134-163 (2022). MSC: 82B20 82B26 82B27 82B44 05C80 PDFBibTeX XMLCite \textit{V. H. Can} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 1, 134--163 (2022; Zbl 1484.82008) Full Text: DOI arXiv
Bruned, Yvain; Schratz, Katharina Resonance-based schemes for dispersive equations via decorated trees. (English) Zbl 1504.65168 Forum Math. Pi 10, Paper No. e2, 76 p. (2022). Reviewer: Michael Jung (Dresden) MSC: 65M06 60L70 65M12 65M15 16T05 41A58 42A38 05C05 35B34 35Q53 35Q55 35Q41 60L30 81R50 PDFBibTeX XMLCite \textit{Y. Bruned} and \textit{K. Schratz}, Forum Math. Pi 10, Paper No. e2, 76 p. (2022; Zbl 1504.65168) Full Text: DOI arXiv
Ishiwata, Satoshi; Kawabi, Hiroshi A graph discretized approximation of semigroups for diffusion with drift and killing on a complete Riemannian manifold. arXiv:2211.14472 Preprint, arXiv:2211.14472 [math.FA] (2022). MSC: 47D08 58J65 05C81 BibTeX Cite \textit{S. Ishiwata} and \textit{H. Kawabi}, ``A graph discretized approximation of semigroups for diffusion with drift and killing on a complete Riemannian manifold'', Preprint, arXiv:2211.14472 [math.FA] (2022) Full Text: arXiv OA License
Kudryashov, V. V.; Baran, A. V. Exact solution of the Schrödinger equation for composition of Coulomb and oscillator potentials. (English) Zbl 07728718 Nonlinear Phenom. Complex Syst., Minsk 24, No. 2, 203-206 (2021). MSC: 81Q05 78A30 35B05 65D12 35P15 33C15 05C62 PDFBibTeX XMLCite \textit{V. V. Kudryashov} and \textit{A. V. Baran}, Nonlinear Phenom. Complex Syst., Minsk 24, No. 2, 203--206 (2021; Zbl 07728718) Full Text: DOI
Damanik, David (ed.); Keller, Matthias (ed.); Nagnibeda, Tatiana (ed.); Pogorzelski, Felix (ed.) Geometry, dynamics and spectrum of operators on discrete spaces. Abstracts from the workshop held January 3–9, 2021 (online meeting). (English) Zbl 1487.00037 Oberwolfach Rep. 18, No. 1, 33-85 (2021). MSC: 00B05 00B25 47-06 47A10 47B80 47A35 05C50 82B44 52C23 46L10 PDFBibTeX XMLCite \textit{D. Damanik} (ed.) et al., Oberwolfach Rep. 18, No. 1, 33--85 (2021; Zbl 1487.00037) Full Text: DOI
Alexandrov, Sergei Rank \(N\) Vafa-Witten invariants, modularity and blow-up. (English) Zbl 1487.81077 Adv. Theor. Math. Phys. 25, No. 2, 275-308 (2021). MSC: 81Q05 35Q55 05A15 32A19 14D21 35B44 PDFBibTeX XMLCite \textit{S. Alexandrov}, Adv. Theor. Math. Phys. 25, No. 2, 275--308 (2021; Zbl 1487.81077) Full Text: DOI arXiv
Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina Fluctuations for the partition function of Ising models on Erdös-Rényi random graphs. (English) Zbl 1483.05158 Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 4, 2017-2042 (2021). MSC: 05C80 60F05 82B44 82B20 PDFBibTeX XMLCite \textit{Z. Kabluchko} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 4, 2017--2042 (2021; Zbl 1483.05158) Full Text: DOI arXiv
El Alaoui, Ahmed; Montanari, Andrea On the computational tractability of statistical estimation on amenable graphs. (English) Zbl 1491.62043 Probab. Theory Relat. Fields 181, No. 4, 815-864 (2021). MSC: 62H22 05C80 05D40 60K35 62H25 82B20 82B44 PDFBibTeX XMLCite \textit{A. El Alaoui} and \textit{A. Montanari}, Probab. Theory Relat. Fields 181, No. 4, 815--864 (2021; Zbl 1491.62043) Full Text: DOI arXiv
