The Citing articles tool gives a list of articles citing the current article. The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program . You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
M. Keller , D. Lenz
Math. Model. Nat. Phenom., 5 4 (2010) 198-224
Published online: 2010-05-12
This article has been cited by the following article(s):
82 articles
Essential self-adjointness of non-semibounded Schrödinger operators on infinite graphs
Ognjen Milatovic Indagationes Mathematicae (2026) https://doi.org/10.1016/j.indag.2026.01.005
Eigenvalue asymptotics and unique continuation of eigenfunctions on planar graphs
Michel Bonnefont, Sylvain Golénia and Matthias Keller Annales de l'Institut Fourier 75 (4) 1753 (2025) https://doi.org/10.5802/aif.3695
Agmon estimates for Schrödinger operators on graphs
Matthias Keller and Felix Pogorzelski Journal d'Analyse Mathématique 157 (1) 171 (2025) https://doi.org/10.1007/s11854-025-0393-0
Remarks on Lagrange multiplier approach to Kazdan-Warner equations on a finite graph
Daniel Corral and David Costa Journal of Mathematical Analysis and Applications 545 (2) 129096 (2025) https://doi.org/10.1016/j.jmaa.2024.129096
Sobolev-type inequalities and eigenvalue growth on graphs with finite measure
Bobo Hua, Matthias Keller, Michael Schwarz and Melchior Wirth Proceedings of the American Mathematical Society (2023) https://doi.org/10.1090/proc/14361
Non-negative Ollivier curvature on graphs, reverse Poincaré inequality, Buser inequality, Liouville property, Harnack inequality and eigenvalue estimates
Florentin Münch Journal de Mathématiques Pures et Appliquées 170 231 (2023) https://doi.org/10.1016/j.matpur.2022.12.007
CDE’ Inequality on Graphs with Unbounded Laplacian
Desheng Hong and Chao Gong Mathematics 11 (9) 2138 (2023) https://doi.org/10.3390/math11092138
On Persson’s formula: an étale groupoid approach
Marius Măntoiu Israel Journal of Mathematics 249 (2) 899 (2022) https://doi.org/10.1007/s11856-022-2329-z
A note on Neumann problems on graphs
Michael Hinz and Michael Schwarz Positivity 26 (4) (2022) https://doi.org/10.1007/s11117-022-00930-0
Hemivariational inequalities on graphs
Nouhayla Ait Oussaid, Khalid Akhlil, Sultana Ben Aadi, Mourad El Ouali and Anand Srivastav Computational and Applied Mathematics 41 (4) (2022) https://doi.org/10.1007/s40314-022-01881-8
A Glazman–Povzner–Wienholtz theorem on graphs
Aleksey Kostenko, Mark Malamud and Noema Nicolussi Advances in Mathematics 395 108158 (2022) https://doi.org/10.1016/j.aim.2021.108158
Spectral theory of Jacobi matrices on trees whose coefficients are generated by multiple orthogonality
Sergey A. Denisov and Maxim L. Yattselev Advances in Mathematics 396 108114 (2022) https://doi.org/10.1016/j.aim.2021.108114
Nouhayla Ait Oussaid, Mourad El Ouali, Sultana Ben Aadi, Khalid Akhlil and Salma Gaou 1 (2022) https://doi.org/10.1109/ICOA55659.2022.9934531
Stochastic Completeness of Graphs: Bounded Laplacians, Intrinsic Metrics, Volume Growth and Curvature
Radosław K. Wojciechowski Journal of Fourier Analysis and Applications 27 (2) (2021) https://doi.org/10.1007/s00041-021-09821-6
Self-adjointness of perturbed bi-Laplacians on infinite graphs
Ognjen Milatovic Indagationes Mathematicae 32 (2) 442 (2021) https://doi.org/10.1016/j.indag.2020.12.003
Uniqueness of form extensions and domination of semigroups
Daniel Lenz, Marcel Schmidt and Melchior Wirth Journal of Functional Analysis 280 (6) 108848 (2021) https://doi.org/10.1016/j.jfa.2020.108848
Perpetual cutoff method and CDE′(K, N) condition on graphs
Yongtao Liu Frontiers of Mathematics in China 16 (3) 783 (2021) https://doi.org/10.1007/s11464-021-0943-4
Hamilton inequality for unbounded Laplacians on graphs
Yongtao Liu Differential Geometry and its Applications 76 101758 (2021) https://doi.org/10.1016/j.difgeo.2021.101758
Domination of quadratic forms
Daniel Lenz, Marcel Schmidt and Melchior Wirth Mathematische Zeitschrift 296 (1-2) 761 (2020) https://doi.org/10.1007/s00209-019-02440-4
Ultracontractive Properties for Directed Graph Semigroups with Applications to Coupled Oscillators
