Kumar, D.; Chand, A. K. B.; Massopust, P. R. Approximation with fractal radial basis functions. (English) Zbl 07901832 J. Comput. Appl. Math. 454, Article ID 116200, 21 p. (2025). MSC: 28A80 41A05 41A29 65D12 PDFBibTeX XMLCite \textit{D. Kumar} et al., J. Comput. Appl. Math. 454, Article ID 116200, 21 p. (2025; Zbl 07901832) Full Text: DOI
Yu, Binyan; Liang, Yongshun On the Katugampola fractional integral and dimensional analysis of the fractal basin boundary for a random dynamical system. (English) Zbl 07908460 Physica D 468, Article ID 134289, 16 p. (2024). MSC: 26A33 28A80 37C45 PDFBibTeX XMLCite \textit{B. Yu} and \textit{Y. Liang}, Physica D 468, Article ID 134289, 16 p. (2024; Zbl 07908460) Full Text: DOI
Deng, Qi Rong; He, Xing Gang; Li, Ming Tian; Ye, Yuan Ling The orthogonal bases of exponential functions based on Moran-Sierpinski measures. (English) Zbl 07904911 Acta Math. Sin., Engl. Ser. 40, No. 7, 1804-1824 (2024). MSC: 28A33 42C05 28A80 42C30 PDFBibTeX XMLCite \textit{Q. R. Deng} et al., Acta Math. Sin., Engl. Ser. 40, No. 7, 1804--1824 (2024; Zbl 07904911) Full Text: DOI
Kittle, Samuel Absolutely continuous self-similar measures with exponential separation. (English. French summary) Zbl 07904676 Ann. Sci. Éc. Norm. Supér. (4) 57, No. 4, 1191-1231 (2024). MSC: 28A80 60G18 11P70 PDFBibTeX XMLCite \textit{S. Kittle}, Ann. Sci. Éc. Norm. Supér. (4) 57, No. 4, 1191--1231 (2024; Zbl 07904676) Full Text: DOI
Liu, Shishuang; Li, Yanzhe; Zong, Wenqi; An, Chengshuai Hausdorff dimension and upper box dimension of a class of homogeneous Moran sets. (English) Zbl 07903387 Dyn. Syst. 39, No. 3, 449-460 (2024). MSC: 28A78 28A80 PDFBibTeX XMLCite \textit{S. Liu} et al., Dyn. Syst. 39, No. 3, 449--460 (2024; Zbl 07903387) Full Text: DOI
Tarocchi, Matteo Generation and simplicity in the airplane rearrangement group. (English) Zbl 07903051 Groups Geom. Dyn. 18, No. 2, 603-634 (2024). MSC: 20F65 20E32 20F05 20F38 28A80 PDFBibTeX XMLCite \textit{M. Tarocchi}, Groups Geom. Dyn. 18, No. 2, 603--634 (2024; Zbl 07903051) Full Text: DOI arXiv OA License
Dai, Xin-Rong; Fu, Xiao-Ye; Yan, Zhi-Hui Spectral properties of Sierpinski measures on \(\mathbb{R}^n\). (English) Zbl 07901579 Constr. Approx. 60, No. 1, 165-196 (2024). MSC: 28A80 05B20 42B10 42C30 PDFBibTeX XMLCite \textit{X.-R. Dai} et al., Constr. Approx. 60, No. 1, 165--196 (2024; Zbl 07901579) Full Text: DOI
Pandey, Megha; Som, Tanmoy; Verma, Saurabh Set-valued \(\alpha \)-fractal functions. (English) Zbl 07901577 Constr. Approx. 60, No. 1, 105-133 (2024). MSC: 28A80 41A10 PDFBibTeX XMLCite \textit{M. Pandey} et al., Constr. Approx. 60, No. 1, 105--133 (2024; Zbl 07901577) Full Text: DOI arXiv
Pyörälä, Aleksi Resonance between planar self-affine measures. (English) Zbl 07900894 Adv. Math. 451, Article ID 109770, 56 p. (2024). MSC: 28A80 37A10 PDFBibTeX XMLCite \textit{A. Pyörälä}, Adv. Math. 451, Article ID 109770, 56 p. (2024; Zbl 07900894) Full Text: DOI arXiv
