Hakim BOUMAZA

Publications

[14] H. Boumaza et S. Zalczer, Localization for quasi-one-dimensional Dirac models, to appear in Annales Henri Poincaré, arXiv:2403.15381, hal-04520883 

[13] H. Boumaza, A. Khouildi, Dynamical localization for random scattering zippers, Lett Math Phys 115, 64 (2025), https://doi.org/10.1007/s11005-025-01952-x Article

[12] H. Boumaza, Localization for quasi-one-dimensional disordered systems, J. Math. Phys. 64, 091101 (2023), https://doi.org/10.1063/5.0156242 Article

[11] H. Boumaza, O. Lafitte, Integrated density of states: from the finite range to the periodic Airy-Schrödinger operator, J. Math. Phys. 62, 043503 (2021), https://doi.org/10.1063/5.0015181 Article

[10] H. Boumaza et O. Lafitte, The band spectrum of the periodic Airy-Schrödinger operator on the real line, J. Differential Equations, 264(1), 455-505 (2018), DOI:10.1016/j.jde.2017.09.013 Article

[9] H. Boumaza et H. Najar, Lifshitz Tails for matrix-valued Anderson models, J. Stat. Phys, 160(2), 371-396 (2015), DOI:10.1007/s10955-015-1255-4 Article

[8] H. Boumaza et L. Marin, Absence of absolutely continuous spectrum for random scattering zippers, J. Math. Phys., 56 (2015), DOI:10.1063/1.4906809. http://hal.archives-ouvertes.fr/hal-00800028 Article

[7] H. Boumaza, Localization for an Anderson-Bernoulli model with generic interaction potential, Tohoku Math. J. 65 (2013) , arXiv:1006.2286 Article

[6] H. Boumaza, Absence de spectre absolument continu pour un opérateur d’Anderson ŕ potentiel d’interaction générique, C. R. Acad. Sci. Paris, Ser. I 348, 175-179 (2010), DOI:10.1016/j.crma.2010.01.03, arXiv:1002.3440

[5] H. Boumaza, Localization for a matrix-valued Anderson model, Math. Phys. Anal. Geom. 12(3), 255-286 (2009), DOI:10.1007/s11040-009-9061-3, arXiv:0902:1628 Article

[4] H. Boumaza, A matrix-valued point-interactions model, Lett. Math. Phys. 87(1), 81-97(2009), DOI:10.1007/s11005-008-0289-9, arXiv:0809.3298 Article

[3] H. Boumaza, Hölder continuity of the integrated density of states for matrix-valued Anderson models, Rev. Math. Phys. 20(7), 873-900 (2008), DOI:10.1142/S0129055X08003456, arXiv:0711.3889 Article

[2] H. Boumaza, Positivity of Lyapunov exponents for a continuous matrix-valued Anderson model, Math. Phys. Anal. Geom. 10 (2), 97-122 (2007), DOI:10.1007/s11040-007-9023-6, arXiv:math-ph/0703060

[1] H. Boumaza, G. Stolz, Positivity of Lyapunov exponents for Anderson-type models on two coupled strings, Elec. J. Diff. Eq. 2007 (47), 1-18  (2007), arXiv:math-ph/0611001

Refereed Conference Papers

[2] H. Boumaza, O. Lafitte, Description of the spectral bands for some 2D periodic Schrödinger operators, Proceedings of the International Conference Days on Diffraction 2016, St-Petersbourg, Russia, IEEE, 79-83 (2016)

[1] H. Boumaza et O. Lafitte, An exactly solvable non C1 periodic potential, Proceedings of the International Conference Days on Diffraction 2015, St-Petersbourg, Russia, IEEE, 62-66 (2015), DOI:10.1109/DD.2015.7354833

Preprints

[1] H. Boumaza et O. Lafitte, Analytic expression of the DOS for a new model of 1d-potential and its random perturbation, arXiv:2403.14453 [math-ph],  hal-04518643

Article for the general public

[1] H. Boumaza, Désordre dans les cristaux et localization d’Anderson, INSMI Website, for the "Year of Cristallography". http://www.cnrs.fr/insmi/spip.php?article992


Habilitation Thesis

Title : Opérateurs unidimensionnels et quasi-unidimensionnels en mécanique quantique. (pdf)

Defended in 2023, February the 21st at Université Sorbonne Paris Nord.

Ph.D. Thesis

Title : Lyapunov exponents and integrated density of states for matrix-valued continuous Schrödinger operators. (pdf)

Thesis of the Paris 7 University - Denis Diderot, defended in 2007,  June the 29th.
Advisor : Anne Boutet de Monvel.