Plümer, Marvin; Täufer, Matthias On fully supported eigenfunctions of quantum graphs. (English) Zbl 1514.81135 Lett. Math. Phys. 111, No. 6, Paper No. 153, 23 p. (2021). MSC: 81Q35 05C12 05C05 46C05 16D70 34L40 34L10 PDFBibTeX XMLCite \textit{M. Plümer} and \textit{M. Täufer}, Lett. Math. Phys. 111, No. 6, Paper No. 153, 23 p. (2021; Zbl 1514.81135) Full Text: DOI arXiv
Carmona, A.; Encinas, A. M.; Mitjana, M. A combinatorial expression for the group inverse of symmetric \(M\)-matrices. (English) Zbl 1473.05050 Spec. Matrices 9, 275-296 (2021). MSC: 05C05 15A09 15A10 PDFBibTeX XMLCite \textit{A. Carmona} et al., Spec. Matrices 9, 275--296 (2021; Zbl 1473.05050) Full Text: DOI
Hislop, Peter D.; Marx, Christoph A. Dependence of the density of states outer measure on the potential for deterministic Schrödinger operators on graphs with applications to ergodic and random models. (English) Zbl 1472.81104 J. Funct. Anal. 281, No. 9, Article ID 109186, 38 p. (2021). MSC: 81Q35 81Q05 47A35 35R60 05C63 51F30 PDFBibTeX XMLCite \textit{P. D. Hislop} and \textit{C. A. Marx}, J. Funct. Anal. 281, No. 9, Article ID 109186, 38 p. (2021; Zbl 1472.81104) Full Text: DOI arXiv
Borisov, D. I.; Konyrkulzhaeva, M. N.; Mukhametrakhimova, A. I. On discrete spectrum of a model graph with loop and small edges. (English. Russian original) Zbl 1472.81069 J. Math. Sci., New York 257, No. 5, 551-568 (2021); translation from Probl. Mat. Anal. 111, 3-17 (2021). MSC: 81Q05 81Q35 05C70 34L40 34B09 34L10 PDFBibTeX XMLCite \textit{D. I. Borisov} et al., J. Math. Sci., New York 257, No. 5, 551--568 (2021; Zbl 1472.81069); translation from Probl. Mat. Anal. 111, 3--17 (2021) Full Text: DOI
Xu, Pengliang; Tang, Xiaomin Graded post-Lie algebra structures and homogeneous Rota-Baxter operators on the Schrödinger-Virasoro algebra. (English) Zbl 1486.16048 Electron. Res. Arch. 29, No. 4, 2771-2789 (2021). Reviewer: Houyi Yu (Chongqing) MSC: 16W99 05C05 PDFBibTeX XMLCite \textit{P. Xu} and \textit{X. Tang}, Electron. Res. Arch. 29, No. 4, 2771--2789 (2021; Zbl 1486.16048) Full Text: DOI
Clark, Jeremy Thane Weak-disorder limit at criticality for directed polymers on hierarchical graphs. (English) Zbl 1481.82028 Commun. Math. Phys. 386, No. 2, 651-710 (2021). MSC: 82D60 82B20 82B44 82B27 60F05 60K37 05C90 PDFBibTeX XMLCite \textit{J. T. Clark}, Commun. Math. Phys. 386, No. 2, 651--710 (2021; Zbl 1481.82028) Full Text: DOI arXiv
Can, Van Hao; van der Hofstad, Remco; Kumagai, Takashi Glauber dynamics for Ising models on random regular graphs: cut-off and metastability. (English) Zbl 1473.82017 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1441-1482 (2021). MSC: 82C20 82B44 05C80 82D40 82C27 PDFBibTeX XMLCite \textit{V. H. Can} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1441--1482 (2021; Zbl 1473.82017) Full Text: arXiv Link
Natanzon, Sergey M.; Orlov, Aleksandr Yu. Hurwitz numbers from matrix integrals over Gaussian measure. (English) Zbl 1470.05018 Novikov, Sergey (ed.) et al., Integrability, quantization, and geometry I. Integrable systems. Dedicated to the memory of Boris Dubrovin 1950–2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 103, Part 1, 337-375 (2021). MSC: 05A15 14H81 14N10 17B80 35Q53 37K10 81T18 35Q51 35Q55 37K20 37K30 81T70 PDFBibTeX XMLCite \textit{S. M. Natanzon} and \textit{A. Yu. Orlov}, Proc. Symp. Pure Math. 103, 337--375 (2021; Zbl 1470.05018) Full Text: arXiv