Xiao, Jian-Ci Estimates on the topological Hausdorff dimensions of fractal squares. (English) Zbl 07900737 Topology Appl. 355, Article ID 109003, 14 p. (2024). MSC: 28A80 54A05 PDFBibTeX XMLCite \textit{J.-C. Xiao}, Topology Appl. 355, Article ID 109003, 14 p. (2024; Zbl 07900737) Full Text: DOI
Gibbs, A.; Hewett, D. P.; Major, B. Numerical evaluation of singular integrals on non-disjoint self-similar fractal sets. (English) Zbl 07899578 Numer. Algorithms 97, No. 1, 311-343 (2024). MSC: 65-XX 65D30 28A80 PDFBibTeX XMLCite \textit{A. Gibbs} et al., Numer. Algorithms 97, No. 1, 311--343 (2024; Zbl 07899578) Full Text: DOI arXiv OA License
Li, Qian; Zhang, Min-Min Spectrality of planar Moran-Sierpinski-type measures. (English) Zbl 07898776 Rev. Unión Mat. Argent. 67, No. 1, 65-80 (2024). MSC: 46E30 42Cxx 42A65 28A80 PDFBibTeX XMLCite \textit{Q. Li} and \textit{M.-M. Zhang}, Rev. Unión Mat. Argent. 67, No. 1, 65--80 (2024; Zbl 07898776) Full Text: DOI
Zhang, Xinyun; Zhong, Wenmin Exact Diophantine approximation of real numbers by \(\beta\)-expansions. (English) Zbl 07896606 Discrete Contin. Dyn. Syst. 44, No. 9, 2684-2696 (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 28A80 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{W. Zhong}, Discrete Contin. Dyn. Syst. 44, No. 9, 2684--2696 (2024; Zbl 07896606) Full Text: DOI
Cao, Yong-Shen; Deng, Qi-Rong; Li, Ming-Tian; Wu, Sha A note on the spectrality of Moran-type Bernoulli convolutions by Deng and Li. (English) Zbl 07896524 Bull. Malays. Math. Sci. Soc. (2) 47, No. 4, Paper No. 127, 14 p. (2024). MSC: 42A85 42C05 42A65 28A78 28A80 PDFBibTeX XMLCite \textit{Y.-S. Cao} et al., Bull. Malays. Math. Sci. Soc. (2) 47, No. 4, Paper No. 127, 14 p. (2024; Zbl 07896524) Full Text: DOI
Rahimkhani, P.; Sedaghat, S.; Ordokhani, Y. An effective computational solver for fractal-fractional 2D integro-differential equations. (English) Zbl 07895379 J. Appl. Math. Comput. 70, No. 4, 3411-3440 (2024). MSC: 28A80 41A35 49K20 PDFBibTeX XMLCite \textit{P. Rahimkhani} et al., J. Appl. Math. Comput. 70, No. 4, 3411--3440 (2024; Zbl 07895379) Full Text: DOI
Anderson, Theresa C.; Lehrbäck, Juha; Mudarra, Carlos; Vähäkangas, Antti V. Weakly porous sets and Muckenhoupt \(A_p\) distance functions. (English) Zbl 07895008 J. Funct. Anal. 287, No. 8, Article ID 110558, 34 p. (2024). MSC: 42B25 28A75 28A80 46E35 PDFBibTeX XMLCite \textit{T. C. Anderson} et al., J. Funct. Anal. 287, No. 8, Article ID 110558, 34 p. (2024; Zbl 07895008) Full Text: DOI arXiv
Shah, Kamal; Sarwar, Muhammad; Abdeljawad, Thabet; Shafiullah Sufficient criteria for the existence of solution to nonlinear fractal-fractional order coupled system with coupled integral boundary conditions. (English) Zbl 07893838 J. Appl. Math. Comput. 70, No. 2, 1771-1785 (2024). MSC: 26A33 34A08 28A80 PDFBibTeX XMLCite \textit{K. Shah} et al., J. Appl. Math. Comput. 70, No. 2, 1771--1785 (2024; Zbl 07893838) Full Text: DOI
