Research Publications

77- B. Selmi and H. Zyoudi. The smoothness of multifractal Hewitt-Stromberg and Box dimensions. Journal of Nonlinear Functional Analysis,  (accepted).

76- D. Cheng, Z. Li and B. Selmi. On the general fractal dimensions of hyperspace of compact sets. Fuzzy Sets and Systems,  (accepted).

75- R. Achour and Selmi. Some properties of new general fractal measures. Monatshefte für Mathematik,  (accepted).

74- 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.

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

72- S. Doria and B. Selmi. Coherent upper conditional expectations defined by fractal measures and the probabilistic representation of quantum states. Fluctuation and Noise Letters, (accepted).

71- Y. Liu, B. Selmi and Z. Li. On the mean fractal dimensions of the Cartesian product sets. Chaos Solitons & Fractals, 180: (2024), 114503.

70- R. Achour, J. Hattab and B. Selmi. New fractal dimensions of measures and decompositions of singularly continuous measures. Fuzzy Sets and Systems, 479: (2024), 108859.

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

68- 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: (2023), Article 73 (20 pages).

67- 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.

66- T. Chinnasamy, D. Easwaramoorthy, G. Muhiuddin, B. Selmi and V. Kulish. Fractal Based Automatic Detection of Complexity in COVID-19 X-Ray Images. Expert Systems, (accepted).

65- Z. Douzi and B.Selmi. Multifractal analysis of Hewitt-Stromberg measures with respect to gauge control functions. Topological Methods in Nonlinear Analysis, (accepted).

64- B. Selmi. Projection estimates for the lower Hewitt-Stromberg dimension.  Real Analysis Exchange, 49: (2024), 1-19.

63- 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.

62- J. Hattab, B. Selmi, S. Verma . Mixed multifractal spectra of homogeneous Moran measures.  Fractals 32: (2024), 2440003 (20 pages).

61- Z. Douzi and B. Selmi. The outer regularity of the Hewitt-Stromberg measures in a metric space and applications.  Journal of the Indian Mathematical Society (accepted).

60- N. Attia and B. Selmi. On the multifractal measures and dimensions of image measures on a class of Moran sets.  Chaos, Solitons & Fractals, 174: (2023), 113818.

59- N. Attia and B. Selmi. Subsets of positive and finite multifractal measures.  Fractals,  32: (2024) 2440004 (8pages)

58- B. Selmi and Z. Yuan. On the multifractal measures: proportionality and dimensions of Moran sets.  Rendiconti del Circolo Matematico di Palermo, 72: (2023), 3949–3969.

57- Z . Douzi, B. Selmi and Z. Yuan. Some regular properties of the Hewitt-Stromberg measures with respect to doubling gauges. Analysis Mathematica, 49: (2023), 733-746.

56- S. Doria and B. Selmi. Coherent Upper Conditional Previsions Defined by Fractal Outer Measures to Represent the Unconscious Activity of Human Brain. Lecture Notes in Computer Science, 13890(MDAI 2023):70-82.

55- B. Selmi. Average Hewitt-Stromberg and box dimensions of typical compact metric spaces. Quaestiones Mathematicae, 46(3): (2023), 411-444.

54- Z. Douzi and B. Selmi. On the mutual singularity of Hewitt-Stromberg measures for which the multifractal functions do not necessarily coincide. Ricerche di Matematica, 72(1): (2023), 1-32.

53- Z. Douzi, B. Selmi and H. Zyoudi. The measurability of Hewitt-Stromberg measures and dimensions. Communications of the Korean Mathematical Society,  38(2): (2023), 491-507.

52- N. Attia and B. Selmi. Different types of multifractal measures in separable metric spaces and their applications.  AIMS Mathematics, 8(6): (2023), 12889-12921.

51- N. Attia and B. Selmi. On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets. Mathematics, 11: (2023), 1519.

50- B. Selmi and N. Svetova. On the mutual multifractal analysis for some non-regular Moran measures. Probl. Anal. Issues Anal, 12(30): (2023), 46-71.

49- B. Selmi. On the projections of the multifractal Hewitt-Stromberg dimensions. Filomat, 37(15): (2023), 4869-4880.

48- A. Ben Mabrouk and B. Selmi. On the equivalence of multifractal measures on Moran sets. Filomat,  36(10): (2022), 3479-3490. 

47- A. Ben Mabrouk, M. Menceur and B. Selmi. On the mixed multifractal densities and regularities with respect to gauges. Filomat,   36(12): (2022),  4225-4239. 

46-  Z. Douzi and B. Selmi.  A relative multifractal analysis: Box-dimensions, densities, and projections. Quaestiones Mathematicae, 45(8): (2022), 1243-1296.

45- Z. Douzi and B. Selmi. Projection theorems for Hewitt-Stromberg and modified intermediate dimensions. Results in Mathematics, 77: (2022),  Article number: 158, pages: 1-14. 

44- B. Selmi. A review on multifractal analysis of Hewitt-Stromberg measures. Journal of Geometric Analysis,   32(1): (2022), Article number: 12, Pages: 1-44.

43- B. Selmi.  Slices of Hewitt-Stromberg Measures and Co-dimensions Formula. Analysis (Berlin),  42: (2022), 23-39.

42- A. Ben Mabrouk, Z. Douzi and B. Selmi. The ϕ-Topological Conformal Dimension for the Sierpinski Carpet. Journal of Dynamical Systems and Geometric Theories. 20 (2022), 33-53.

41- A. Ben Mabrouk and B. Selmi. On the mixed multifractal formalism for vector-valued measures. Proyecciones (Antofagasta), 41 (5): (2022), 1015-132.