Cosco, Clément; Seroussi, Inbar; Zeitouni, Ofer Directed polymers on infinite graphs. (English) Zbl 1469.60356 Commun. Math. Phys. 386, No. 1, 395-432 (2021). MSC: 60K37 60K35 05C63 82D60 82B44 PDFBibTeX XMLCite \textit{C. Cosco} et al., Commun. Math. Phys. 386, No. 1, 395--432 (2021; Zbl 1469.60356) Full Text: DOI arXiv
Rozikov, U. A. Thermodynamics of interacting systems of DNA molecules. (English. Russian original) Zbl 1467.81100 Theor. Math. Phys. 206, No. 2, 174-184 (2021); translation from Teor. Mat. Fiz. 206, No. 2, 199-209 (2021). MSC: 81V55 92D20 05C05 81Q05 81R25 82B30 82B27 PDFBibTeX XMLCite \textit{U. A. Rozikov}, Theor. Math. Phys. 206, No. 2, 174--184 (2021; Zbl 1467.81100); translation from Teor. Mat. Fiz. 206, No. 2, 199--209 (2021) Full Text: DOI arXiv
Albenque, Marie; Ménard, Laurent; Schaeffer, Gilles Local convergence of large random triangulations coupled with an Ising model. (English) Zbl 1454.05011 Trans. Am. Math. Soc. 374, No. 1, 175-217 (2021). MSC: 05A15 05A16 05C30 60C05 60D05 60K35 82B44 PDFBibTeX XMLCite \textit{M. Albenque} et al., Trans. Am. Math. Soc. 374, No. 1, 175--217 (2021; Zbl 1454.05011) Full Text: DOI arXiv
Bae, Soohee; Ettehad, Mahmood On Vertex Conditions In Elastic Beam Frames: Analysis on Compact Graphs. arXiv:2112.01466 Preprint, arXiv:2112.01466 [math-ph] (2021). MSC: 34B45 05C90 58J50 35J50 34L40 47A75 47B25 BibTeX Cite \textit{S. Bae} and \textit{M. Ettehad}, ``On Vertex Conditions In Elastic Beam Frames: Analysis on Compact Graphs'', Preprint, arXiv:2112.01466 [math-ph] (2021) Full Text: arXiv OA License
Ettehad, Mahmood; Hatinoğlu, Burak On the Spectra of Periodic Elastic Beam Lattices: Single-Layer Graph. arXiv:2110.05466 Preprint, arXiv:2110.05466 [math-ph] (2021). MSC: 05C90 58J50 35J50 34L40 47A75 47B25 BibTeX Cite \textit{M. Ettehad} and \textit{B. Hatinoğlu}, ``On the Spectra of Periodic Elastic Beam Lattices: Single-Layer Graph'', Preprint, arXiv:2110.05466 [math-ph] (2021) Full Text: arXiv OA License
Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of small \(p\) and the critical temperature. (English) Zbl 1519.82014 J. Phys. A, Math. Theor. 53, No. 35, Article ID 355004, 37 p. (2020). MSC: 82B20 82B44 82C20 82C44 05C81 PDFBibTeX XMLCite \textit{Z. Kabluchko} et al., J. Phys. A, Math. Theor. 53, No. 35, Article ID 355004, 37 p. (2020; Zbl 1519.82014) Full Text: DOI arXiv
Caracciolo, Sergio; D’Achille, Matteo P.; Erba, Vittorio; Sportiello, Andrea The Dyck bound in the concave 1-dimensional random assignment model. (English) Zbl 1511.82019 J. Phys. A, Math. Theor. 53, No. 6, Article ID 064001, 25 p. (2020). MSC: 82B44 05C70 05A16 PDFBibTeX XMLCite \textit{S. Caracciolo} et al., J. Phys. A, Math. Theor. 53, No. 6, Article ID 064001, 25 p. (2020; Zbl 1511.82019) Full Text: DOI arXiv
Flanagan, Ryan; Lacasa, Lucas; Nicosia, Vincenzo On the spectral properties of Feigenbaum graphs. (English) Zbl 1511.82009 J. Phys. A, Math. Theor. 53, No. 2, Article ID 025702, 35 p. (2020). MSC: 82B20 82B44 37M10 05C50 15A18 PDFBibTeX XMLCite \textit{R. Flanagan} et al., J. Phys. A, Math. Theor. 53, No. 2, Article ID 025702, 35 p. (2020; Zbl 1511.82009) Full Text: DOI arXiv
