Dr. Anouar Ben Mabrouk
ProfessorDepartment of Mathematics and Applications, Faculty of Sciences, University of Monastir, Tunisia
Highest Degree
Ph.D. in Mathematics from University of Monastir, Tunisia
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Department of Mathematics and Applications, Faculty of Sciences, University of Monastir, Tunisia
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Biography
Qualified as Professor of both Pure Mathematics and Applied Mathematics from both the Tunisian Ministry of Higher Education and Scientific Research, and the French Ministry of Higher Education and Scientific Research. My focuses are wavelets, fractals and related fields such as probability/statistics, fractal measures and dimensions, thermodynamics formalism, financial mathematics, time series, climate factors, environment and pollution, signal and image processing, biostatistics and biomathematics, especially for bio-signals/bio-images applications. Besides, I am interested on the extension of wavelets/fractals on the so-called Clifford Algebras and their applications in image/signal processing by serving of the properties of these algebras. I am also working on partial differential equations from both theoretical and numerical aspects especially on fractal domains, fractal boundaries as well as fractal initial data. In parallel, I am focusing on aspects of scientific miracles in the Qur'an and the Sunnah. I am in particular working on some translations of many references from Arabic to English and French languages.
Area of Interest:
Business Management and Accounting
100%
Finance and Economics
62%
Finance Management
90%
Econometrics
75%
Statistical Probability
55%
Research Publications in Numbers
Books
0
0
Chapters
8
8
Articles
107
107
Abstracts
0
0
Selected Publications
- Banouh, H. and A.B. Mabrouk, 2020. A sharp clifford wavelet heisenberg-type uncertainty principle. J. Math. Phys., 10.1063/5.0015989.
CrossRef | Direct Link | - Banouh, H. and A.B. Mabrouk, 2020. A sharp clifford wavelet heisenberg-type uncertainty principle. J. Math. Phys., 10.1063/5.0015989.
CrossRef | Direct Link | - Zemni, M., M. Jallouli, A.B. Mabrouk and M.A. Mahjoub, 2019. Explicit haar-schauder multiwavelet filters and algorithms. part II: relative entropy-based estimation for optimal modeling of biomedical signals. Int. J. Wavelets, Multiresolution Inform. Process., 10.1142/s0219691319500383.
CrossRef | Direct Link | - Menceur, M. and A.B. Mabrouk, 2019. A joint multifractal analysis of vector valued non gibbs measures. Chaos Solitons Fractals, 126: 203-217.
CrossRef | Direct Link | - Jallouli, M., W.B.H. Khu00e9lifa, A.B. Mabrouk and M.A. Mahjoub, 2019. Toward recursive spherical harmonics issued bi-filters: part II: an associated spherical harmonics entropy for optimal modeling. Soft Comput., 24: 5231-5243.
CrossRef | Direct Link | - Banouh, H., A.B. Mabrouk and M. Kesri, 2019. Clifford wavelet transform and the uncertainty principle. Adv. Appl. Clifford Algebras, 10.1007/s00006-019-1026-4.
CrossRef | Direct Link | - Arfaoui, S., A.B. Mabrouk and C. Cattani, 2019. New type of gegenbauer-hermite monogenic polynomials and associated clifford wavelets. J. Math. Imaging Vision, 62: 73-97.
CrossRef | Direct Link | - Jallouli, M., M. Zemni, A.B. Mabrouk and M.A. Mahjoub, 2018. Toward recursive spherical harmonics-issued bi-filters: part I: theoretical framework. Soft Comput., 23: 10415-10428.
CrossRef | Direct Link | - Arfaoui, S. and A.B. Mabrouk, 2017. Some ultraspheroidal monogenic clifford gegenbauer jacobi polynomials and associated wavelets. Adv. Appl. Clifford Algebras, 27: 2287-2306.
CrossRef | Direct Link | - Arfaoui, S. and A.B. Mabrouk, 2017. Some old orthogonal polynomials revisited and associated wavelets: two-parameters clifford-jacobi polynomials and associated spheroidal wavelets. Acta Applicandae Mathematicae, 155: 177-195.
CrossRef | Direct Link | - Slimane, M.B., A.B. Mabrouk and J. Aouidi, 2016. 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, 10.1142/s0218348x16500390.
CrossRef | Direct Link | - Mahmoud, M.M.I., A.B. Mabrouk and M.H.A. Hashim, 2016. Wavelet multifractal modeling and prediction of transmembrane proteins series. Int. J. Wavelets, Multiresolution Inform. Process., 10.1142/s0219691316500442.
CrossRef | Direct Link | - AOUIDI, J. and A.B. MABROUK, 2013. A wavelet multifractal formalism for simultaneous singularities of functions. Int. J. Wavelets, Multiresolution Inform. Process., 10.1142/s021969131450009x.