Jason J. Bramburger Canadian Mathematical Bulletin 63 (1) 13 (2020) https://doi.org/10.4153/S0008439519000390
A generalized conservation property for the heat semigroup on weighted manifolds
Jun Masamune and Marcel Schmidt Mathematische Annalen 377 (3-4) 1673 (2020) https://doi.org/10.1007/s00208-019-01888-3
Magnetic-Sparseness and Schrödinger Operators on Graphs
Michel Bonnefont, Sylvain Golénia, Matthias Keller, Shiping Liu and Florentin Münch Annales Henri Poincaré 21 (5) 1489 (2020) https://doi.org/10.1007/s00023-020-00885-6
Large scale Ricci curvature on graphs
Mark Kempton, Gabor Lippner and Florentin Münch Calculus of Variations and Partial Differential Equations 59 (5) (2020) https://doi.org/10.1007/s00526-020-01829-y
Spectral gap of the discrete Laplacian on triangulations
Yassin Chebbi Journal of Mathematical Physics 61 (10) (2020) https://doi.org/10.1063/1.5115778
Coverings and the heat equation on graphs: Stochastic incompleteness, the Feller property, and uniform transience
Bobo Hua, Florentin Münch and Radosław Wojciechowski Transactions of the American Mathematical Society 372 (7) 5123 (2019) https://doi.org/10.1090/tran/7856
The Adjacency Matrix and the Discrete Laplacian Acting on Forms
Hatem Baloudi, Sylvain Golénia and Aref Jeribi Mathematical Physics, Analysis and Geometry 22 (1) (2019) https://doi.org/10.1007/s11040-019-9301-0
Li-Yau inequality for unbounded Laplacian on graphs
Chao Gong, Yong Lin, Shuang Liu and Shing-Tung Yau Advances in Mathematics 357 106822 (2019) https://doi.org/10.1016/j.aim.2019.106822
Ollivier Ricci curvature for general graph Laplacians: Heat equation, Laplacian comparison, non-explosion and diameter bounds
Florentin Münch and Radosław K. Wojciechowski Advances in Mathematics 356 106759 (2019) https://doi.org/10.1016/j.aim.2019.106759
Buser's inequality on infinite graphs
Shuang Liu Journal of Mathematical Analysis and Applications 475 (2) 1416 (2019) https://doi.org/10.1016/j.jmaa.2019.03.023
Stability of infinite systems of coupled oscillators via random walks on weighted graphs
Jason Bramburger Transactions of the American Mathematical Society 372 (2) 1159 (2019) https://doi.org/10.1090/tran/7609
On the Essential Spectrum of Schrödinger Operators on Trees
Jonathan Breuer, Sergey Denisov and Latif Eliaz Mathematical Physics, Analysis and Geometry 21 (4) (2018) https://doi.org/10.1007/s11040-018-9290-4
Reaction–diffusion systems governed by non-autonomous forms
Wolfgang Arendt and Dominik Dier Journal of Differential Equations 264 (10) 6362 (2018) https://doi.org/10.1016/j.jde.2018.01.035
Spectral Theory of Infinite Quantum Graphs
Pavel Exner, Aleksey Kostenko, Mark Malamud and Hagen Neidhardt Annales Henri Poincaré 19 (11) 3457 (2018) https://doi.org/10.1007/s00023-018-0728-9
The Feller property for graphs
Radosław Wojciechowski Transactions of the American Mathematical Society 369 (6) 4415 (2017) https://doi.org/10.1090/tran/6901
Equivalent properties for CD inequalities on graphs with unbounded Laplacians
Chao Gong and Yong Lin Chinese Annals of Mathematics, Series B 38 (5) 1059 (2017) https://doi.org/10.1007/s11401-017-1022-8
Sharp Davies–Gaffney–Grigor’yan Lemma on graphs
Frank Bauer, Bobo Hua and Shing-Tung Yau Mathematische Annalen 368 (3-4) 1429 (2017) https://doi.org/10.1007/s00208-017-1529-z
Stochastic completeness for graphs with curvature dimension conditions
Bobo Hua and Yong Lin Advances in Mathematics 306 279 (2017) https://doi.org/10.1016/j.aim.2016.10.022
Path Laplacian operators and superdiffusive processes on graphs. I. One-dimensional case
Ernesto Estrada, Ehsan Hameed, Naomichi Hatano and Matthias Langer Linear Algebra and its Applications 523 307 (2017) https://doi.org/10.1016/j.laa.2017.02.027
Symmetric Pairs of Unbounded Operators in Hilbert Space, and Their Applications in Mathematical Physics
Palle E. T. Jorgensen and Erin P. J. Pearse Mathematical Physics, Analysis and Geometry 20 (2) (2017) https://doi.org/10.1007/s11040-017-9245-1
Geometry and spectrum of rapidly branching graphs
Matthias Keller, Florentin Münch and Felix Pogorzelski Mathematische Nachrichten 289 (13) 1636 (2016) https://doi.org/10.1002/mana.201400349
