Sylvain Golenia

Publications

Pré-publication, Document de travail (13)

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
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
Spectral analysis of The magnetic Laplacian acting on discrete funnels Nassim Athmouni,Marwa Ennaceur,Sylvain Golénia 2025 Pré-publication, Document de travail hal-05147792v1
EIGENVALUE ASYMPTOTICS AND UNIQUE CONTINUATION OF EIGENFUNCTIONS ON PLANAR GRAPHS Michel Bonnefont,Sylvain Golenia,Matthias Keller 2021 Pré-publication, Document de travail hal-03191868v1
Bands of pure a.c. spectrum for lattice Schr{\&quot;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
THE ESSENTIAL SPECTRUM OF THE DISCRETE LAPLACIAN ON KLAUS-SPARSE GRAPHS Sylvain Golenia,Françoise Truc 2020 Pré-publication, Document de travail hal-02519206v1
Propagation estimates in the one-commutator theory Sylvain Golenia,Marc-Adrien Mandich 2017 Pré-publication, Document de travail hal-01494284v3
THE ADJACENCY MATRIX AND THE DISCRETE LAPLACIAN ACTING ON FORMS Hatem Baloudi,Sylvain Golenia,Aref Jeribi 2015 Pré-publication, Document de travail hal-01148783v1
On the a.c. spectrum of 1D discrete Dirac operator Sylvain Golenia,Tristan Haugomat 2014 Pré-publication, Document de travail hal-00717811v2
Essential spectrum and Weyl asymptotics for discrete Laplacians Michel Bonnefont,Sylvain Golenia 2014 Pré-publication, Document de travail hal-01010730v1
Eigenvalue asymptotics for Schrödinger operators on sparse graphs Michel Bonnefont,Sylvain Golenia,Matthias Keller 2014 Pré-publication, Document de travail hal-00910384v2
On the uniqueness of solutions for the Fubuki game Sylvain Golenia 2013 Pré-publication, Document de travail hal-00860158v1
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

Article dans une revue (11)

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
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
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
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
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
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
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
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

Cours (1)

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

HDR (1)

Commutator, spectral analysis and application Sylvain Golenia Mathematical Physics [math-ph]. Université Sciences et Technologies - Bordeaux I, 2012 HDR tel-00950079v1

Communication dans un congrès (1)

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

Autre publication scientifique (1)

Compact Perturbations and Stability of the Essential Spectrum of Singular Differential Operators V. Georgescu,S. Golénia 2006 Autre publication scientifique hal-00096890v1

Thèse (1)

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