CrossRef | Direct Link | - Salah, C.B., A.B. Mabrouk and M. Ouali, 2011. Wavelet autoregressive forecasting of climatic parameters for photovoltaic systems. Eighth International Multi-Conference on Systems, Signals & Devices March 22-25, 2011, IEEE Xplore, Tunis, Tunisia, pp: 1-6.
CrossRef | Direct Link | - Hamrita, M.E., N.B. Abdallah and A.B. Mabrouk, 2011. A wavelet method coupled with quasi-self-similar stochastic processes for time series approximation. Int. J. Wavelets, Multiresolution Inform. Process., 09: 685-711.
CrossRef | Direct Link | - Aouidi, J. and A.B. Mabrouk, 2011. Multifractal analysis of some weighted quasi-self-similar functions. Int. J. Wavelets, Multiresolution Inform. Process., 09: 965-987.
CrossRef | Direct Link | - Mabrouk, A.B., H. Kortass and S.B. Ammou, 2009. Wavelet estimators for long memory in stock markets. Int. J. Theor. Applied Finance, 12: 297-317.
CrossRef | Direct Link | - Mabrouk, A.B. and M.L.B. Mohamed, 2009. Phase plane analysis and classification of solutions of a mixed sublinear-superlinear elliptic problem. Nonlinear Analysis: Theory Methods Appl., 70: 1-15.
CrossRef | Direct Link | - Atkan, B., A.B. Mabrouk, M. Ozturk and N. Rhaeim, 2009. Wavelet-based systematic risk estimation an application on istanbul stock exchange. Int. Res. J. Finance Econ., 23: 33-45.
- Mabrouk, A.B., N.B. Abdallah and Z. Dhifaoui, 2008. Wavelet Decomposition and Autoregressive Model for Time Series Prediction. Applied Mathe. Comput., 199: 334-340.
CrossRef | Direct Link | - Mabrouk, A.B., H. Kortas and Z. Dhifaoui, 2008. A wavelet support vector machine coupled method for time series prediction. Int. J. Wavelets Multiresolution Inform. Process., 6: 851-868.
CrossRef | Direct Link | - Mabrouk, A.B., 2008. Wavelet analysis of nonlinear self-similar distributions with oscillating singularity. Int. J. Wavelets Multiresolut. Inform. Process., 6: 447-457.
CrossRef | Direct Link | - Mabrouk, A.B., 2008. On Some Nonlinear Nonisotropic Quasi-Self-Similar Functions. Nonlinear Dynamics, 51: 379-398.
CrossRef | Direct Link | - Mabrouk, A.B., 2008. An adapted group dilation anisotropic multifractal formalism for functions. J. Nonlinear Math. Phys., 15: 117-139.
CrossRef | Direct Link | - Mabrouk, A.B., 2008. A higher order multifractal formalism. Stat. Probability Lett., 78: 1412-1421.
CrossRef | Direct Link | - Mabrouk, A.B. and M. Ayadi, 2008. Lyapunov type operators for numerical solutions of PDEs. Applied Mathe. Comput., 204: 395-407.
CrossRef | Direct Link | - Mabrouk, A.B. and M. Ayadi, 2008. A linearized finite-difference method for the solution of some mixed concave and convex nonlinear problems. Applied Mathe. Comput., 197: 1-10.
CrossRef | Direct Link | - Rhaiem, N., S.B. Ammou and A.B. Mabrouk, 2007. Wavelet estimation of systematic risk at different time scales application to french stock market. The Int. J. Applied Econ. Finance, 1: 113-119.
CrossRef | Direct Link | - Rhaiem, N., S.B. Ammou and A.B. Mabrouk, 2007. Estimation of capital asset pricing model at different time scales application to French stock market. Int. J. Applied Econ. Finance, 1: 79-87.
CrossRef | Direct Link | - Mabrouk, A.B., M.L.B. Mohamed and K. Omrani, 2007. Finite difference approximate solutions for a mixed sub-superlinear equation. Applied Math. Comput., 187: 1007-1016.
CrossRef | Direct Link | - Mabrouk, A.B., 2007. Study of some nonlinear self-similar distributions Int. J. Wavelets Multiresolut. Inform. Process., 5: 907-916.
CrossRef | Direct Link | - Mabrouk, A.B. and M.L.B. Mohamed, 2007. Nodal solutions for some nonlinear elliptic equations. Applied Mathe. Comput., 186: 589-597.
CrossRef | Direct Link | - Mabrouk, A.B. and N.B. Abdallah, 2006. Study of some multinomial cascades. Adv. Appl. Stat., 6: 295-303.
Direct Link | - Mabrouk, A.B. and M.L.B. Mohamed, 2006. On some critical and slightly super-critical sub-superlinear equations. Far East J. Applied Math., 23: 73-90.
Direct Link | - Mabrouk, A.B., 2005. Multifractal analysis of some non isotropic quasi-self-similar functions. Far East J. Dynamical Syst., 7: 23-63.
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