Li, Rao; Lü, Fan; Zhou, Li Run-length function of the Bolyai-Rényi expansion of real numbers. (English) Zbl 07893382 Czech. Math. J. 74, No. 1, 319-335 (2024). MSC: 11K55 28A80 PDFBibTeX XMLCite \textit{R. Li} et al., Czech. Math. J. 74, No. 1, 319--335 (2024; Zbl 07893382) Full Text: DOI
Wanic, M.; Toklikishvili, Z.; Mishra, S. K.; Trybus, M.; Chotorlishvili, L. Magnetoelectric fractals, magnetoelectric parametric resonance and Hopf bifurcation. (English) Zbl 07893186 Physica D 467, Article ID 134257, 14 p. (2024). MSC: 34C60 37C60 78A30 37J40 28A80 34C23 34C25 PDFBibTeX XMLCite \textit{M. Wanic} et al., Physica D 467, Article ID 134257, 14 p. (2024; Zbl 07893186) Full Text: DOI arXiv
Achour, Rim; Selmi, Bilel Some properties of new general fractal measures. (English) Zbl 07891494 Monatsh. Math. 204, No. 4, 659-678 (2024). MSC: 28A20 28A75 28A78 28A80 49Q15 PDFBibTeX XMLCite \textit{R. Achour} and \textit{B. Selmi}, Monatsh. Math. 204, No. 4, 659--678 (2024; Zbl 07891494) Full Text: DOI
Orponen, Tuomas On the discretised \(ABC\) sum-product problem. (English) Zbl 07891366 Trans. Am. Math. Soc. 377, No. 7, 4647-4702 (2024). MSC: 11B30 28A80 PDFBibTeX XMLCite \textit{T. Orponen}, Trans. Am. Math. Soc. 377, No. 7, 4647--4702 (2024; Zbl 07891366) Full Text: DOI arXiv
Cheng, Qingjin; Luo, Chunyan Analytical properties, fractal dimensions and related inequalities of \((k, h)\)-Riemann-Liouville fractional integrals. (English) Zbl 07890850 J. Comput. Appl. Math. 450, Article ID 115999, 19 p. (2024). MSC: 26A33 26B30 28A78 28A80 PDFBibTeX XMLCite \textit{Q. Cheng} and \textit{C. Luo}, J. Comput. Appl. Math. 450, Article ID 115999, 19 p. (2024; Zbl 07890850) Full Text: DOI
Li, Wenxia; Miao, Jun Jie; Wang, Zhiqiang Spectrality of infinite convolutions and random convolutions. (English) Zbl 07890705 J. Funct. Anal. 287, No. 7, Article ID 110539, 35 p. (2024). MSC: 42A85 42C30 28A80 PDFBibTeX XMLCite \textit{W. Li} et al., J. Funct. Anal. 287, No. 7, Article ID 110539, 35 p. (2024; Zbl 07890705) Full Text: DOI arXiv
Wardowski, Dariusz Continuity dependence of attractors of iterated function systems with orbital condition. (English) Zbl 07888032 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 239, 14 p. (2024). MSC: 28A80 37C70 54H20 PDFBibTeX XMLCite \textit{D. Wardowski}, Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 239, 14 p. (2024; Zbl 07888032) Full Text: DOI OA License
Qiu, Hua; Wang, Qi; Wang, Shufang \(L^q\)-spectra of graph-directed planar non-conformal measures. (English) Zbl 07885187 Nonlinearity 37, No. 9, Article ID 095003, 25 p. (2024). MSC: 28A80 PDFBibTeX XMLCite \textit{H. Qiu} et al., Nonlinearity 37, No. 9, Article ID 095003, 25 p. (2024; Zbl 07885187) Full Text: DOI