40- B. Selmi. On the multifractal dimensions of product measures. Nonlinear Studies., 29: (2022), 247-255.

39- B. Selmi.  Multifractal dimensions for projections of measures. Bol. Soc. Paran. Mat., 40: (2022), 1-15.

38- Z. Douzi and B. Selmi. Projections of mutual multifractal functions. Journal of Classical Analysis,  19(1): (2022), 21-37.

37- A. Ben Mabrouk, Z. Douzi and B. Selmi. The refined multifractal formalism of some homogeneous Moran measures. The European Physical Journal Special Topics, 230: (2021), 3815-3834.

36-  A. Ben Mabrouk and B. Selmi. On the topological Billingsley dimension of self-similar Sierpi\'{n}ski carpet. The European Physical Journal Special Topics, 230: (2021), 3861-3871.

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

34- 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.

33- B. Selmi. The mutual singularity of multifractal measures for some non-regularity Moran fractals. Bulletin of the Polish Academy of Sciences Mathematics, 69(1): (2021), 21-35.

32- Z. Douzi and B. Selmi. The mutual singularity of the relative multifractal measures. Nonautonomous Dynamical Systems, 8 (1): (2021), 18-26.

31- B. Selmi. Projections of measures with small supports. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 20 (1): (2021), 5-15.

30- N. Attia,  B. Selmi. On the mutual singularity of Hewitt-Stromberg measures. Analysis Mathematica, 47 (2): (2021), 273-283.

29- M. Kanti Roychowdhury and  B. Selmi. Local dimensions and quantization dimensions in dynamical systems. Journal of Geometric Analysis, 31 (6): (2021), 6387-6409.

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

27- B. Selmi. The relative multifractal densities: a review and application.  Journal of Interdisciplinary Mathematics, 24 (6): (2021), 1627-1644.

26- N. Attia, B. Selmi. A multifractal formalism for Hewitt-Stromberg measures. Journal of Geometric Analysis, 31 (1): (2021), 825-862.

25- B. Selmi, N. Svetova. Projections and Slices of measures. Communications of the Korean Mathematical Society, 36 (2): (2021), 327-342.

24- B. Selmi. Remarks on the mutual singularity of multifractal measures. Proyecciones, 40 (1): (2021), 73-84.

23- Z. Douzi, B. Selmi. On the projections of the mutual multifractal R\'{e}nyi dimensions. Analysis in Theory and Applications, 37(4): (2021), 572-592.

22- Z. Douzi, A. Samti, B. Selmi. Another example of the mutual singularity of multifractal measures. Proyecciones, 40 (1): (2021) 17-33.

21- B. Selmi. Appendix to the paper "On the Billingsley dimension of Birkhoff average in the countable symbolic space". Comptes Rendus Mathematique, 358 (8): (2020), 939.

20- B. Selmi. The relative multifractal analysis, review and examples. Acta Scientiarum Mathematicarum,  86 (3-4): (2020), 635-666.

19- B. Selmi. Some new characterizations of Olsen's multifractal functions. Results in Mathematics, 75: (2020), 147: 1-16.

18- M. Khelifi, H. Lotfi, A. Samti and B. Selmi. A relative multifractal analysis. Choas, Solitons & Fractals, 140: (2020), 110091.

17- B. Selmi. Multifractal dimensions of vector-valued non-Gibbs measures. General Letters in Mathematics, 8 (2): (2020), 51-66.

16- B. Selmi. A note on the multifractal Hewitt-Stromberg measures in a probability space. The Korean Journal of Mathematics, 28 (2): (2020), 323-341.

15- B. Selmi. Projection estimates for mutual multifractal dimensions. Journal of Pure and Applied Mathematics: Advances and Applications, 22 (2): (2020), 71-89.

14- Z. Douzi, B. Selmi. On the mutual singularity of multifractal measures. Electronic Research Archive. 28 (1): (2020), 423-432.

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

12- N. Attia, B. Selmi. On the Billingsley dimension of Birkhoff average in the countable

symbolic space. Comptes Rendus Mathematique,  358 (3): (2020), 255-265.

11- B. Selmi. On the effect of projections on the Billingsley dimensions. Asian-European Journal of Mathematics. 13 (1):  (2020), 2050128  (17 pages).

10- N. Attia, B. Selmi. Relative multifractal box-dimensions. Filomat. 33 (9): (2019), 2841-2859.

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

8- Z. Douzi, B. Selmi. Regularities of general Hausdorff and packing functions. Chaos, Solitons & Fractals.  123: (2019),  240-243.

7- N . Attia, B. Selmi. Regularities of multifractal Hewitt-Stromberg measures.  Communications of the Korean  Mathematical Society.  34: (2019), 213-230.

6- B. Selmi. Measure of relative multifractal exact dimensions. Advances and Applications in Mathematical Sciences. 17: (2018), 629-643.

5- B. Selmi. Some results about the regularities of multifractal measures. The Korean Journal of Mathematics. 26: (2018), 271-283.

4- B. Selmi, Y.N. Svetova.  On the projections of mutual $L^{q,t}$-spectrum. Probl. Anal. Issues Anal., 6 (24): (2017), 94 - 108. 

3- N. Attia, B. Selmi, Ch. Souissi.  Some density results of relative multifractal analysis. Chaos, Solitons & Fractals. 103: (2017), 1-11. 

2- B. Selmi. A note on the effect of projections on both measures and the generalization of q-dimension capacity. Probl. Anal. Issues Anal., 5 (23): (2016), 38-51.

1- Z. Douzi, B. Selmi. Multifractal variation for projections of measures. Chaos, Solitons & Fractals. 91: (2016), 414-420.