Curriculum Vitae
PERSONAL AND ACADEMIC DATA
Name: Mourad BEN SLIMANE, Nationality: Tunisian, Date of Birth: 07/06/1969,
Current Academic Rank: Full Professor,
Address: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Fax: 00 966 1 4676512 Email: mbenslimane@ksu.edu.sa
Research interests: Wavelet analysis, Fractal Analysis, Functional Analysis, Pointwise regularity, Singularities, and Multifractals.
Academic Degrees:
- B.A./B.Sc. with a major in Mathematics with high honors (1st in Tunisia) and Presidential Prize, Tunis University, Tunisia, 06/15/1992.
- M.A./M.Sc. with very high honors: Applied mathematics (Nonlinear Analysis and Applications), University Paris 9 Dauphine, France 06/15/1993. Supervisor: Yves Meyer.
- Ph.D. with very high honors , Applied mathematics: Multifractal Formalism for Functions, Ecole Nationale des Ponts et Chaussées, Paris, France. Defended 09/20/1996. Title of Ph.D. Dissertation: Study of the multifractal formalism for functions. Supervisor: Stéphane Jaffard.
- ``Habilitation Universitaire’’ with very high honors, Tunis El-Manar University, Tunisia, 06/02/2003.
Publications:
Published Book: M. Ben Slimane, Textbook for Analysis, University of Tunis, 2003.
Grants, Scholarships, and Awards:
a) Research group project No. RG1435-063, King Saud University 2014-Present.
b) Research group project No. RGP-VPP-024, King Saud University 2011-2013.
c) Research group project No. 206 (PDE), University of Tunis, 2005-Present.
d) The French Institute of Cooperation CMCU project (Wavelets and multifractal geometry), 2001-Present.
e) Research group project (Harmonic analysis on hypergroups), University of Tunis, 1998-2000.
f) Grant from University of Montréal, Canada, A. Y. 1996-97.
g) Scholarship from French Ministry of Higher Education, 09/01/1992 to 09/30/1996.
h) Scholarship from Tunisian Ministry of Higher Education, A. Y. 1991-92.
i) Bachelor of Science with a major in Mathematics with high honors (1st in Tunisia and Presidential Prize), 07/20/1992.
Employment History (in Descending Order––Last Given First):
- 09/26/2009 – Present: King Saud University, College of Science, Department of Mathematics, Riyadh, KSA.
- 10/01/1997-09/25/2009: Tunis University, College of Science, Department of Mathematics, Tunisia.
- June 2005: Professor (Invited) at Paris 7 University, France.
- May 2005: Professor (Invited) at Aix en Provence University, France.
- A. Y. 1996-97: Center of Research in Mathematics (CRM), University of Montréal, Canada.
- A. Y. 1994-96: University Marne La-Vallée, College of Science, Department of Mathematics, Paris, France.
Recent Participations in conferences:
1-Fractals and related Fields III, Porquerolles, France, September 19-25, 2015.
Supervision of graduate students:
1. Hnia Ben Braiek, Ph.D., Tunis University, Tunisia, Subject: Gentil spaces and multifractal analysis. Defended on Jan. 2013.
2. Hnia Ben Braiek, Master thesis, Tunis University, Tunisia, Subject: Banach spaces of distributions and multifractal analysis, Defended in Sep. 2007.
3. Mohamed Chaouachi, Master thesis, Tunis University, Tunisia, Subject: Some generic results in wavelet multifractal analysis. Defended on Nov. 2006.
Theses examined:
7 Ph.D and 10 Master theses.
Administrative responsability
Member of the Academic accreditation for Master and Ph.D. in Mathematics at KSU.
.
Responsibility in the world of research:
- Referee for Nonlinearity, Journal of Mathematical Analysis and its Applications, Journal of Functional Analysis and Applications, SIAM Journal of Mathematical Analysis.
- Reviewer for Zentralblatt MATH.
PERSONAL AND ACADEMIC DATA
Name: Mourad BEN SLIMANE, Nationality: Tunisian, Date of Birth: 07/06/1969,
Current Academic Rank: Full Professor,
Address: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Fax: 00 966 1 4676512 Email: mbenslimane@ksu.edu.sa
Research interests: Wavelet analysis, Fractal Analysis, Functional Analysis, Pointwise regularity, Singularities, and Multifractals.
Academic Degrees:
- B.A./B.Sc. with a major in Mathematics with high honors (1st in Tunisia) and Presidential Prize, Tunis University, Tunisia, 06/15/1992.
- M.A./M.Sc. with very high honors: Applied mathematics (Nonlinear Analysis and Applications), University Paris 9 Dauphine, France 06/15/1993. Supervisor: Yves Meyer.
