Sylvain Golénia

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All published works

Action	Title	Year	Authors
+	Eigenvalue asymptotics and unique continuation of eigenfunctions on planar graphs	2025	Michel Bonnefont Sylvain Golénia Matthias Keller
+ PDF Chat	LIMITING ABSORPTION PRINCIPLE FOR LONG-RANGE PERTURBATION IN THE DISCRETE TRIANGULAR LATTICE SETTING	2024	Nassim Athmouni Marwa Ennaceur Sylvain Golénia Amel Jadlaoui
+ PDF Chat	Additional numerical and graphical evidence to support some Conjectures on discrete Schr{\"o}dinger operators with a more general long range condition	2022	Sylvain Golénia Marc-Adrien Mandich
+ PDF Chat	THRESHOLDS AND MORE BANDS OF A.C. SPECTRUM FOR THE DISCRETE SCHRÖDINGER OPERATOR WITH A MORE GENERAL LONG RANGE CONDITION	2022	Sylvain Golénia Marc-Adrien Mandich
+	Additional numerical and graphical evidence to support some Conjectures on discrete Schrödinger operators with a more general long range condition	2022	Sylvain Golénia Marc-Adrien Mandich
+	Thresholds and more bands of a.c. Spectrum for the discrete Schr{ö}dinger operator with a more general long range condition	2022	Sylvain Golénia Marc-Adrien Mandich
+ PDF Chat	Bands of pure absolutely continuous spectrum for lattice Schrödinger operators with a more general long range condition	2021	Sylvain Golénia Marc-Adrien Mandich
+ PDF Chat	Bands of pure a.c. spectrum for lattice Schr{\"o}dinger operators with a more general long range condition. Part I	2021	Sylvain Golénia Marc-Adrien Mandich
+	Eigenvalue asymptotics and unique continuation of eigenfunctions on planar graphs	2021	Michel Bonnefont Sylvain Golénia Matthias Keller
+ PDF Chat	Spectral Analysis of the Laplacian Acting on Discrete Cusps and Funnels	2020	Nassim Athmouni Marwa Ennaceur Sylvain Golénia
+ PDF Chat	The Essential Spectrum of the Discrete Laplacian on Klaus-sparse Graphs	2020	Sylvain Golénia Françoise Truc
+ PDF Chat	Limiting Absorption Principle for Discrete Schrödinger Operators with a Wigner–von Neumann Potential and a Slowly Decaying Potential	2020	Sylvain Golénia Marc-Adrien Mandich
+ PDF Chat	Magnetic-Sparseness and Schrödinger Operators on Graphs	2020	Michel Bonnefont Sylvain Golénia Matthias Keller Shiping Liu Florentin Münch
+ PDF Chat	The Adjacency Matrix and the Discrete Laplacian Acting on Forms	2019	Hatem Baloudi Sylvain Golénia Aref Jeribi
+ PDF Chat	Propagation Estimates for One Commutator Regularity	2018	Sylvain Golénia Marc-Adrien Mandich
+	Magnetic sparseness and Schrödinger operators on graphs	2017	Michel Bonnefont Sylvain Golénia Matthias Keller Shiping Liu Florentin Münch
+	Magnetic sparseness and Schr\"odinger operators on graphs	2017	Michel Bonnefont Sylvain Golénia Matthias Keller Shiping Liu Florentin Münch
+ PDF Chat	Propagation estimates in the one-communicator theory	2017	Sylvain Golénia Marc-Adrien Mandich
+ PDF Chat	Propagation estimates in the one-commutator theory	2017	Sylvain Golénia Marc-Adrien Mandich
+ PDF Chat	The Magnetic Laplacian Acting on Discrete Cusps	2017	Sylvain Golénia Françoise Truc
+	Magnetic sparseness and Schrödinger operators on graphs	2017	Michel Bonnefont Sylvain Golénia Matthias Keller Shiping Liu Florentin Münch
+	ON THE ABSOLUTE CONTINUOUS SPECTRUM OF DISCRETE OPERATORS	2016	Sylvain Golénia
