Collaborators:
- Hatem Baloudi
- Michel Bonnefont
- Nabile Boussaid
- Joshua Erde
- Vladimir Georgescu
- Bruno Golénia
- Tristan Haugomat
- Thierry
Jecko
- Aref Jeribi
- Matthias Keller
- Shiping Liu
- Marc-Adrien Mandich
- Sergiu
Moroianu
- Florentin Münch
- Christoph Schumacher
- Françoise Truc
Articles:
- M. Bonnefont, S. Golénia, M. Keller, S. Liu, and F. Münch: Magnetic sparseness and Schrödinger operators on graphs. Soumis. Preprint on the arXiv.
- S. Golénia and Marc-Adrien Mandich: Propagation estimates in the one-communicator theory. Submitted. Preprint on the arXiv.
- S. Golénia and F. Truc: The magnetic Laplacian acting on discrete cusps, Documenta Mathematica, 22, (2017), pp 1709-1727. Preprint on the arXiv.
- H. Baloudi, S. Golénia, and A. Jeribi: The adjacency matrix and the discrete Laplacian acting on forms. Submitted. Preprint on the arXiv.
- M. Bonnefont and S. Golénia: Essential spectrum and Weyl asymptotics for discrete Laplacians, Ann. Fac. Sci. Toulouse Math. (6) 24 (2015), no. 3, 563-624. Preprint on the arXiv.
- M. Bonnefont, S. Golénia, and M. Keller: Eigenvalue asymptotics for Schrödinger operators on sparse graphs. Ann. Inst. Fourier (Grenoble) 65 (2015), no. 5, 1969-1998. Preprint in pdf.
- S. Golénia: On the uniqueness of solutions for the Fubuki game. Preprint in pdf.
- S. Golénia and T. Haugomat: On the a.c. spectrum of 1D discrete Dirac operator. Methods Funct. Anal. Topology 20 (2014), no. 3, 252-273. Preprint in pdf.
- S. Golénia and C. Schumacher: Comment: ``The problem of deficiency indices for discrete
Schrödinger operators on locally finite graphs''
[J. Math. Phys. (52), 063512 (2011)]. J. Math. Phys. 54 (2013), no. 6, 064101, 4 pages. Preprint
in pdf.
- J. Erde, B. Golénia, and S. Golénia : The closed
knight tour problem in higher dimensions.Electronic Journal of
Combinatorics Volume 19, Issue 4 (2012). Preprint in
pdf.
- S. Golénia: Hardy inequality and Weyl asymptotic for
discrete Laplacians. To appear in Journal of Functional
Analysis. Preprint in pdf.
- S. Golénia and T. Jecko: Rescaled Mourre's commutator
theory, application to Schrödinger operators with
oscillating potential. To appear in J. Operator
Theory. Preprint in pdf.
- S. Golénia and C. Schumacher : The problem of
deficiency indices for discrete Schrödinger operators
on locally finite graphs. J. Math. Phys. 52 (2011), no. 6,
063512, 17 pp. Preprint in pdf.
- S. Golénia: Unboundedness of adjacency matrices of locally
finite graphs. Lett. Math. Phys. 93 (2010), no. 2, 127-140. Preprint in pdf.
- N. Boussaid and S. Golénia: Limiting absorption principle
for some long range perturbations of Dirac systems at threshold
energies. Comm. Math. Phys. 299 (2010), no. 3, 677-708. Preprint in pdf.
- S. Golénia: Positive commutators, Fermi golden rule and the
spectrum of the zero temperature Pauli-Fierz hamiltonians.
Journal of Functional Analysis, Volume 256, Issue 8, April 2009,
Pages 2587-2620. Preprint
in pdf.
- S. Golénia and S. Moroianu: The spectrum of
Schrödinger operators
and Hodge Laplacians on conformally cusp
manifolds. Trans. Amer. Math. Soc. 364 (2012), no. 1,
1-29. Preprint in pdf.
- S. Golénia and S. Moroianu: Spectral analysis of magnetic
Laplacians on conformally cusp manifolds.
Annales Henri Poincaré, Volume 9, Number 1, February 2008, Pages
131-179. Preprint in pdf.
- S. Golénia and T. Jecko: A new look at Mourre's commutator
theory. Complex Analysis and Operator Theory 1, No. 3, 399-422
(2007). Preprint in pdf.
- V. Georgescu and S. Golénia: Decay Preserving Operators and
stability of the essential spectrum, Journal of Operator Theory
59, No. 1, 115-155 (2008). Preprint in pdf.
- V. Georgescu and S. Golénia: Isometries, Fock spaces and
spectral analysis of Schrödinger operators on trees, Journal of
Functional Analysis 227 (2005), 389-429. Preprint
in pdf.
- S. Golénia: C*-algebra of anisotropic Schrödinger operators
on trees, Annales Henri Poincaré, volume 5, number 6, December
2004, pages 1097 - 1115. Preprint in pdf.
Proceedings and others:
- S. Golénia: On the instability of
eigenvalues. Geometry-Exploratory Workshop on Differential Geometry
and its Applications, 71-75, Cluj Univ. Press, Cluj-Napoca, 2011.
Preprint in pdf.
- S. Golénia: Un nouveau regard sur l'estimation de
Mourre. Proceeding "23 emes Journées Equations aux dérivées
partielles" (Ex Journées Saint Jean de Monts) in Evian
(France). Preprint in pdf.
- V. Georgescu and S. Golénia: Quasilocal operators and stability
of essential spectrum (PhD thesis version of Decay Preserving
Operators and stability of the essential spectrum). Preprint
in pdf.
Phd-thesis:
- Habilitation: Commutators, spectral theory, and applications. File in pdf.
- PhD thesis: Méthodes algébriques dans l'analyse spectrale
d'opérateurs sur les graphes et les variétés (Algebraic methods in
the spectral analysis of operators acting on graphs and
manifolds). File in pdf.
Master thesis:
- The stability of the spectrum of elliptic operators in Lp(Rn).