Feng, He; Yan, Tian-Min; Jiang, Y. H. Dimerized decomposition of quantum evolution on an arbitrary graph. (English) Zbl 1508.81844 Quantum Inf. Process. 19, No. 1, Paper No. 30, 17 p. (2020). MSC: 81Q35 05C81 PDFBibTeX XMLCite \textit{H. Feng} et al., Quantum Inf. Process. 19, No. 1, Paper No. 30, 17 p. (2020; Zbl 1508.81844) Full Text: DOI arXiv
Orlov, Aleksandr Yu. 2D Yang-Mills theory and tau functions. (English) Zbl 1481.37077 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 221-250 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K10 37K20 17B80 35Q51 81R12 14N10 35Q55 81T13 70S15 15B52 05A15 35Q53 37K30 PDFBibTeX XMLCite \textit{A. Yu. Orlov}, in: Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019. Cham: Birkhäuser. 221--250 (2020; Zbl 1481.37077) Full Text: DOI
Schmidt, Marcel On the existence and uniqueness of self-adjoint realizations of discrete (magnetic) Schrödinger operators. (English) Zbl 1515.47048 Keller, Matthias (ed.) et al., Analysis and geometry on graphs and manifolds. Selected papers of the conference, University of Potsdam, Potsdam, Germany, July 31 – August 4, 2017. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 461, 250-327 (2020). MSC: 47B36 35J10 05C50 39A12 81Q35 47-02 PDFBibTeX XMLCite \textit{M. Schmidt}, Lond. Math. Soc. Lect. Note Ser. 461, 250--327 (2020; Zbl 1515.47048) Full Text: DOI arXiv
Post, Olaf; Saburova, Natalia Schrödinger operators with potential waveguides on periodic graphs. (English) Zbl 07346627 Oper. Matrices 14, No. 3, 601-634 (2020). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 47B39 81Q10 35J10 05C50 39A12 81Q35 PDFBibTeX XMLCite \textit{O. Post} and \textit{N. Saburova}, Oper. Matrices 14, No. 3, 601--634 (2020; Zbl 07346627) Full Text: DOI
Ayzenberg, Anton Space of isospectral periodic tridiagonal matrices. (English) Zbl 1477.57030 Algebr. Geom. Topol. 20, No. 6, 2957-2994 (2020). Reviewer: Michael J. Falk (Flagstaff) MSC: 57R91 57S12 34L40 52B70 52C22 55N91 05E45 13F55 14H70 15A18 37C81 37K10 51M20 55R80 55T10 PDFBibTeX XMLCite \textit{A. Ayzenberg}, Algebr. Geom. Topol. 20, No. 6, 2957--2994 (2020; Zbl 1477.57030) Full Text: DOI arXiv
Korotyaev, Evgeny; Saburova, Natalia Scattering on periodic metric graphs. (English) Zbl 07307142 Rev. Math. Phys. 32, No. 8, Article ID 2050024, 51 p. (2020). MSC: 47A10 47A40 05C63 35R02 PDFBibTeX XMLCite \textit{E. Korotyaev} and \textit{N. Saburova}, Rev. Math. Phys. 32, No. 8, Article ID 2050024, 51 p. (2020; Zbl 07307142) Full Text: DOI arXiv
Ammari, Kaïs; Duca, Alessandro Controllability of periodic bilinear quantum systems on infinite graphs. (English) Zbl 1454.81100 J. Math. Phys. 61, No. 10, 101507, 15 p. (2020). MSC: 81Q93 81Q35 81Q05 35G16 49K40 05C63 PDFBibTeX XMLCite \textit{K. Ammari} and \textit{A. Duca}, J. Math. Phys. 61, No. 10, 101507, 15 p. (2020; Zbl 1454.81100) Full Text: DOI arXiv
Apadula, Luca; Bisio, Alessandro; D’Ariano, Giacomo Mauro; Perinotti, Paolo Symmetries of the Dirac quantum walk and emergence of the De Sitter group. (English) Zbl 1454.81093 J. Math. Phys. 61, No. 8, 082202, 14 p. (2020). MSC: 81Q35 05C81 81Q05 81R20 81T10 81R05 22E43 PDFBibTeX XMLCite \textit{L. Apadula} et al., J. Math. Phys. 61, No. 8, 082202, 14 p. (2020; Zbl 1454.81093) Full Text: DOI arXiv