+ PDF Chat	Essential spectrum and Weyl asymptotics for discrete Laplacians	2015	Michel Bonnefont Sylvain Golénia
+ PDF Chat	Eigenvalue asymptotics for Schrödinger operators on sparse graphs	2015	Michel Bonnefont Sylvain Golénia Matthias Keller
+	Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians	2014	Sylvain Golénia
+ PDF Chat	Weighted Mourre's commutator theory, application to Schroedinger operators with oscillating potential	2013	Sylvain Golénia Thierry Jecko
+ PDF Chat	Comment on “The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs” [J. Math. Phys. 52, 063512 (2011)]	2013	Sylvain Golénia Christoph Schumacher
+ PDF Chat	Weighted Mourre's commutator theory, application to Schrödinger operators with oscillating potential	2013	Sylvain Golénia Thierry Jecko
+	On the uniqueness of solutions for the Fubuki game	2013	Sylvain Golénia
+ PDF Chat	Erratum: ''The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs''	2013	Sylvain Golénia Christoph Schumacher
+ PDF Chat	Commutator, spectral analysis and application	2012	Sylvain Golénia
+ PDF Chat	The Closed Knight Tour Problem in Higher Dimensions	2012	Joshua Erde Bruno Golénia Sylvain Golénia
+	On the a.c. spectrum of 1D discrete Dirac operator	2012	Sylvain Golénia Tristan Haugomat
+	The spectrum of Schrödinger operators and Hodge Laplacians on conformally cusp manifolds	2011	Sylvain Golénia Sergiu Moroianu
+	Hardy inequality and Weyl asymptotic for discrete Laplacians	2011	Sylvain Golénia
+ PDF Chat	The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs	2011	Sylvain Golénia Christoph Schumacher
+	On the instability of eigenvalues	2011	Sylvain Golénia
+	Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians	2011	Sylvain Golénia
+ PDF Chat	Limiting Absorption Principle for Some Long Range Perturbations of Dirac Systems at Threshold Energies	2010	Nabile Boussaïd Sylvain Golénia
+	The problem of deficiency indices for discrete Schr	2010	Sylvain Golénia Christoph Schumacher
+ PDF Chat	Unboundedness of Adjacency Matrices of Locally Finite Graphs	2010	Sylvain Golénia
+	Weighted Mourre's commutator theory, application to Schrödinger operators with oscillating potential	2010	Sylvain Golénia Thierry Jecko
+	Positive commutators, Fermi golden rule and the spectrum of zero temperature Pauli–Fierz Hamiltonians	2009	Sylvain Golénia
+ PDF Chat	On the instability of eigenvalues	2009	Sylvain Golénia
+ PDF Chat	Un nouveau regard sur l’estimation de Mourre	2008	Sylvain Golénia
+ PDF Chat	Spectral Analysis of Magnetic Laplacians on Conformally Cusp Manifolds	2008	Sylvain Golénia Sergiu Moroianu
+	Positive commutators, Fermi golden rule and the spectrum of zero temperature Pauli-Fierz Hamiltonians	2008	Sylvain Golénia
+	The spectrum of Schr\"odinger operators and Hodge Laplacians on conformally cusp manifolds	2007	Sylvain Golénia Sergiu Moroianu
+	The spectrum of k-form Schr\"odinger Laplacians on conformally cusp manifolds	2007	Sylvain Golénia Sergiu Moroianu
+ PDF Chat	A New Look at Mourre’s Commutator Theory	2007	Sylvain Golénia Thierry Jecko
+	The spectrum of Schrödinger operators and Hodge Laplacians on conformally cusp manifolds	2007	Sylvain Golénia Sergiu Moroianu
