el Houcein el Abdalaoui

Thèmes de recherche

   Théorie Ergodique et Systèmes Dynaminques   

Théorie spectrale des systèmes dynamiques

Ensemble de Julia et analyse complexe

Probabilités et Théorie des nombres

Harmonic and Fourier analysis

Articles

My Author index : G-index, H-index, .., [ARM]

On MathSciNet :  For more details please check on the web site of MathSciNet

• El Abdalaoui, E. H.; Disertori, M.; Spectral properties of the Möbius function and a random Möbius model. Stoch. Dyn. 16 (2016), no. 1, 1650005, 25 pp.
• El Abdalaoui, El Houcein; Kasjan, Stanisław; Lemańczyk, Mariusz; 0-1 sequences of the Thue-Morse type and Sarnak's conjecture. Proc. Amer. Math. Soc. 144 (2016), no. 1, 161–176.

Informations from the author:

• E. H. EL Abdalaoui and M. G. Nadkarni, A non-singular transformation whose spectrum has Lebesgue component of multiplicity one, Ergodic Theory and Dynamical Systems, available on CJO2014. doi:10.1017/etds.2014.85. [arXiv]
• E. H. El Abdalaoui and M. G. Nadkarni, Calculus of Generalized Riesz Products, Contemporary Mathematics(AMS) 631 (2014), pp. 145-180. DOI: 10.1090/conm/631 [arXiv]
• E. H. el Abdalaoui , Stanisław Kasjan, Mariusz Lemańczyk, 0 − 1 sequences of the Thue-Morse type and Sarnak’s conjecture, Accepted for publication in Proceeding of AMS (2015).[arXiv]
• E. H. El Abdalaoui, M. Dahmoune and D. Ziadi, On the transition reduction problem for finite automata,  Fundamenta Informaticae 132 (2014) 1-16, the Special Issue of the RuFiDiM 2012. [HAL] [arXiv] [dplp]
• E. H. El Abdalaoui, M. Lemańczyk and T. de la Rue, On spectral disjointness of powers for rank-one transformations and Möbius orthogonality, Journal of Functional Analysis, , 266 (2014), Issue 1, 284-317, online: DOI 10.1016/j.jfa.2013.09.005.[DOI] [HAL][arXiv]
• E. H. el Abdalaoui, M. Lemańczyk, T. de la Rue, A dynamical point of view on the set of B-free integers,  International Mathematics Research Notices. (2014), doi: 10.1093/imrn/rnu164.[arXiv]
• E. H. El Abdalaoui, S. Bonnot, A. Messaoudi and O. Sester, On the Fibonacci complex dynamical systems ,  Accepted for publication in the Discrete and Continuous Dynamical System - A, 2015.[HAL][arXiv]
• E. H. El Abdalaoui and M. Disertori, Spectral properties of the Möbius function and a random Möbius model, Accepted for publication, 2015. [arXiv]
• E. H. El Abdalaoui and A. El Messaoudi, On the spectrum of the stochastic perturbations of shift and Julia sets, Fund. Math., 218 (2012), no. 1, 47-68.[PDF]
• E. H. el Abdalaoui, J. Kułaga-Przymus, M. Lemańczyk and T. de la Rue, The Chowla and Sarnak’s conjectures for ergodicians, submitted, 2014, accepté pour publication dans DCDS series A. [arXiv]
• On the spectral type of some class of rank one flows, preprint, 2012. [HAL][arXiv]
• Generalized Riesz Products on the Bohr compactification of $R$ and rank one flows, submitted, 2012,  accepté pour publication dans J Fourier Anal Appl, DOI 10.1007/s00041-015-9410-5. [HAL] [arXiv]
• E. H. El Abdalaoui and A. El Messaoudi, On the spectrum of the stochastic perturbations of shift and Julia sets, accepté pour publication dans Fundamenta 2012. [PDF]
• E. H. El Abdalaoui, M. Lemańczyk, E. Lesigne and C. Ulcigria, E. Lesigne, , On the spectral disjoinctness in the class of some class of rank one flows, I, 2012. preprint [PDF]
• E. H. El Abdalaoui and M. Lemańczyk, Approximate transitivity property and simple Lebesgue spectrum, Arch. Mathematik Volume 97 2011 p. 187-197. [PDF]
• E. H. El Abdalaoui and M. Lemańczyk, Approximate transitivity property and Lebesgue spectrum, Monatshefte für Mathematik Volume 161, no 2, 2010 p. 121–144. [PDF]
• E. H. El Abdalaoui, M. El Machkouri and A. Nogueira, A criterion of weak mixing property, Proceedings école théorie ergodique II, Séminaires et Congrés Séminaires et congrès de la SMF, Volume 20, 2010 p. 105-111. [PDF]
• $\alpha$-rigid transformations, Journal of Dynamical and Control Systems, Volume 15, No 4, 2009, p. 453-470. [PDF]
• A new class of rank one transformations with singular spectrum, Ergodic Theory \& Dynamical System, Volume 27, Issue 05, 2007, p. 1541-1555. [PDF]
• E. H. El Abdalaoui, F. Parreau and A. A. Prikhod'ko, A new class of Ornstein transformations with singular spectrum, Annales d'Institut Henri Poincaré-Probabilités et Statistiques, PR- 42 2006, p. 671-681. [PDF]
• E. H. El Abdalaoui, A. Nogueira and T. De La Rue, Weak mixing of maps with bounded cutting parameter, New York Journal of mathematics, Volume 11, 2005, p. 81-87. [PDF]
• On the spectrum of the powers of Ornstein transformations, Sankya, volume 62, series A, Pt. 3, 2000, p. 291-306. [PDF]
• A Class Of Ornstein Transformations With Weak Mixing Property, Annales d'Institut Henri Poincaré-Probabilités et Statistiques,, volume 36 (6), 2000, p. 775-786. [PDF]
• A Class Of Ornstein Transformations With Weak Mixing Property, Canadian Mathematical Bulletin, Volume 4, 2000, p. 157-161. [PDF]
• La Singularité mutuelle presque sûre du spectre des transformations d'Ornstein, Israel Journal of Mathematics, volume 112, 1999, p. 135-156. [PDF]

Notes-Livres et théses

• Simple proof of Bourgain's theorem on the singularity of the spectrum of Ornstein maps, 2014. [PDF]

• Ornstein's Mixing Rank One Transformations : A New Exposition, (en collaboration avec M. G. Nadkarni, Chapitre 16 of the book :Spectral Theory of Dynamical Systems, M. G. Nadkarni. Hindustan Book Agency, New Delhi, En Europe chez Birkhaüser 1998-1998.
• Contributions à l'étude d'une famille de systèmes dynamiques dans la théorie ergodique avec applications, el Houcein el Abdalaoui. Université de Rouen 2008 [PDF]
• Etude spectrale des transformations d'Ornstein, el Houcein el Abdalaoui. Université de Rouen 1998 [PDF]

Some Handwritten Notes from the past: These notes were written during some conferences or during  a discussion with colleagues starting from 1994!.
(Ce sont des notes écrites lors d'un exposé ou d'une conversation avec des collègues (à partir de 1994)

• x2-x3 problem ( discussion with José de Sam Lazaro,1997).  [PDF]

Mise à jour le 18/03/2015