Mihail, Alexandru; Savu, Irina \(\varphi\)-contractive parent-child possibly infinite IFSs and orbital \(\varphi\)-contractive possibly infinite IFSs. (English) Zbl 07884564 Fixed Point Theory 25, No. 1, 229-248 (2024). MSC: 28A80 37C70 37C25 PDFBibTeX XMLCite \textit{A. Mihail} and \textit{I. Savu}, Fixed Point Theory 25, No. 1, 229--248 (2024; Zbl 07884564) Full Text: DOI arXiv
Li, Wenxia; Wang, Zhiqiang The spectrality of infinite convolutions in \(\mathbb{R}^d\). (English) Zbl 07882009 J. Fourier Anal. Appl. 30, No. 3, Paper No. 35, 27 p. (2024). MSC: 28A80 42B05 42C30 PDFBibTeX XMLCite \textit{W. Li} and \textit{Z. Wang}, J. Fourier Anal. Appl. 30, No. 3, Paper No. 35, 27 p. (2024; Zbl 07882009) Full Text: DOI arXiv
Fu, Yan-Song; Tang, Min-Wei Existence of exponential orthonormal bases for infinite convolutions on \(\mathbb{R}^n\). (English) Zbl 07882005 J. Fourier Anal. Appl. 30, No. 3, Paper No. 31, 43 p. (2024). MSC: 42A85 42B05 42B10 42C05 42A38 28A80 PDFBibTeX XMLCite \textit{Y.-S. Fu} and \textit{M.-W. Tang}, J. Fourier Anal. Appl. 30, No. 3, Paper No. 31, 43 p. (2024; Zbl 07882005) Full Text: DOI
Tsougkas, Konstantinos A connection between discrete and regularized Laplacian determinants on fractals. (English) Zbl 07881352 J. Phys. A, Math. Theor. 57, No. 28, Article ID 285207, 19 p. (2024). MSC: 28A80 37-XX PDFBibTeX XMLCite \textit{K. Tsougkas}, J. Phys. A, Math. Theor. 57, No. 28, Article ID 285207, 19 p. (2024; Zbl 07881352) Full Text: DOI arXiv
Kumar, D.; Chand, A. K. B.; Massopust, P. R. Shape preserving fractal multiquadric quasi-interpolation. (English) Zbl 07878220 Comput. Appl. Math. 43, No. 5, Paper No. 281, 26 p. (2024). MSC: 28A80 41A05 41A25 41A29 41A46 PDFBibTeX XMLCite \textit{D. Kumar} et al., Comput. Appl. Math. 43, No. 5, Paper No. 281, 26 p. (2024; Zbl 07878220) Full Text: DOI OA License
Schied, Alexander; Zhang, Zhenyuan Weierstrass bridges. (English) Zbl 07876038 Trans. Am. Math. Soc. 377, No. 4, 2947-2989 (2024). MSC: 60G22 60G15 60G17 28A80 PDFBibTeX XMLCite \textit{A. Schied} and \textit{Z. Zhang}, Trans. Am. Math. Soc. 377, No. 4, 2947--2989 (2024; Zbl 07876038) Full Text: DOI arXiv
Moroz, Mykola Representation of real numbers by Perron series, their geometry, and some applications. (English. Ukrainian original) Zbl 07873244 J. Math. Sci., New York 279, No. 3, 384-399 (2024); translation from Neliniĭni Kolyvannya 26, No. 2, 247-260 (2023). MSC: 11K55 11K50 28A80 PDFBibTeX XMLCite \textit{M. Moroz}, J. Math. Sci., New York 279, No. 3, 384--399 (2024; Zbl 07873244); translation from Neliniĭni Kolyvannya 26, No. 2, 247--260 (2023) Full Text: DOI
