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Essential spectrum and Weyl asymptotics for discrete Laplacians

 Michel Bonnefont , Sylvain Golenia
2014
Pré-publication, Document de travail hal-01010730v1

The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs

 Sylvain Golénia , Christoph Schumacher
Journal of Mathematical Physics, 2011, J. Math. Phys. 52 (2011), no. 6, 063512, 17 pp
Article dans une revue hal-00542684v1

Compact Perturbations and Stability of the Essential Spectrum of Singular Differential Operators

 V. Georgescu , S. Golénia
2006
Autre publication scientifique hal-00096890v1
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Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians

 Sylvain Golenia
Journal of Functional Analysis, 2014, pp.Funct. Anal. 266 (2014), no. 5, 2662-2688
Article dans une revue hal-00598054v4
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On the instability of eigenvalues

 Sylvain Golenia
Geometry--Exploratory Workshop on Differential Geometry and its Applications, 2009, Romania. 71-75, Cluj Univ. Press, Cluj-Napoca
Communication dans un congrès hal-00552181v1
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The closed knight tour problem in higher dimensions

 Bruno Golenia , Sylvain Golenia , Joshua Erde
The Electronic Journal of Combinatorics, 2012, pp.Volume 19, Issue 4
Article dans une revue hal-00673397v3
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THE ADJACENCY MATRIX AND THE DISCRETE LAPLACIAN ACTING ON FORMS

 Hatem Baloudi , Sylvain Golenia , Aref Jeribi
2015
Pré-publication, Document de travail hal-01148783v1
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Spectral analysis of the Laplacian acting on discrete cusps and funnels

 Nassim Athmouni , Marwa Ennaceur , Sylvain Golenia
Complex Analysis and Operator Theory, 2020, ⟨10.1007/s11785-020-01053-8⟩
Article dans une revue hal-02000996v2
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On the a.c. spectrum of 1D discrete Dirac operator

 Sylvain Golenia , Tristan Haugomat
2014
Pré-publication, Document de travail hal-00717811v2
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Limiting absorption principle for discrete Schrödinger operators with a Wigner-von Neumann potential and a slowly decaying potential

 Sylvain Golenia , Marc-Adrien Mandich
Annales Henri Poincaré, 2021, 22 (1), pp.83-120. ⟨10.1007/s00023-020-00971-9⟩
Article dans une revue hal-02474104v2
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Algebraic methods in the spectral analysis of operators acting on graphs and manifolds

 Sylvain Golenia
Mathematics [math]. Université de Cergy Pontoise, 2004. English. ⟨NNT : ⟩
Thèse tel-00008539v1
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EIGENVALUE ASYMPTOTICS AND UNIQUE CONTINUATION OF EIGENFUNCTIONS ON PLANAR GRAPHS

 Michel Bonnefont , Sylvain Golenia , Matthias Keller
2021
Pré-publication, Document de travail hal-03191868v1

C*-algebras of anisotropic Schrödinger operators on trees

 S. Golénia
Annales Henri Poincaré, 2004, 5 (6), pp.1097--1115
Article dans une revue hal-00194590v1
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The magnetic Laplacian acting on discrete cusps

 Sylvain Golénia , Francoise Truc
Documenta Mathematica, 2017, 22, pp.1709-1727. ⟨10.25537/dm.2017v22.1709-1727⟩
Article dans une revue hal-01174771v3
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Weighted Mourre's commutator theory, application to Schrödinger operators with oscillating potential

 Sylvain Golenia , Thierry Jecko
Journal of Operator Theory, 2013, 1, J. Operator Theory 70 (2013), no. 1, 109-144. ⟨10.7900/jot.2011may06.1922⟩
Article dans une revue hal-00542694v3
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Propagation estimates in the one-commutator theory

 Sylvain Golenia , Marc-Adrien Mandich
2017
Pré-publication, Document de travail hal-01494284v3
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Bands of pure a.c. spectrum for lattice Schr{\"o}dinger operators with a more general long range condition. Part I

 Sylvain Golenia , Marc Adrien Mandich
2021
Pré-publication, Document de travail hal-03118830v1
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LIMITING ABSORPTION PRINCIPLE FOR LONG-RANGE PERTURBATION IN THE DISCRETE TRIANGULAR LATTICE SETTING

 Nassim Athmouni , Marwa Ennaceur , Sylvain Golenia , Amel Jadlaoui
2024
Pré-publication, Document de travail hal-04496633v1

Isometries, Fock spaces, and spectral analysis of Schroedinger operators on trees.

 V. Georgescu , S. Golénia
Journal of Functional Analysis, 2005, 227, pp.389-429
Article dans une revue hal-00096151v1
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On the uniqueness of solutions for the Fubuki game

 Sylvain Golenia
2013
Pré-publication, Document de travail hal-00860158v1
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Commutator, spectral analysis and application

 Sylvain Golenia
Mathematical Physics [math-ph]. Université Sciences et Technologies - Bordeaux I, 2012
HDR tel-00950079v1
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Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies

 Nabile Boussaid , Sylvain Golénia
2009
Pré-publication, Document de travail hal-00392422v1
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THE ESSENTIAL SPECTRUM OF THE DISCRETE LAPLACIAN ON KLAUS-SPARSE GRAPHS

 Sylvain Golenia , Françoise Truc
2020
Pré-publication, Document de travail hal-02519206v1
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Erratum: ''The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs

 Sylvain Golenia , Christoph Schumacher
Journal of Mathematical Physics, 2013, J. Math. Phys. 54 (2013), no. 6, 064101, 4 pp
Article dans une revue hal-00717815v4
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ON THE ABSOLUTE CONTINUOUS SPECTRUM OF DISCRETE OPERATORS

 Sylvain Golenia
Master. Théorie spectrale des graphes et des variétés, Kairouan, Tunisia. 2016, pp.56
Cours cel-01484506v1
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Eigenvalue asymptotics for Schrödinger operators on sparse graphs

 Michel Bonnefont , Sylvain Golenia , Matthias Keller
2014
Pré-publication, Document de travail hal-00910384v2
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A new look at Mourre's commutator theory

 Sylvain Golénia , Thierry Jecko
Complex Analysis and Operator Theory, 2007, 1 (3), pp.399-422. ⟨10.1007/s11785-007-0011-4⟩
Article dans une revue hal-00368976v1
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