A Feynman–Kac–Itô formula for magnetic Schrödinger operators on graphs
Batu Güneysu, Matthias Keller and Marcel Schmidt Probability Theory and Related Fields 165 (1-2) 365 (2016) https://doi.org/10.1007/s00440-015-0633-9
Symmetric Pairs and Self-Adjoint Extensions of Operators, with Applications to Energy Networks
Palle E. T. Jorgensen and Erin P. J. Pearse Complex Analysis and Operator Theory 10 (7) 1535 (2016) https://doi.org/10.1007/s11785-015-0522-3
General Cheeger inequalities for p-Laplacians on graphs
Matthias Keller and Delio Mugnolo Nonlinear Analysis: Theory, Methods & Applications 147 80 (2016) https://doi.org/10.1016/j.na.2016.07.011
Curvature notions on graphs
Bobo Hua and Yong Lin Frontiers of Mathematics in China 11 (5) 1275 (2016) https://doi.org/10.1007/s11464-016-0578-z
Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Aref Jeribi Spectral Theory and Applications of Linear Operators and Block Operator Matrices 121 (2015) https://doi.org/10.1007/978-3-319-17566-9_4
Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Aref Jeribi Spectral Theory and Applications of Linear Operators and Block Operator Matrices 283 (2015) https://doi.org/10.1007/978-3-319-17566-9_8
Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Aref Jeribi Spectral Theory and Applications of Linear Operators and Block Operator Matrices 441 (2015) https://doi.org/10.1007/978-3-319-17566-9_13
The Gauss-Bonnet operator of an infinite graph
Colette Anné and Nabila Torki-Hamza Analysis and Mathematical Physics 5 (2) 137 (2015) https://doi.org/10.1007/s13324-014-0090-0
Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Aref Jeribi Spectral Theory and Applications of Linear Operators and Block Operator Matrices 23 (2015) https://doi.org/10.1007/978-3-319-17566-9_2
Diffusion determines the recurrent graph
Matthias Keller, Daniel Lenz, Marcel Schmidt and Melchior Wirth Advances in Mathematics 269 364 (2015) https://doi.org/10.1016/j.aim.2014.10.003
Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Aref Jeribi Spectral Theory and Applications of Linear Operators and Block Operator Matrices 1 (2015) https://doi.org/10.1007/978-3-319-17566-9_1
Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Aref Jeribi Spectral Theory and Applications of Linear Operators and Block Operator Matrices 375 (2015) https://doi.org/10.1007/978-3-319-17566-9_11
Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Aref Jeribi Spectral Theory and Applications of Linear Operators and Block Operator Matrices 139 (2015) https://doi.org/10.1007/978-3-319-17566-9_5
Mathematical Technology of Networks
Matthias Keller Springer Proceedings in Mathematics & Statistics, Mathematical Technology of Networks 128 81 (2015) https://doi.org/10.1007/978-3-319-16619-3_7
Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Aref Jeribi Spectral Theory and Applications of Linear Operators and Block Operator Matrices 173 (2015) https://doi.org/10.1007/978-3-319-17566-9_6
Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Aref Jeribi Spectral Theory and Applications of Linear Operators and Block Operator Matrices 101 (2015) https://doi.org/10.1007/978-3-319-17566-9_3
Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Aref Jeribi Spectral Theory and Applications of Linear Operators and Block Operator Matrices 309 (2015) https://doi.org/10.1007/978-3-319-17566-9_9
Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Aref Jeribi Spectral Theory and Applications of Linear Operators and Block Operator Matrices 327 (2015) https://doi.org/10.1007/978-3-319-17566-9_10
Eigenvalue asymptotics for Schrödinger operators on sparse graphs
Michel Bonnefont, Sylvain Golénia and Matthias Keller Annales de l'Institut Fourier 65 (5) 1969 (2015) https://doi.org/10.5802/aif.2979
Essential spectrum and Weyl asymptotics for discrete Laplacians
Michel Bonnefont and Sylvain Golénia Annales de la Faculté des sciences de Toulouse : Mathématiques 24 (3) 563 (2015) https://doi.org/10.5802/afst.1456
Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Aref Jeribi Spectral Theory and Applications of Linear Operators and Block Operator Matrices 193 (2015) https://doi.org/10.1007/978-3-319-17566-9_7
