Assistant Professor at University of Monastir, Tunisia.
Assist. Prof. Dr. Bilel Selmi is a Tunisian mathematician specializing in multifractal analysis, fractal geometry and geometric measure theory. He received his Ph.D. in Pure Mathematics from the Faculty of Sciences of Monastir, where his work contributed to the understanding of multifractal dimensions and their behavior under projection. He further advanced his research in the field through postdoctoral studies under Profs. Imen Bhouri and Fathi Ben Nasr. Currently, he teaches mathematics and pursues research at ISET Gabes. Dr. Selmi is also a co-author of the French-language textbook Linear Algebra: Course reminders and corrected exercises.
Publication Profile
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Educational Details
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2020 – Postdoctoral Research
Title: The relative multifractal analysis, review, and examples
Supervisors: Prof. Imen Bhouri and Prof. Fathi Ben Nasr
Laboratory: Analysis, Probability and Fractals Laboratory (LR18ES17)
Institution: Faculty of Sciences of Monastir, Tunisia
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2019 – Ph.D. in Mathematics (Pure Mathematics)
Title: Multifractal analysis and dimensions
Advisor: Prof. Imen Bhouri
Institution: Faculty of Sciences of Monastir, Tunisia
Lab: Analysis, Probability and Fractals Laboratory (LR18ES17)
Thesis Description: Investigated multifractal Hausdorff and packing dimensions of Borel measures, their orthogonal projections, and developed theoretical foundations for relative multifractal analysis including decomposition theorems and multifractal spectra.
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2014 – M.Sc. in Mathematics (Pure Mathematics)
Title: Multifractal analysis of Birkhoff averages on symbolic spaces
Advisor: Prof. Imen Bhouri
Institution: Faculty of Sciences of Monastir, Tunisia
Thesis Description: Explored thermodynamic formalism in symbolic dynamics, focusing on pressure functions and their link to Hausdorff and packing dimensions of level sets in symbolic spaces.
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2012 – B.Sc. in Mathematics (First-class honors)
Specialty: Pure Mathematics
Institution: Faculty of Sciences of Monastir, Tunisia
Professional Experience
Dr. Bilel Selmi began his teaching career in 2016 as a contractual assistant at the Higher Institute of Informatics and Mathematics of Monastir, where he served until 2019. During this period, he held various teaching positions, including temporary assistant roles. Since 2020, he has been serving as an Assistant Professor of Mathematics at the Higher Institute of Technological Studies (ISET) in Gabes, Tunisia. His academic duties include teaching advanced mathematics and conducting research in fractal geometry and dynamical systems.
Research Interest
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Multifractal Analysis
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Fractal Geometry
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Dynamical Systems
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Geometric Measure Theory
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Quantization
Author Metrics
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Total Citations: 1,202
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h-index: 20
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i10-index: 45
These metrics reflect Dr. Selmi’s strong research impact in the fields of multifractal analysis, fractal geometry and dynamical systems, showcasing a consistent publication record and growing academic influence.
Top Noted Publication
1. A multifractal formalism for Hewitt–Stromberg measurements
Authors: N. Attia, B. Selmi
Journal: The Journal of Geometric Analysis, 31, 825–862 (2021)
Citations: 55
Description: This paper introduces a multifractal formalism adapted to Hewitt–Stromberg measures, which extend classical measure-theoretic tools in multifractal geometry. The authors establish key relationships between multifractal dimensions and the regularity of measures in this non-traditional framework, contributing new theoretical foundations for geometric measure theory.
2. Multifractal variation for projections of measurements
Authors: Z. Douzi, B. Selmi
Journal: Chaos, Solitons & Fractals, 91, 414–420 (2016)
Citations: 50
Description: This work studies how multifractal properties of measures behave under orthogonal projections. It provides significant results on the preservation and variation of multifractal spectra when measures are projected in Euclidean space, with implications for applications in image analysis and signal processing.
3. Regularities of multifractal Hewitt–Stromberg measurements
Authors: N. Attia, B. Selmi
Journal: Communications of the Korean Mathematical Society, 34(1), 213–230 (2019)
Citations: 44
Description: This study explores the regularity properties of measures in the context of Hewitt–Stromberg analysis. The authors provide necessary and sufficient conditions for regular multifractal behavior, extending the understanding of generalized multifractal formalisms beyond classical settings.
4. The relative multifractal analysis, review and examples
Author: B. Selmi
Journal: Acta Scientiarum Mathematicarum (Szeged), 86(3–4), 635–666 (2020)
Citations: 43
Description: A comprehensive review and extension of the theory of relative multifractal analysis. Selmi introduces new definitions and illustrative examples, and connects relative spectra with classical concepts in fractal geometry. The work is notable for its pedagogical value and depth in foundational theory.
5. Some density results of relative multifractal analysis
Authors: N. Attia, B. Selmi, C. Souissi
Journal: Chaos, Solitons & Fractals, 103, 1–11 (2017)
Citations: 43
Description: This article investigates the density of specific classes of measures satisfying relative multifractal formalism. It discusses convergence properties and limit distributions, providing critical insight into the statistical structure of fractal measures.
Conclusion
Assist. Prof. Dr. Bilel Selmi is a highly deserving candidate for the Best Researcher Award. His extensive contribution to the advancement of multifractal theory and geometric measure analysis, combined with a consistent record of quality publications and citation impact, showcases his excellence in pure mathematics. While there is room to broaden his research outreach and leadership profile, his academic trajectory, originality, and scholarly depth make him a strong contender.