Edit Profile (opens in new tab) Golénia, Sylvain Co-Author Distance Author ID: golenia.sylvain Published as: Golénia, Sylvain; Golénia, S. External Links: MGP Documents Indexed: 34 Publications since 2004, including 7 Additional arXiv Preprints Reviewing Activity: 10 Reviews Co-Authors: 19 Co-Authors with 27 Joint Publications 322 Co-Co-Authors all top 5 Co-Authors 7 single-authored 5 Mandich, Marc-Adrien 4 Bonnefont, Michel 3 Georgescu, Vladimir 3 Keller, Matthias 3 Moroianu, Sergiu 2 Athmouni, Nassim 2 Ennaceur, Marwa 2 Jecko, Thierry 2 Schumacher, Christoph 2 Truc, Françoise 1 Baloudi, Hatem 1 Boussaid, Nabile 1 Erde, Joshua 1 Golénia, Bruno 1 Haugomat, Tristan 1 Jadlaoui, Amel 1 Jeribi, Aref 1 Liu, Shiping 1 Münch, Florentin all top 5 Serials 4 Annales Henri Poincaré 3 Journal of Mathematical Physics 3 Journal of Functional Analysis 2 Journal of Operator Theory 2 Mathematical Physics, Analysis and Geometry 2 Complex Analysis and Operator Theory 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Annales de l’Institut Fourier 1 Integral Equations and Operator Theory 1 Transactions of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 The Electronic Journal of Combinatorics 1 Documenta Mathematica 1 Methods of Functional Analysis and Topology all top 5 Fields 21 Quantum theory (81-XX) 20 Operator theory (47-XX) 9 Combinatorics (05-XX) 9 Partial differential equations (35-XX) 6 Difference and functional equations (39-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Functional analysis (46-XX) 2 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 227 times in 133 Documents Cited by ▼ Year ▼ Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians. Zbl 1292.35300 Golénia, Sylvain 26 2014 A new look at Mourre’s commutator theory. Zbl 1167.47010 Golénia, Sylvain; Jecko, Thierry 22 2007 Isometries, Fock spaces, and spectral analysis of Schrödinger operators on trees. Zbl 1106.47006 Georgescu, V.; Golénia, S. 21 2005 The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs. Zbl 1317.81129 Golénia, Sylvain; Schumacher, Christoph 20 2011 Spectral analysis of magnetic Laplacians on conformally cusp manifolds. Zbl 1134.58009 Golénia, Sylvain; Moroianu, Sergiu 17 2008 Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies. Zbl 1205.81084 Boussaid, Nabile; Golénia, Sylvain 14 2010 Unboundedness of adjacency matrices of locally finite graphs. Zbl 1234.05151 Golénia, Sylvain 12 2010 Essential spectrum and Weyl asymptotics for discrete Laplacians. Zbl 1342.81142 Bonnefont, Michel; Golénia, Sylvain 11 2015 Eigenvalue asymptotics for Schrödinger operators on sparse graphs. (Asymptotique des valeurs propres pour les opérateurs de Schrödinger agissant sur des graphes éparses.) Zbl 1336.47034 Bonnefont, Michel; Golénia, Sylvain; Keller, Matthias 10 2015 Positive commutators, Fermi golden rule and the spectrum of zero temperature Pauli-Fierz Hamiltonians. Zbl 1166.81017 Golénia, Sylvain 9 2009 On the a.c. spectrum of the 1D discrete Dirac operator. Zbl 1324.47066 Golénia, Sylvain; Haugomat, Tristan 9 2014 Weighted Mourre’s commutator theory, application to Schrödinger operators with oscillating potential. Zbl 1289.47022 Golénia, Sylvain; Jecko, Thierry 9 2013 Magnetic-sparseness and Schrödinger operators on graphs. Zbl 1444.81018 Bonnefont, Michel; Golénia, Sylvain; Keller, Matthias; Liu, Shiping; Münch, Florentin 8 2020 The spectrum of Schrödinger operators and Hodge Laplacians on conformally cusp manifolds. Zbl 1239.58021 Golénia, Sylvain; Moroianu, Sergiu 6 2012 \(C^*\)-algebras of anisotropic Schrödinger operators on trees. Zbl 1068.81022 Golénia, Sylvain 6 2004 Compact perturbations and stability of the essential spectrum of singular differential operators. Zbl 1164.47005 Georgescu, V.; Golénia, S. 6 2008 The adjacency matrix and the discrete Laplacian acting on forms. Zbl 1411.81095 Baloudi, Hatem; Golénia, Sylvain; Jeribi, Aref 6 2019 The closed knight tour problem in higher dimensions. Zbl 1266.05078 Erde, Joshua; Golénia, Bruno; Golénia, Sylvain 5 2012 The magnetic Laplacian acting on discrete cusps. Zbl 1441.05136 