Parisi, Giorgio; Perrupato, Gianmarco; Sicuro, Gabriele Random-link matching problems on random regular graphs. (English) Zbl 1456.05150 J. Stat. Mech. Theory Exp. 2020, No. 3, Article ID 033301, 30 p. (2020). MSC: 05C80 05C70 82B44 90C27 90C35 PDFBibTeX XMLCite \textit{G. Parisi} et al., J. Stat. Mech. Theory Exp. 2020, No. 3, Article ID 033301, 30 p. (2020; Zbl 1456.05150) Full Text: DOI arXiv
Albeverio, Sergio; Karabash, Illya M. Generic asymptotics of resonance counting function for Schrödinger point interactions. (English) Zbl 1453.35057 Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 276, 80-93 (2020). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35J10 35B34 35P20 05C90 81Q37 81Q80 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{I. M. Karabash}, Oper. Theory: Adv. Appl. 276, 80--93 (2020; Zbl 1453.35057) Full Text: DOI arXiv
Ghosh, Subhroshekhar; Saha, Kumarjit Transmission and navigation on disordered lattice networks, directed spanning forests and Brownian web. (English) Zbl 1450.60057 J. Stat. Phys. 180, No. 1-6, 1167-1205 (2020). MSC: 60K30 05C80 82B44 PDFBibTeX XMLCite \textit{S. Ghosh} and \textit{K. Saha}, J. Stat. Phys. 180, No. 1--6, 1167--1205 (2020; Zbl 1450.60057) Full Text: DOI arXiv
Song, Eric Yilun; Gheissari, Reza; Newman, Charles M.; Stein, Daniel L. Local minima in disordered mean-field ferromagnets. (English) Zbl 1445.82002 J. Stat. Phys. 180, No. 1-6, 576-596 (2020). MSC: 82B44 82D40 82B20 82D30 05C80 60J22 PDFBibTeX XMLCite \textit{E. Y. Song} et al., J. Stat. Phys. 180, No. 1--6, 576--596 (2020; Zbl 1445.82002) Full Text: DOI arXiv
Barbier, Jean; Chan, Chun Lam; Macris, Nicolas Concentration of multi-overlaps for random dilute ferromagnetic spin models. (English) Zbl 1456.82485 J. Stat. Phys. 180, No. 1-6, 534-557 (2020). MSC: 82B44 82B20 82D40 05C80 PDFBibTeX XMLCite \textit{J. Barbier} et al., J. Stat. Phys. 180, No. 1--6, 534--557 (2020; Zbl 1456.82485) Full Text: DOI arXiv
Atai, Farrokh Source identities and kernel functions for the deformed Koornwinder-van Diejen models. (English) Zbl 1444.81039 Commun. Math. Phys. 377, No. 3, 2191-2216 (2020). MSC: 81V70 81Q05 33D52 81R20 05E05 33C45 35P05 14D15 PDFBibTeX XMLCite \textit{F. Atai}, Commun. Math. Phys. 377, No. 3, 2191--2216 (2020; Zbl 1444.81039) Full Text: DOI arXiv
Damanik, David; Fang, Licheng; Sukhtaiev, Selim Zero measure and singular continuous spectra for quantum graphs. (English) Zbl 1442.05124 Ann. Henri Poincaré 21, No. 7, 2167-2191 (2020). MSC: 05C50 81Q35 47B36 35J05 47B80 82B44 05C05 05C25 PDFBibTeX XMLCite \textit{D. Damanik} et al., Ann. Henri Poincaré 21, No. 7, 2167--2191 (2020; Zbl 1442.05124) Full Text: DOI arXiv
Hu, Yueyun; Mallein, Bastien; Pain, Michel An exactly solvable continuous-time Derrida-Retaux model. (English) Zbl 1439.82018 Commun. Math. Phys. 375, No. 1, 605-651 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 82B44 82D30 82B26 82B27 05C05 PDFBibTeX XMLCite \textit{Y. Hu} et al., Commun. Math. Phys. 375, No. 1, 605--651 (2020; Zbl 1439.82018) Full Text: DOI arXiv
Kurasov, Pavel; Suhr, Rune Asymptotically isospectral quantum graphs and generalised trigonometric polynomials. (English) Zbl 1436.81050 J. Math. Anal. Appl. 488, No. 1, Article ID 124049, 15 p. (2020). MSC: 81Q35 81Q10 34L40 05C12 34C27 58J53 34D05 PDFBibTeX XMLCite \textit{P. Kurasov} and \textit{R. Suhr}, J. Math. Anal. Appl. 488, No. 1, Article ID 124049, 15 p. (2020; Zbl 1436.81050) Full Text: DOI
