Sylvain Golenia

29
Documents

Publications

Publications

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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

2025

Pré-publication, Document de travail hal-04496633v4
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Spectral analysis of The magnetic Laplacian acting on discrete funnels

Nassim Athmouni , Marwa Ennaceur , Sylvain Golénia

2025

Pré-publication, Document de travail hal-05147792v1
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Limiting absorption principle for long-range perturbation in a graphene setting

Nassim Athmouni , Marwa Ennaceur , Sylvain Golenia , Amel Jadlaoui

2025

Pré-publication, Document de travail hal-05038643v2
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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
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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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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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Propagation estimates in the one-commutator theory

Sylvain Golenia , Marc-Adrien Mandich

2017

Pré-publication, Document de travail hal-01494284v3
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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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Essential spectrum and Weyl asymptotics for discrete Laplacians

Michel Bonnefont , Sylvain Golenia

2014

Pré-publication, Document de travail hal-01010730v1
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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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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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On the uniqueness of solutions for the Fubuki game

Sylvain Golenia

2013

Pré-publication, Document de travail hal-00860158v1
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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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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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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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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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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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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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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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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

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
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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

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

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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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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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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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