Golénia, Sylvain; Truc, Françoise 4 2017 Limiting absorption principle for discrete Schrödinger operators with a Wigner-von Neumann potential and a slowly decaying potential. Zbl 1457.81042 Golénia, Sylvain; Mandich, Marc-Adrien 2 2021 Propagation estimates for one commutator regularity. Zbl 1405.81034 Golénia, Sylvain; Mandich, Marc-Adrien 2 2018 Comment on ”The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs” [J. math. phys.52, 063512 (2011)]. Zbl 1282.81093 Golénia, Sylvain; Schumacher, Christoph 1 2013 The essential spectrum of the discrete Laplacian on Klaus-sparse graphs. Zbl 1456.05106 Golénia, Sylvain; Truc, Françoise 1 2020 Limiting absorption principle for discrete Schrödinger operators with a Wigner-von Neumann potential and a slowly decaying potential. Zbl 1457.81042 Golénia, Sylvain; Mandich, Marc-Adrien 2 2021 Magnetic-sparseness and Schrödinger operators on graphs. Zbl 1444.81018 Bonnefont, Michel; Golénia, Sylvain; Keller, Matthias; Liu, Shiping; Münch, Florentin 8 2020 The essential spectrum of the discrete Laplacian on Klaus-sparse graphs. Zbl 1456.05106 Golénia, Sylvain; Truc, Françoise 1 2020 The adjacency matrix and the discrete Laplacian acting on forms. Zbl 1411.81095 Baloudi, Hatem; Golénia, Sylvain; Jeribi, Aref 6 2019 Propagation estimates for one commutator regularity. Zbl 1405.81034 Golénia, Sylvain; Mandich, Marc-Adrien 2 2018 The magnetic Laplacian acting on discrete cusps. Zbl 1441.05136 Golénia, Sylvain; Truc, Françoise 4 2017 Essential spectrum and Weyl asymptotics for discrete Laplacians. Zbl 1342.81142 Bonnefont, Michel; Golénia, Sylvain 11 2015 Eigenvalue asymptotics for Schrödinger operators on sparse graphs. (Asymptotique des valeurs propres pour les opérateurs de Schrödinger agissant sur des graphes éparses.) Zbl 1336.47034 Bonnefont, Michel; Golénia, Sylvain; Keller, Matthias 10 2015 Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians. Zbl 1292.35300 Golénia, Sylvain 26 2014 On the a.c. spectrum of the 1D discrete Dirac operator. Zbl 1324.47066 Golénia, Sylvain; Haugomat, Tristan 9 2014 Weighted Mourre’s commutator theory, application to Schrödinger operators with oscillating potential. Zbl 1289.47022 Golénia, Sylvain; Jecko, Thierry 9 2013 Comment on ”The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs” [J. math. phys.52, 063512 (2011)]. Zbl 1282.81093 Golénia, Sylvain; Schumacher, Christoph 1 2013 The spectrum of Schrödinger operators and Hodge Laplacians on conformally cusp manifolds. Zbl 1239.58021 Golénia, Sylvain; Moroianu, Sergiu 6 2012 The closed knight tour problem in higher dimensions. Zbl 1266.05078 Erde, Joshua; Golénia, Bruno; Golénia, Sylvain 5 2012 The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs. Zbl 1317.81129 Golénia, Sylvain; Schumacher, Christoph 20 2011 Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies. Zbl 1205.81084 Boussaid, Nabile; Golénia, Sylvain 14 2010 Unboundedness of adjacency matrices of locally finite graphs. Zbl 1234.05151 Golénia, Sylvain 12 2010 Positive commutators, Fermi golden rule and the spectrum of zero temperature Pauli-Fierz Hamiltonians. Zbl 1166.81017 Golénia, Sylvain 9 2009 Spectral analysis of magnetic Laplacians on conformally cusp manifolds. Zbl 1134.58009 Golénia, Sylvain; Moroianu, Sergiu 17 2008 Compact perturbations and stability of the essential spectrum of singular differential operators. Zbl 1164.47005 Georgescu, V.; Golénia, S. 6 2008 A new look at Mourre’s commutator theory. Zbl 1167.47010 Golénia, Sylvain; Jecko, Thierry 22 2007 Isometries, Fock spaces, and spectral analysis of Schrödinger operators on trees. Zbl 1106.47006 Georgescu, V.; Golénia, S. 21 2005 \(C^*\)-algebras of anisotropic Schrödinger operators on trees. Zbl 1068.81022 Golénia, Sylvain 6 2004 all cited Publications top 5 cited Publications all top 5 Cited by 179 Authors 16 Golénia, Sylvain 16 Keller, Matthias 7 Truc, Françoise 6 Faupin, Jérémy 6 Milatovic, Ognjen 5 Georgescu, Vladimir 5 Mandich, Marc-Adrien 5 Richard, Serge 4 Baloudi, Hatem 4 Denisov, Sergey A. 4 Liu, Shiping 4 Møller, Jacob Schach 4 Tiedra de Aldecoa, Rafael 