Fernández-Bertolin, Aingeru; Jaming, Philippe Uniqueness for solutions of the Schrödinger equation on trees. (English) Zbl 1436.05029 Ann. Mat. Pura Appl. (4) 199, No. 2, 681-708 (2020). MSC: 05C05 31C20 39A12 81Q10 35Q55 35B60 PDFBibTeX XMLCite \textit{A. Fernández-Bertolin} and \textit{P. Jaming}, Ann. Mat. Pura Appl. (4) 199, No. 2, 681--708 (2020; Zbl 1436.05029) Full Text: DOI
Clark, Jeremy Thane Continuum directed random polymers on disordered hierarchical diamond lattices. (English) Zbl 1475.82022 Stochastic Processes Appl. 130, No. 3, 1643-1668 (2020). MSC: 82D60 60K37 82B20 82B44 05C80 PDFBibTeX XMLCite \textit{J. T. Clark}, Stochastic Processes Appl. 130, No. 3, 1643--1668 (2020; Zbl 1475.82022) Full Text: DOI arXiv
Le Masson, Etienne; Sabri, Mostafa \(L^p\) norms and support of eigenfunctions on graphs. (English) Zbl 1442.82006 Commun. Math. Phys. 374, No. 1, 211-240 (2020). MSC: 82B44 82D30 47B80 60H25 81Q10 05C50 PDFBibTeX XMLCite \textit{E. Le Masson} and \textit{M. Sabri}, Commun. Math. Phys. 374, No. 1, 211--240 (2020; Zbl 1442.82006) Full Text: DOI arXiv
Koberstein, Jannis; Schmidt, Marcel A note on the surjectivity of operators on vector bundles over discrete spaces. (English) Zbl 1435.47042 Arch. Math. 114, No. 3, 313-329 (2020). MSC: 47B37 47A05 05C50 PDFBibTeX XMLCite \textit{J. Koberstein} and \textit{M. Schmidt}, Arch. Math. 114, No. 3, 313--329 (2020; Zbl 1435.47042) Full Text: DOI arXiv
Bogachev, Leonid V.; Yakubovich, Yuri V. Limit shape of minimal difference partitions and fractional statistics. (English) Zbl 1435.05021 Commun. Math. Phys. 373, No. 3, 1085-1131 (2020). MSC: 05A17 11P81 82B44 05E10 PDFBibTeX XMLCite \textit{L. V. Bogachev} and \textit{Y. V. Yakubovich}, Commun. Math. Phys. 373, No. 3, 1085--1131 (2020; Zbl 1435.05021) Full Text: DOI arXiv
Abdul-Rahman, Houssam (ed.); Sims, Robert (ed.); Young, Amanda (ed.) Analytic trends in mathematical physics. Arizona school of analysis and mathematical physics, University of Arizona, Tucson, AZ, USA, March 5–9, 2018. (English) Zbl 1435.05002 Contemporary Mathematics 741. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4841-7/pbk; 978-1-4704-5388-6/ebook). x, 197 p. (2020). MSC: 05-06 05C80 60H15 60J10 81Q10 81Q15 82B20 82B44 82C10 82C20 82C22 90B15 00B25 PDFBibTeX XMLCite \textit{H. Abdul-Rahman} (ed.) et al., Analytic trends in mathematical physics. Arizona school of analysis and mathematical physics, University of Arizona, Tucson, AZ, USA, March 5--9, 2018. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1435.05002) Full Text: DOI
Breuer, Jonathan; Levi, Netanel On the decomposition of the Laplacian on metric graphs. (English) Zbl 1432.05061 Ann. Henri Poincaré 21, No. 2, 499-537 (2020). MSC: 05C50 81Q35 35J05 35J10 PDFBibTeX XMLCite \textit{J. Breuer} and \textit{N. Levi}, Ann. Henri Poincaré 21, No. 2, 499--537 (2020; Zbl 1432.05061) Full Text: DOI arXiv
Tao, Terence Book review of: J. Baik et al., Combinatorics and random matrix theory; L. Erdős and H.-T. Yau, Dynamical approach to random matrix theory. (English) Zbl 1427.00014 Bull. Am. Math. Soc., New Ser. 57, No. 1, 161-169 (2020). MSC: 00A17 05-01 15-01 05A15 15B52 60B20 60K35 05E10 20B30 15-02 60J65 82B44 PDFBibTeX XMLCite \textit{T. Tao}, Bull. Am. Math. Soc., New Ser. 57, No. 1, 161--169 (2020; Zbl 1427.00014) Full Text: DOI