Tamayo Castro, Carlos Daniel; Bory Reyes, Juan; Abreu Blaya, Ricardo Reduction procedure for obtaining solutions of the scalar additive jump problem and Riemann boundary value problem in vectorial Clifford analysis. (English) Zbl 07871993 Math. Methods Appl. Sci. 47, No. 11, 8611-8625 (2024). MSC: 30G35 28A80 30G30 30E25 PDFBibTeX XMLCite \textit{C. D. Tamayo Castro} et al., Math. Methods Appl. Sci. 47, No. 11, 8611--8625 (2024; Zbl 07871993) Full Text: DOI arXiv OA License
Orponen, Tuomas On the Hausdorff dimension of radial slices. (English) Zbl 07871757 Ann. Fenn. Math. 49, No. 1, 183-209 (2024). MSC: 28A80 28A78 PDFBibTeX XMLCite \textit{T. Orponen}, Ann. Fenn. Math. 49, No. 1, 183--209 (2024; Zbl 07871757) Full Text: DOI arXiv
Falconer, Kenneth J.; Hu, Jiaxin; Zhang, Junda A dichotomy on the self-similarity of graph-directed attractors. (English) Zbl 07871288 J. Fractal Geom. 11, No. 1-2, 161-204 (2024). MSC: 28A80 05C20 PDFBibTeX XMLCite \textit{K. J. Falconer} et al., J. Fractal Geom. 11, No. 1--2, 161--204 (2024; Zbl 07871288) Full Text: DOI arXiv OA License
Freiberg, Uta; Heizmann, Nico; Kaiser, Robin; Sava-Huss, Ecaterina Internal aggregation models with multiple sources and obstacle problems on Sierpiński gaskets. (English) Zbl 07871287 J. Fractal Geom. 11, No. 1-2, 111-160 (2024). MSC: 31E05 60J10 60J45 31C20 28A80 35R35 PDFBibTeX XMLCite \textit{U. Freiberg} et al., J. Fractal Geom. 11, No. 1--2, 111--160 (2024; Zbl 07871287) Full Text: DOI arXiv OA License
Jin, Xiong Spectral representation of one-dimensional Liouville Brownian motion and Liouville Brownian excursion. (English) Zbl 07871286 J. Fractal Geom. 11, No. 1-2, 85-109 (2024). MSC: 60J65 60G22 60D05 28A80 34K08 PDFBibTeX XMLCite \textit{X. Jin}, J. Fractal Geom. 11, No. 1--2, 85--109 (2024; Zbl 07871286) Full Text: DOI arXiv OA License
Nakajima, Yuto Transversal family of non-autonomous conformal iterated function systems. (English) Zbl 07871285 J. Fractal Geom. 11, No. 1-2, 57-84 (2024). MSC: 28A80 28A35 PDFBibTeX XMLCite \textit{Y. Nakajima}, J. Fractal Geom. 11, No. 1--2, 57--84 (2024; Zbl 07871285) Full Text: DOI arXiv OA License
Nieradko, Mikołaj; Olszewski, Mariusz Good labeling property of simple nested fractals. (English) Zbl 07871284 J. Fractal Geom. 11, No. 1-2, 31-56 (2024). MSC: 37-XX 28A80 05B25 PDFBibTeX XMLCite \textit{M. Nieradko} and \textit{M. Olszewski}, J. Fractal Geom. 11, No. 1--2, 31--56 (2024; Zbl 07871284) Full Text: DOI arXiv OA License
Fu, Yuqiu; Ren, Kevin Incidence estimates for \(\alpha \)-dimensional tubes and \(\beta \)-dimensional balls in \(\mathbb{R}^2\). (English) Zbl 07871283 J. Fractal Geom. 11, No. 1-2, 1-30 (2024). MSC: 28A80 28A75 42B10 PDFBibTeX XMLCite \textit{Y. Fu} and \textit{K. Ren}, J. Fractal Geom. 11, No. 1--2, 1--30 (2024; Zbl 07871283) Full Text: DOI arXiv OA License
Botet, Robert; Rannou, Pascal; Tazaki, Ryo The importance of the local structure of fractal aggregates. (English) Zbl 07871155 J. Phys. A, Math. Theor. 57, No. 11, Article ID 115001, 21 p. (2024). MSC: 82-XX 28A80 PDFBibTeX XMLCite \textit{R. Botet} et al., J. Phys. A, Math. Theor. 57, No. 11, Article ID 115001, 21 p. (2024; Zbl 07871155) Full Text: DOI