+	Compact Perturbations and Stability of the Essential Spectrum of Singular Differential Operators	2006	Vladimir Georgescu Sylvain Golénia
+	A new look at Mourre's commutator theory	2006	Sylvain Golénia Thierry Jecko
+	Isometries, Fock spaces, and spectral analysis of Schrödinger operators on trees	2005	Vladimir Georgescu Sylvain Golénia
+	The spectrum of magnetic Schrödinger operators and $k$-form Laplacians on conformally cusp manifolds	2005	Sylvain Golénia Sergiu Moroianu
+ PDF Chat	C*-Algebras of Anisotropic Schrödinger Operators on Trees	2004	Sylvain Golénia
+	Algebraic methods in the spectral analysis of operators acting on graphs and manifolds	2004	Sylvain Golénia
+	Decay Preserving Operators and Stability of the Essential Spectrum	2004	Vladimir Georgescu Sylvain Golénia
+	Méthodes algébriques dans l'analyse spectrale d'opérateurs sur les graphes et les variétés	2004	Sylvain Golénia

Common Coauthors

Coauthor	Papers Together
Marc-Adrien Mandich	10
Michel Bonnefont	8
Matthias Keller	7
Sergiu Moroianu	6
Thierry Jecko	5
Christoph Schumacher	4
Florentin Münch	4
Shiping Liu	4
Vladimir Georgescu	3
Nassim Athmouni	2
Françoise Truc	2
Marwa Ennaceur	2
Tristan Haugomat	1
Hatem Baloudi	1
Bruno Golénia	1
Nabile Boussaïd	1
Amel Jadlaoui	1
Aref Jeribi	1
Joshua Erde	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Absence of singular continuous spectrum for certain self-adjoint operators	1981	E. Mourre	20
+	Commutators, C0-semigroups and resolvent estimates	2004	Vladimir Georgescu Christian Gérard Jacob Schach Møller	14
+ PDF Chat	C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians	1996	Werner O. Amrein Anne Boutet de Monvel Vladimir Georgescu	13
+	On the Virial Theorem in Quantum Mechanics	1999	Vladimir Georgescu Christian Gérard	13
+ PDF Chat	Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation	2010	Matthias Keller Daniel Lenz	12
+ PDF Chat	A New Look at Mourre’s Commutator Theory	2007	Sylvain Golénia Thierry Jecko	12
+	A proof of the abstract limiting absorption principle by energy estimates	2008	Christian Gérard	11
+ PDF Chat	Spectral Analysis of Magnetic Laplacians on Conformally Cusp Manifolds	2008	Sylvain Golénia Sergiu Moroianu	10
+	Isometries, Fock spaces, and spectral analysis of Schrödinger operators on trees	2005	Vladimir Georgescu Sylvain Golénia	10
+	Decay Preserving Operators and Stability of the Essential Spectrum	2004	Vladimir Georgescu Sylvain Golénia	9
+	Stochastic Completeness of Graphs	2007	Radosław K. Wojciechowski	9
+ PDF Chat	Essential Self-adjointness for Combinatorial Schrödinger Operators II-Metrically non Complete Graphs	2010	Yves Colin de Verdìère Nabila Torki-Hamza Françoise Truc	8
+	Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians	2014	Sylvain Golénia	8
+	Scattering Theory of Classical and Quantum N-Particle Systems	1997	Jan Dereziński Christian Gérard	8
+ PDF Chat	The essential spectrum of the Laplacian on rapidly branching tessellations	2009	Matthias Keller	7
+	Multiple commutator estimates and resolvent smoothness in quantum scattering theory	1984	Arne Jensen E. Mourre Peter Perry	7
+	Exponential bounds and absence of positive eigenvalues forN-body Schr�dinger operators	1982	Richard Froese Ira Herbst	7