- Ph.D. with very high honors , Applied mathematics: Multifractal Formalism for Functions, Ecole Nationale des Ponts et Chaussées, Paris, France. Defended 09/20/1996. Title of Ph.D. Dissertation: Study of the multifractal formalism for functions. Supervisor: Stéphane Jaffard.
- ``Habilitation Universitaire’’ with very high honors, Tunis El-Manar University, Tunisia, 06/02/2003.
Publications:
- M. Ben Slimane, J. Aouidi and A. Ben Mabrouk : MIXED MULTIFRACTAL ANALYSIS FOR FUNCTIONS: GENERAL UPPER BOUND AND OPTIMAL RESULTS FOR VECTORS OF SELF-SIMILAR OR QUASI-SELF-SIMILAR OF FUNCTIONS AND THEIR SUPERPOSITIONS, Fractals Complex Geometry, Patterns, and Scaling Nature and Society, August 31, 2016, DOI: http://dx.doi.org/10.1142/S0218348X16500390
- M. Ben Slimane and H. Ben Braiek: Baire generic anisotropic multifractal formalism in anisotropic function spaces, Revista Matematica Complutense, Volume (2016) 29:127–167
- M. Ben Slimane : Baire typical results for mixed Holder spectra on product of continuous Besov or oscillation spaces, Mediterranean Journal of Mathematics, Volume 13 (2016), 1513–1533
- M. Ben Slimane, and Borhen Halouani, Multifractal formalism of oscillating regularities for random wavelet series, Fractals Complex Geometry, Patterns, and Scaling Nature and Society, Volume 23 No. 2 (2015), 1550005
- M. Ben Slimane and C. Melot, Analysis of a fractal boundary: the graph of the Knopp function, Abstract and Applied Analysis, Volume 2015 (2015), Article ID 587347
- M. Ben Slimane, J. Aouidi and A. Ben Mabrouk, A wavelet multifractal formalism for simultaneous singularities of functions, Volume 12 No.6 (2014), 1491001 and Volume 12 No.1 (2014), 1450009
- M. Ben Slimane, Anisotropic two-microlocal spaces and regularity, Journal of Function Spaces, Volume 2014 (2014), Article ID 505796
http://dx.doi.org/10.1155/2014/505796. - M. Ben Slimane, and H. Ben Braiek, Interpolation of gentle spaces, Abstract and Applied Analysis, Volume 2014 (2014), Article ID 801531
http://dx.doi.org/10.1155/2014/801531 - M. Ben Slimane, Multi-directional regularity criteria by wavelets, Fractals Complex Geometry, Patterns, and Scaling Nature and Society, 20, Nos. 3 & 4 (2012), 245–256.
- M. Ben Slimane, and H. Ben Braiek, Directional and anisotropic regularity and irregularity criteria in Triebel wavelet bases, Journal of Fourier Analysis and Applications, 18(2012), 893–914.
- M. Ben Slimane, The Thermodynamic Formalism for the de Rham function: increment method, Izvestiya: Mathematics, 76:3(2012), 431-445.
- M. Ben Slimane, and H. Ben Braiek, On the gentle properties of anisotropic Besov spaces, Journal of Mathematical Analysis and Applications, 396(2012), 21-48.
- M. Ben Slimane, and H. Ben Braiek, Directional regularity criteria, Comptes Rendus Mathematique, 349(2011), 385-389
- M. Ben Slimane, Baire generic histograms of wavelet coefficients and large deviation formalism in Besov and Sobolev spaces, Journal of Mathematical Analysis and Applications, 349(2009), 403-412.
- M. Ben Slimane, Multifractal analysis and formalism for the generalized de Rham function, Current Development in Theory and Applications of Wavelets, 2(2008), 45-88.
- M. Ben Slimane, On the Completeness of Oscillation Spaces, Nonlinear Oscillations, 8(2005), 435-443.
- M. Ben Slimane, Multifractal formalism for selfsimilar functions associated to the n-scale dilation family, Mathematical Proceedings of the Cambridge Philosophical Society, 6(2004), 195-212.
- M. Ben Slimane, and J. Aouidi, Multifractal formalism for non-selfsimilar functions, Integral Transforms and Special Functions, 15(2004), 189-207.
- M. Ben Slimane, Some functional equations revisited: the multifractal properties, Integral Transforms and Special Functions, 14(2003), 333-348.
- M. Ben Slimane, and J. Aouidi, Multifractal formalism for quasi-selfsimilar functions, Journal of Statistical Physics, 108(2002), 541-590.
- M. Ben Slimane, Multifractal formalism for selfsimilar functions expanded in singular basis, Applied Computational Harmonic Analysis, 11(2001), 387-419.