Qureshi, Sania; Soomro, Amanullah; Naseem, Amir; Gdawiec, Krzysztof; Argyros, Ioannis K.; Alshaery, Aisha A.; Secer, Aydin From Halley to secant: redefining root finding with memory-based methods including convergence and stability. (English) Zbl 07869339 Math. Methods Appl. Sci. 47, No. 7, 5509-5531 (2024). MSC: 65H05 41A25 28A80 46N40 PDFBibTeX XMLCite \textit{S. Qureshi} et al., Math. Methods Appl. Sci. 47, No. 7, 5509--5531 (2024; Zbl 07869339) Full Text: DOI
Jiang, Kan; Kong, Derong; Li, Wenxia; Wang, Zhiqiang Rational points in translations of the Cantor set. (English) Zbl 07869081 Indag. Math., New Ser. 35, No. 3, 516-522 (2024). MSC: 11J13 28A80 PDFBibTeX XMLCite \textit{K. Jiang} et al., Indag. Math., New Ser. 35, No. 3, 516--522 (2024; Zbl 07869081) Full Text: DOI arXiv
Grigor’yan, Alexander; Hu, Eryan; Hu, Jiaxin Parabolic mean value inequality and on-diagonal upper bound of the heat kernel on doubling spaces. (English) Zbl 07867538 Math. Ann. 389, No. 3, 2411-2467 (2024). MSC: 35K08 28A80 60J35 PDFBibTeX XMLCite \textit{A. Grigor'yan} et al., Math. Ann. 389, No. 3, 2411--2467 (2024; Zbl 07867538) Full Text: DOI
Cao, Jian; Lu, Jian-Feng; Zhang, Min-Min Spectral structure of Moran Sierpinski-type measure on \(\mathbb{R}^2\). (English) Zbl 07867507 Nonlinearity 37, No. 7, Article ID 075004, 25 p. (2024). MSC: 28A80 42C05 PDFBibTeX XMLCite \textit{J. Cao} et al., Nonlinearity 37, No. 7, Article ID 075004, 25 p. (2024; Zbl 07867507) Full Text: DOI
Wu, Sha; Xiao, Yingqing Spectrality of a class of infinite convolutions on \(\mathbb{R}\). (English) Zbl 07867478 Nonlinearity 37, No. 5, Article ID 055015, 23 p. (2024). MSC: 28A25 28A80 42C05 46C05 PDFBibTeX XMLCite \textit{S. Wu} and \textit{Y. Xiao}, Nonlinearity 37, No. 5, Article ID 055015, 23 p. (2024; Zbl 07867478) Full Text: DOI arXiv
Hu, Zhang-nan; Persson, Tomas Hausdorff dimension of recurrence sets. (English) Zbl 07867473 Nonlinearity 37, No. 5, Article ID 055010, 22 p. (2024). MSC: 37C45 37D20 28A80 PDFBibTeX XMLCite \textit{Z.-n. Hu} and \textit{T. Persson}, Nonlinearity 37, No. 5, Article ID 055010, 22 p. (2024; Zbl 07867473) Full Text: DOI arXiv
Golmankhaneh, Alireza Khalili; Welch, Kerri; Serpa, Cristina; Jørgensen, Palle E. T. Fractal Mellin transform and non-local derivatives. (English) Zbl 07864233 Georgian Math. J. 31, No. 3, 423-436 (2024). MSC: 28A80 34B05 34M45 PDFBibTeX XMLCite \textit{A. K. Golmankhaneh} et al., Georgian Math. J. 31, No. 3, 423--436 (2024; Zbl 07864233) Full Text: DOI arXiv
Liu, Jian-Guo; Pego, Robert L. A simple construction of fat Cantor sets. (English) Zbl 07864127 Am. Math. Mon. 131, No. 6, 525 (2024). MSC: 26A30 28A80 PDFBibTeX XMLCite \textit{J.-G. Liu} and \textit{R. L. Pego}, Am. Math. Mon. 131, No. 6, 525 (2024; Zbl 07864127) Full Text: DOI