Spectral Theory and Applications of Linear Operators and Block Operator Matrices
Aref Jeribi Spectral Theory and Applications of Linear Operators and Block Operator Matrices 413 (2015) https://doi.org/10.1007/978-3-319-17566-9_12
Maximal Accretive Extensions of Schrödinger Operators on Vector Bundles over Infinite Graphs
Ognjen Milatovic and Françoise Truc Integral Equations and Operator Theory 81 (1) 35 (2015) https://doi.org/10.1007/s00020-014-2196-z
Volume growth and spectrum for general graph Laplacians
Matthew Folz Mathematische Zeitschrift 276 (1-2) 115 (2014) https://doi.org/10.1007/s00209-013-1189-y
Myopic models of population dynamics
on infinite networks
Robert Carlson Networks & Heterogeneous Media 9 (3) 477 (2014) https://doi.org/10.3934/nhm.2014.9.477
Generalized Schrödinger Semigroups on Infinite Graphs
Batu Güneysu, Ognjen Milatovic and Françoise Truc Potential Analysis 41 (2) 517 (2014) https://doi.org/10.1007/s11118-013-9381-6
Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory
Rupert L. Frank, Daniel Lenz and Daniel Wingert Journal of Functional Analysis 266 (8) 4765 (2014) https://doi.org/10.1016/j.jfa.2014.02.008
Semigroup Methods for Evolution Equations on Networks
Delio Mugnolo Understanding Complex Systems, Semigroup Methods for Evolution Equations on Networks 131 (2014) https://doi.org/10.1007/978-3-319-04621-1_6
A note on self-adjoint extensions of the Laplacian on weighted graphs
Xueping Huang, Matthias Keller, Jun Masamune and Radosław K. Wojciechowski Journal of Functional Analysis 265 (8) 1556 (2013) https://doi.org/10.1016/j.jfa.2013.06.004
Volume growth, spectrum and stochastic completeness of infinite graphs
Matthias Keller, Daniel Lenz and Radosław K. Wojciechowski Mathematische Zeitschrift 274 (3-4) 905 (2013) https://doi.org/10.1007/s00209-012-1101-1
Parabolic theory of the discrete -Laplace operator
Delio Mugnolo Nonlinear Analysis: Theory, Methods & Applications 87 33 (2013) https://doi.org/10.1016/j.na.2013.04.002
A Spectral Property of Discrete Schrödinger Operators with Non-Negative Potentials
Ognjen Milatovic Integral Equations and Operator Theory 76 (2) 285 (2013) https://doi.org/10.1007/s00020-013-2060-6
A discrete Gauss-Green identity for unbounded Laplace operators, and the transience of random walks
Palle E. T. Jorgensen and Erin P. J. Pearse Israel Journal of Mathematics 196 (1) 113 (2013) https://doi.org/10.1007/s11856-012-0165-2
On thelpspectrum of Laplacians on graphs
Frank Bauer, Bobo Hua and Matthias Keller Advances in Mathematics 248 717 (2013) https://doi.org/10.1016/j.aim.2013.05.029
A Sears-type self-adjointness result for discrete magnetic Schrödinger operators
Ognjen Milatovic Journal of Mathematical Analysis and Applications 396 (2) 801 (2012) https://doi.org/10.1016/j.jmaa.2012.07.028
Dirichlet to Neumann maps for infinite quantum graphs
Robert Carlson Networks and Heterogeneous Media 7 (3) 483 (2012) https://doi.org/10.3934/nhm.2012.7.483
Dirichlet forms and stochastic completeness of graphs and subgraphs
Matthias Keller and Daniel Lenz Journal für die reine und angewandte Mathematik (Crelles Journal) 2012 (666) (2012) https://doi.org/10.1515/CRELLE.2011.122
Sebastian Haeseler and Matthias Keller 64 181 (2011) https://doi.org/10.1007/978-3-0346-0244-0_10
Essential Self-adjointness for Combinatorial Schrödinger Operators II-Metrically non Complete Graphs
Yves Colin de Verdière, Nabila Torki-Hamza and Françoise Truc Mathematical Physics, Analysis and Geometry 14 (1) 21 (2011) https://doi.org/10.1007/s11040-010-9086-7
Essential Self-adjointness of Magnetic Schrödinger Operators on Locally Finite Graphs
Ognjen Milatovic Integral Equations and Operator Theory 71 (1) 13 (2011) https://doi.org/10.1007/s00020-011-1882-3
Spectral reciprocity and matrix representations of unbounded operators
Palle E.T. Jorgensen and Erin P.J. Pearse Journal of Functional Analysis 261 (3) 749 (2011) https://doi.org/10.1016/j.jfa.2011.01.016
Stochastic incompleteness for graphs and weak Omori–Yau maximum principle
Xueping Huang Journal of Mathematical Analysis and Applications 379 (2) 764 (2011) https://doi.org/10.1016/j.jmaa.2011.02.009