- M. Ben Slimane, Multifractal formalism for selfsimilar functions under the action of non-linear dynamical systems, Constructive Approximation, 15(1999), 209-240.
- M. Ben Slimane, Multifractal formalism and anisotropic selfsimilar functions, Mathematical Proceedings of the Cambridge Philosophical Society, 124(1998), 329-363.
- M. Ben Slimane, Formalisme multifractal pour quelques généralisations des fonctions autosimilaires, Comptes Rendus Mathématique, 324 (1997), 981-986.
- M. Ben Slimane, Multifractal formalism and logarithmic chirps for n scale dilation functions, Reports of ENPC, Paris, 56, 1996.
- M. Ben Slimane, Study of the multifractal formalism for functions, Reports of ENPC, Paris, 1996.
Published Book: M. Ben Slimane, Textbook for Analysis, University of Tunis, 2003.
Grants, Scholarships, and Awards:
a) Research group project No. RG1435-063, King Saud University 2014-Present.
b) Research group project No. RGP-VPP-024, King Saud University 2011-2013.
c) Research group project No. 206 (PDE), University of Tunis, 2005-Present.
d) The French Institute of Cooperation CMCU project (Wavelets and multifractal geometry), 2001-Present.
e) Research group project (Harmonic analysis on hypergroups), University of Tunis, 1998-2000.
f) Grant from University of Montréal, Canada, A. Y. 1996-97.
g) Scholarship from French Ministry of Higher Education, 09/01/1992 to 09/30/1996.
h) Scholarship from Tunisian Ministry of Higher Education, A. Y. 1991-92.
i) Bachelor of Science with a major in Mathematics with high honors (1st in Tunisia and Presidential Prize), 07/20/1992.
Employment History (in Descending Order––Last Given First):
- 09/26/2009 – Present: King Saud University, College of Science, Department of Mathematics, Riyadh, KSA.
- 10/01/1997-09/25/2009: Tunis University, College of Science, Department of Mathematics, Tunisia.
- June 2005: Professor (Invited) at Paris 7 University, France.
- May 2005: Professor (Invited) at Aix en Provence University, France.
- A. Y. 1996-97: Center of Research in Mathematics (CRM), University of Montréal, Canada.
- A. Y. 1994-96: University Marne La-Vallée, College of Science, Department of Mathematics, Paris, France.
Recent Participations in conferences:
1-Fractals and related Fields III, Porquerolles, France, September 19-25, 2015.
- Periodic and Other Ergodic problems, Cambridge, United Kingdom, March 23-27, 2015.
- Sixth international conference on "Advanced Computational Methods in Engineering", Ghent- Belgium, June 23-28. 2014.
- International Conference on Mathematical, Statistical and Computational Sciences, Madrid, Spain, March 28-29, 2013.
- International Conference on Mathematical and Statistical Sciences, Zurich, Switzerland, January, 2012.
- International Conference Geometry and Global Analysis, Santiago de Compostela, Spain, Dec. 13-17, 2010.
- International Conference Wavelets and fractals, Domaine du rond-chene in Esneux, Belgium, April 26-28, 2010.
- International Conference `PDE and Applications', March 2008, Hammamet (Tunisia).
- International Conference `Fractals and related Fields', organized in honour of Professor Jacques Peyriere, September 2007, Monastir (Tunisia), organizing committee.
Supervision of graduate students:
1. Hnia Ben Braiek, Ph.D., Tunis University, Tunisia, Subject: Gentil spaces and multifractal analysis. Defended on Jan. 2013.
2. Hnia Ben Braiek, Master thesis, Tunis University, Tunisia, Subject: Banach spaces of distributions and multifractal analysis, Defended in Sep. 2007.
3. Mohamed Chaouachi, Master thesis, Tunis University, Tunisia, Subject: Some generic results in wavelet multifractal analysis. Defended on Nov. 2006.
Theses examined:
7 Ph.D and 10 Master theses.
Administrative responsability
Member of the Academic accreditation for Master and Ph.D. in Mathematics at KSU.
.
Responsibility in the world of research:
- Referee for Nonlinearity, Journal of Mathematical Analysis and its Applications, Journal of Functional Analysis and Applications, SIAM Journal of Mathematical Analysis.
- Reviewer for Zentralblatt MATH.
We define --anisotropic two-microlocal spaces by decay conditions on anisotropic wavelet coefficients on any --anisotropic wavelet basis of . We prove that these spaces allow the...
The notion of gentle spaces, introduced by Jaffard, describes what would be an “ideal” function space to work with wavelet coefficients. It is based mainly on the separability, the...
he study of d dimensional traces of functions of m several variables leads to directional behaviors. The purpose of this paper is two-fold. Firstly, we extend the notion of one direction...