Selected Research Publications

• Y. Liu, B. Selmi and Z. Li. Some properties of a new mean measure. Journal of Mathematical Analysis and Applications,   555: (2026), 130051.

• D. Tang, Z. Li and B. Selmi. Dynamics of Flows with Measurable Potentials. Journal of Mathematical Physics,  66: (2025), 092702.

• T. Wang, B. Selmi and Z. Li. The Descriptive Set Theoretic Properties of Multifractal Topological Entropy and Its Applications. Chaos, solitons & fractals,  200: (2025), 117058.

• T. Wang, B. Selmi and Z. Li. Exploring Higher Order Local Entropy Functions via Baire Category Theory. Qualitative Theory of Dynamical Systems,  24: (2025), 159.

• Z. Li, B. Selmi and H. Zyoudi. A Comprehensive Approach to Multifractal Analysis. Expositiones Mathematicae,  45: (2025), 125690.

• B. Selmi, S. Shen and Z. Yuan. Multifractal Analysis of Inhomogeneous Multinomial Measures with Non-doubling Projections. Fractals, 33: (2025), 2550027.

• D. Tang, Z. Li and B. Selmi. Variational principle for continuous flows with discontinuous and nonadditive potentials. Discrete and Continuous Dynamical Systems Series S, (accepted).

• G. I. Sebe, D. Lascu and B. Selmi. The Hausdorff Dimension of the Sets of Irrationals with Prescribed Relative Growth Rates. The Journal of Geometric Analysis, 35: (2025), Article Number 33.

• B. Selmi. Average general fractal dimensions of typical compact metric spaces. Fuzzy Sets and Systems, 499: (2025), 109192.

• B. Selmi. General multifractal dimensions of measures. Fuzzy Sets and Systems, 499: (2025), 109177.

• R. Achour, Z. Li and B. Selmi. Variational principles for general fractal dimensions. Results in Mathematics,  79: (2024), 261.

• R. Achour and Selmi. Some properties of new general fractal measures. Monatshefte für Mathematik, 204: (2024), 659-678.  

• R. Achour, Z. Li, B. Selmi, and T. Wang. General fractal dimensions of graphs of products and sums of continuous functions and their decompositions. Journal of Mathematical Analysis and Applications,  538: (2024), 128400.

• R. Achour, Z. Li, B. Selmi, and T. Wang. A Multifractal Formalism for New General Fractal Measures. Chaos Solitons & Fractals, 181: (2024), 114655.

• B. Selmi. Subsets of positive and finite Ψ_t-Hausdorff measures and applications. Journal of Geometric Analysis, 34: (2024), Article 79 (16 pages).

• R. Lal, B. Selmi and S. Verma. On dimension of fractal functions on product of the Sierpinski Gaskets and associated measures. Results in Mathematics, 79: (2024), Article 73 (20 pages).

• S. Doria and B. Selmi. Conditional aggregation operators defined by the Choquet integral and the Sugeno integral with respect to general fractal measures. Fuzzy Sets and Systems, 477: (2024), 108811.

• Z. Douzi and B.Selmi. Multifractal analysis of Hewitt-Stromberg measures with respect to gauge control functions. Topological Methods in Nonlinear Analysis, 64: (2024), 107-149.

• T. Chinnasamy, D. Easwaramoorthy, B. Selmi and B. Prasad. Generation of Fractals via Iterated Function System of Kannan Contractions in Controlled Metric Space.  Mathematics and Computers in Simulation 222: (2024), 188-198.

• Z. Li and B. Selmi. On the multifractal analysis of measures in a probability space. Illinois Journal of Mathematics, 65(3): (2021), 687-718.

• B. Selmi. Multifractal Geometry of Slices of Measures. Zeitschrift fur Analysis und ihre Anwendungen = Journal of analysis and its applications, 40 (2): (2021), 237-253.

• D. Cheng, Z. Li and B. Selmi. Upper metric mean dimension with potential on subsets. Nonlinearity,  34 (2): (2021), 852-867.

• B. Selmi. On the projections of the multifractal packing dimension for $q>1$. Annali di Matematica Pura ed Applicata, 199 (4):  (2020), 1519-1532. 

• B. Selmi. On the strong regularity with the multifractal measures in a probability space. Analysis and Mathematical Physics. 9 (3): (2019), 1525-1534.