+	Elementary Number Theory, Group Theory and Ramanujan Graphs	2001	Giuliana P. Davidoff Peter Sarnak Alain Valette	7
+	Spectral Graph Theory	1996	Fan Chung	7
+	A MOURRE ESTIMATE FOR A SCHRÖDINGER OPERATOR ON A BINARY TREE	2000	Christine Shirley Allard Richard Froese	7
+ PDF Chat	A General Resonance Theory Based on Mourre’s Inequality	2006	Laura Cattaneo Gian Michele Graf Walter Hunziker	7
+ PDF Chat	Dirichlet forms and stochastic completeness of graphs and subgraphs	2011	Matthias Keller Daniel Lenz	7
+	ON THE SPECTRAL PROPERTIES OF DISCRETE SCHRÖDINGER OPERATORS	1999	Anne Boutet de Monvel Jaouad Sahbani	6
+ PDF Chat	Difference equations, isoperimetric inequality and transience of certain random walks	1984	Józef Dodziuk	6
+	Spectral Theory of Pauli–Fierz Operators	2001	Jan Dereziński Vojkan Jakšić	6
+ PDF Chat	REGULARITY OF BOUND STATES	2011	Jérémy Faupin Jacob Schach Møller Erik Skibsted	6
+ PDF Chat	Unboundedness of Adjacency Matrices of Locally Finite Graphs	2010	Sylvain Golénia	6
+ PDF Chat	Weighted Mourre's commutator theory, application to Schroedinger operators with oscillating potential	2013	Sylvain Golénia Thierry Jecko	6
+ PDF Chat	Limiting Absorption Principle for Some Long Range Perturbations of Dirac Systems at Threshold Energies	2010	Nabile Boussaïd Sylvain Golénia	6
+ PDF Chat	Essential self-adjointness of the graph-Laplacian	2008	Palle E. T. Jørgensen	6
+ PDF Chat	Eigenvalue asymptotics for Schrödinger operators on sparse graphs	2015	Michel Bonnefont Sylvain Golénia Matthias Keller	6
+	High-frequency limit of the Helmholtz equation with variable refraction index	2005	Xue Ping Wang Ping Zhang	5
+ PDF Chat	Minimal escape velocities	1999	Walter Hunziker Israel Michael Sigal Avy Soffer	5
+	Schrodinger Operators: With Application to Quantum Mechanics and Global Geometry	1987	Hans L. Cycon Barry Simon	5
+	A Survey on Spectra of infinite Graphs	1989	Bojan Mohar Wolfgang Woess	5
+	Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians	2006	Józef Dodziuk Varghese Mathai	5
+	Spectral analysis of second-order elliptic operators on noncompact manifolds	1989	Richard Froese Peter D. Hislop	5
+	Self-adjointness and limit pointness for adjacency operators on a tree	1989	Kazuhiko Aomoto	5
+	The Laplacian on rapidly branching trees	1996	Koji Fujiwara	5
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	5
+	A limiting absorption principle for Schr�dinger operators with Von Neumann-Wigner type potentials	1991	Allen Devinatz Richard Moeckel Peter Rejto	5
+	The quantum N-body problem	2000	Walter Hunziker Israel Michael Sigal	5
+	On the spectral theory of Dirac type hamiltonians	2001	Vladimir Georgescu Marius Măntoiu	4
+	Quantum Electrodynamics of Confined Nonrelativistic Particles	1998	Volker Bach Jürg Fröhlich Israel Michael Sigal	4
+ PDF Chat	Weyl laws on open manifolds	2007	Sergiu Moroianu	4
+ PDF Chat	Random Walks and Electric Networks	1984	Peter G. Doyle J. Laurie Snell	4
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	4
+	Pure point spectrum and negative curvature for noncompact manifolds	1979	Harold Donnelly Peter Li	4
+ PDF Chat	On the spectrum of a finite-volume negatively-curved manifold	2001	John Lott	4
+	Spectral Theory of Massless Pauli-Fierz Models	2004	Vladimir Georgescu Christian Gérard Jacob Schach Møller	4