3 Barbaroux, Jean-Marie 3 Bonnefont, Michel 3 Bourget, Olivier 3 Erdoğan, Mehmet Burak 3 Green, William R. 3 Guillot, Jean-Claude 3 Güneysu, Batu 3 Jeribi, Aref 3 Skibsted, Erik 3 Soffer, Avraham 3 Torki-Hamza, Nabila 3 Wojciechowski, Radosław Krzysztof 3 Yattselev, Maxim L. 2 Adachi, Tadayoshi 2 Anné, Colette 2 Aptekarev, Alexander Ivanovich 2 Athmouni, Nassim 2 Baalal, Azeddine 2 Belgacem, Sayda 2 Boussaid, Nabile 2 Bullington, Grady D. 2 Chebbi, Yassin 2 de Oliveira, César R. 2 Eliaz, Latif 2 Ennaceur, Marwa 2 Eroh, Linda L. 2 Hatim, Khalid 2 Morame, Abderemane 2 Moroianu, Sergiu 2 Münch, Florentin 2 Parra, Daniel 2 Peyerimhoff, Norbert 2 Pogorzelski, Felix 2 Post, Olaf 2 Prado, Roberto A. 2 Prandi, Dario 2 Schumacher, Christoph 2 Schwarz, Michael Stefan 2 Taarabt, Amal 2 Winters, Steven J. 1 Aschbacher, Walter H. 1 Astaburuaga, María Angélica 1 Balti, Marwa 1 Baskin, Dean 1 Beckus, Siegfried 1 Belolipetskaia, Anna G. 1 Ben-Artzi, Matania 1 Berchio, Elvise 1 Besa, Juan Jose 1 Bony, Jean-François 1 Bordenave, Charles 1 Boscain, Ugo 1 Breuer, Jonathan 1 Cano García, Leonardo Arturo 1 Carey, Alan L. 1 Carvalho, Silas L. 1 Cassano, Biagio 1 Chandler-Wilde, Simon N. 1 Chitour, Yacine 1 Colin de Verdière, Yves 1 Comech, Andrew 1 Cortés, Víctor H. 1 Costa, Simone A. 1 Dalai, Marco 1 Damak, Mondher 1 Davies, Edward Brian 1 de la Peña, José Antonio 1 de Oliveira, Edmundo Capelas 1 De Roeck, Wojciech 1 Estrada, Ernesto 1 Fabila-Carrasco, John Stewart 1 Falconi, Marco 1 Feng, Hongliang 1 Fernández Bonder, Julián 1 Fischer, Florian 1 Fröhlich, Jürg Martin 1 Ge, Chuanyuan 1 Georgakopoulos, Agelos 1 Gérard, Christian 1 Gesztesy, Fritz 1 Goldberg, Michael Joseph 1 Grenier, Emmanuel 1 Gupta, Shubham 1 Haeseler, Sebastian 1 Häfner, Dietrich 1 Hatano, Naomichi 1 Hattori, Tae ...and 79 more Authors all top 5 Cited in 55 Serials 15 Journal of Functional Analysis 11 Annales Henri Poincaré 7 Communications in Mathematical Physics 7 Journal of Mathematical Analysis and Applications 6 Reviews in Mathematical Physics 6 Mathematical Physics, Analysis and Geometry 5 Journal of Mathematical Physics 5 Journal of Spectral Theory 4 Integral Equations and Operator Theory 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Calculus of Variations and Partial Differential Equations 3 Complex Analysis and Operator Theory 2 Journal d’Analyse Mathématique 2 Letters in Mathematical Physics 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Transactions of the American Mathematical Society 2 Annals of Global Analysis and Geometry 2 Linear Algebra and its Applications 2 Indagationes Mathematicae. New Series 2 Potential Analysis 2 Documenta Mathematica 2 Discrete Mathematics, Algorithms and Applications 2 Analysis and Mathematical Physics 1 Journal of Statistical Physics 1 Studia Mathematica 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Hokkaido Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Kyungpook Mathematical Journal 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Probability Theory and Related Fields 1 Communications in Partial Differential Equations 1 The Australasian Journal of Combinatorics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 The Electronic Journal of Combinatorics 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Proceedings of the Steklov Institute of Mathematics 1 São Paulo Journal of Mathematical Sciences 1 Advances in Mathematical Physics 1 Annals of Functional Analysis 1 Concrete Operators 1 Journal of Discrete Mathematics 1 Actes des Rencontres du C.I.R.M. 1 Pure and Applied Analysis 1 The Art of Discrete and Applied Mathematics all top 5 Cited in 31 Fields 66 Operator theory (47-XX) 53 Partial differential equations (35-XX) 50 Quantum theory (81-XX) 41 Combinatorics (05-XX) 20 Difference and functional equations (39-XX) 19 Global analysis, analysis on manifolds (58-XX) 10 Functional analysis (46-XX) 8 Differential geometry (53-XX) 7 Ordinary differential equations (34-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Potential theory (31-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year