Sjölin, Per; Strömberg, Jan-Olov Convergence of sequences of Schrödinger means. (English) Zbl 07138439 J. Math. Anal. Appl. 483, No. 1, Article ID 123580, 23 p. (2020). MSC: 03-XX 05-XX PDFBibTeX XMLCite \textit{P. Sjölin} and \textit{J.-O. Strömberg}, J. Math. Anal. Appl. 483, No. 1, Article ID 123580, 23 p. (2020; Zbl 07138439) Full Text: DOI arXiv
Huynh, Bao; Dutta, Haimonti; Taylor, Dane Impact of Community Structure on Consensus Machine Learning. arXiv:2011.01334 Preprint, arXiv:2011.01334 [cs.LG] (2020). MSC: 68M14 05C82 82B44 BibTeX Cite \textit{B. Huynh} et al., ``Impact of Community Structure on Consensus Machine Learning'', Preprint, arXiv:2011.01334 [cs.LG] (2020) Full Text: arXiv OA License
Yusupov, J. R.; Sabirov, K. K.; Ehrhardt, M.; Matrasulov, D. U. Transparent quantum graphs. (English) Zbl 1476.81048 Phys. Lett., A 383, No. 20, 2382-2388 (2019). MSC: 81Q35 81Q05 05C12 PDFBibTeX XMLCite \textit{J. R. Yusupov} et al., Phys. Lett., A 383, No. 20, 2382--2388 (2019; Zbl 1476.81048) Full Text: DOI arXiv
Khudayberganov, Gulmirza; Sobirov, Zarifboy A.; Eshimbetov, Mardonbek R. Unified transform method for the Schrödinger equation on a simple metric graph. (English) Zbl 07325517 J. Sib. Fed. Univ., Math. Phys. 12, No. 4, 412-420 (2019). MSC: 05-XX 35-XX PDFBibTeX XMLCite \textit{G. Khudayberganov} et al., J. Sib. Fed. Univ., Math. Phys. 12, No. 4, 412--420 (2019; Zbl 07325517) Full Text: DOI MNR
Chung, Soon-Yeong; Hwang, Jaeho The discrete \(p\)-Schrödinger equations under the mixed boundary conditions on networks. (English) Zbl 1451.39003 Physica D 395, 43-59 (2019). MSC: 39A12 05C50 35P05 PDFBibTeX XMLCite \textit{S.-Y. Chung} and \textit{J. Hwang}, Physica D 395, 43--59 (2019; Zbl 1451.39003) Full Text: DOI
Güneysu, Batu (ed.); Keller, Matthias (ed.); Kuwada, Kazumasa (ed.); Thalmaier, Anton (ed.) Mini-workshop: Recent progress in path integration on graphs and manifolds. Abstracts from the mini-workshop held April 7–13, 2019. (English) Zbl 1439.00070 Oberwolfach Rep. 16, No. 2, 1003-1042 (2019). MSC: 00B05 00B25 55-06 58-06 55P35 47D08 58J65 35P25 05C63 53C23 PDFBibTeX XMLCite \textit{B. Güneysu} (ed.) et al., Oberwolfach Rep. 16, No. 2, 1003--1042 (2019; Zbl 1439.00070) Full Text: DOI
Anantharaman, Nalini; Sabri, Mostafa Recent results of quantum ergodicity on graphs and further investigation. (English. French summary) Zbl 1434.82037 Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 3, 559-592 (2019). MSC: 82B44 58J51 47B80 60B20 05C80 PDFBibTeX XMLCite \textit{N. Anantharaman} and \textit{M. Sabri}, Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 3, 559--592 (2019; Zbl 1434.82037) Full Text: DOI arXiv
Orlov, Aleksander Yu. Links between quantum chaos and counting problems. (English) Zbl 1423.05019 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 355-373 (2019). MSC: 05A15 81Q50 14N10 17B80 35Q51 35Q53 35Q55 37K20 37K30 PDFBibTeX XMLCite \textit{A. Yu. Orlov}, in: Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2--8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th ``School of geometry and physics''. Cham: Birkhäuser. 355--373 (2019; Zbl 1423.05019) Full Text: DOI arXiv
Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs. (English) Zbl 1426.82031 J. Stat. Phys. 177, No. 1, 78-94 (2019). MSC: 82B44 60F05 82B20 05C80 PDFBibTeX XMLCite \textit{Z. Kabluchko} et al., J. Stat. Phys. 177, No. 1, 78--94 (2019; Zbl 1426.82031) Full Text: DOI arXiv
Grecu, Andreea; Ignat, Liviu I. The Schrödinger equation on a star-shaped graph under general coupling conditions. (English) Zbl 1422.81098 J. Phys. A, Math. Theor. 52, No. 3, Article ID 035202, 26 p. (2019). MSC: 81Q05 81Q35 05C12 81U30 47B25 47A10 35Q55 PDFBibTeX XMLCite \textit{A. Grecu} and \textit{L. I. Ignat}, J. Phys. A, Math. Theor. 52, No. 3, Article ID 035202, 26 p. (2019; Zbl 1422.81098) Full Text: DOI arXiv
Pivovarchik, V. On multiplicity of eigenvalues in quantum graph theory. (English) Zbl 1423.81085 J. Math. Anal. Appl. 480, No. 2, Article ID 123412, 12 p. (2019). MSC: 81Q35 05C05 34B24 81Q10 34L40 34B09 PDFBibTeX XMLCite \textit{V. Pivovarchik}, J. Math. Anal. Appl. 480, No. 2, Article ID 123412, 12 p. (2019; Zbl 1423.81085) Full Text: DOI
Bäumler, Johannes Uniqueness and non-uniqueness for spin-glass ground states on trees. (English) Zbl 1466.60215 Electron. J. Probab. 24, Paper No. 77, 17 p. (2019). MSC: 60K37 05C21 05C81 82B44 PDFBibTeX XMLCite \textit{J. Bäumler}, Electron. J. Probab. 24, Paper No. 77, 17 p. (2019; Zbl 1466.60215) Full Text: DOI arXiv Euclid
Clark, Jeremy Thane High-temperature scaling limit for directed polymers on a hierarchical lattice with bond disorder. (English) Zbl 1421.82003 J. Stat. Phys. 174, No. 6, 1372-1403 (2019). MSC: 82B20 82D60 82B44 05C80 PDFBibTeX XMLCite \textit{J. T. Clark}, J. Stat. Phys. 174, No. 6, 1372--1403 (2019; Zbl 1421.82003) Full Text: DOI arXiv
Berkolaiko, Gregory; Latushkin, Yuri; Sukhtaiev, Selim Limits of quantum graph operators with shrinking edges. (English) Zbl 1422.81101 Adv. Math. 352, 632-669 (2019). MSC: 81Q10 05C50 47A10 81Q35 PDFBibTeX XMLCite \textit{G. Berkolaiko} et al., Adv. Math. 352, 632--669 (2019; Zbl 1422.81101) Full Text: DOI arXiv
Medini, Zied Discrete magnetic bottles on quasi-linear graphs. (English) Zbl 1479.05210 Complex Anal. Oper. Theory 13, No. 3, 1401-1417 (2019). MSC: 05C50 05C63 35J10 81Q35 34L40 PDFBibTeX XMLCite \textit{Z. Medini}, Complex Anal. Oper. Theory 13, No. 3, 1401--1417 (2019; Zbl 1479.05210) Full Text: DOI
Chen, Wei-Kuo; Gamarnik, David; Panchenko, Dmitry; Rahman, Mustazee Suboptimality of local algorithms for a class of max-cut problems. (English) Zbl 1466.60200 Ann. Probab. 47, No. 3, 1587-1618 (2019). MSC: 60K35 05C80 60G15 60F10 68W20 82B44 PDFBibTeX XMLCite \textit{W.-K. Chen} et al., Ann. Probab. 47, No. 3, 1587--1618 (2019; Zbl 1466.60200) Full Text: DOI arXiv Euclid
Korotyaev, E.; Saburova, N. Spectral estimates for Schrödinger operators on periodic discrete graphs. (English. Russian original) Zbl 1428.35653 St. Petersbg. Math. J. 30, No. 4, 667-698 (2019); translation from Algebra Anal. 30, No. 4, 61-106 (2018). MSC: 35R02 47A10 05C50 35J10 PDFBibTeX XMLCite \textit{E. Korotyaev} and \textit{N. Saburova}, St. Petersbg. Math. J. 30, No. 4, 667--698 (2019; Zbl 1428.35653); translation from Algebra Anal. 30, No. 4, 61--106 (2018) Full Text: DOI arXiv