Banaji, Amlan; Kolossváry, István Intermediate dimensions of Bedford-McMullen carpets with applications to Lipschitz equivalence. (English) Zbl 07863032 Adv. Math. 449, Article ID 109735, 69 p. (2024). MSC: 28A80 28A78 37C45 PDFBibTeX XMLCite \textit{A. Banaji} and \textit{I. Kolossváry}, Adv. Math. 449, Article ID 109735, 69 p. (2024; Zbl 07863032) Full Text: DOI arXiv
Rapaport, Ariel On self-affine measures associated to strongly irreducible and proximal systems. (English) Zbl 07863031 Adv. Math. 449, Article ID 109734, 116 p. (2024). MSC: 28A80 37C45 PDFBibTeX XMLCite \textit{A. Rapaport}, Adv. Math. 449, Article ID 109734, 116 p. (2024; Zbl 07863031) Full Text: DOI arXiv
Creo, Simone; Lancia, Maria Rosaria The \(p\)-curl system in extension domains. (English) Zbl 07862951 Discrete Contin. Dyn. Syst., Ser. S 17, No. 5-6, 2208-2223 (2024). MSC: 35K59 28A80 35A23 47H20 35B40 35Q61 PDFBibTeX XMLCite \textit{S. Creo} and \textit{M. R. Lancia}, Discrete Contin. Dyn. Syst., Ser. S 17, No. 5--6, 2208--2223 (2024; Zbl 07862951) Full Text: DOI
Ban, Jung-Chao; Hu, Wen-Guei; Lai, Guan-Yu Hausdorff dimension of multidimensional multiplicative subshifts. (English) Zbl 07861149 Ergodic Theory Dyn. Syst. 44, No. 5, 1239-1268 (2024). MSC: 28A80 37C45 28A78 PDFBibTeX XMLCite \textit{J.-C. Ban} et al., Ergodic Theory Dyn. Syst. 44, No. 5, 1239--1268 (2024; Zbl 07861149) Full Text: DOI
Cao, Shiping; Qiu, Hua Dirichlet forms on unconstrained Sierpinski carpets. (English) Zbl 07859949 Probab. Theory Relat. Fields 189, No. 1-2, 613-657 (2024). MSC: 28A80 31E05 PDFBibTeX XMLCite \textit{S. Cao} and \textit{H. Qiu}, Probab. Theory Relat. Fields 189, No. 1--2, 613--657 (2024; Zbl 07859949) Full Text: DOI arXiv
Yang, Ya-Min; Yuan, Qihan; Zhang, Yuan Doubling properties of self-similar measures and Bernoulli measures on self-affine Sierpiński sponges. (English) Zbl 07858217 Indiana Univ. Math. J. 73, No. 2, 475-492 (2024). MSC: 28A80 28A78 37F20 PDFBibTeX XMLCite \textit{Y.-M. Yang} et al., Indiana Univ. Math. J. 73, No. 2, 475--492 (2024; Zbl 07858217) Full Text: DOI
Wang, Jin-Feng; Zhou, Qing-Long Exceptional sets related to the product of consecutive digits in Lüroth expansions. (English) Zbl 07857957 Publ. Math. Debr. 104, No. 3-4, 279-314 (2024). MSC: 11K55 28A80 11J83 PDFBibTeX XMLCite \textit{J.-F. Wang} and \textit{Q.-L. Zhou}, Publ. Math. Debr. 104, No. 3--4, 279--314 (2024; Zbl 07857957) Full Text: DOI
Kong, D.; Wang, Z. Fractal sumset properties. (English) Zbl 07857905 Acta Math. Hung. 172, No. 2, 400-412 (2024). MSC: 28A80 11B13 28A78 PDFBibTeX XMLCite \textit{D. Kong} and \textit{Z. Wang}, Acta Math. Hung. 172, No. 2, 400--412 (2024; Zbl 07857905) Full Text: DOI arXiv
Mohammadpour, Reza; Park, Kiho Uniform quasi-multiplicativity of locally constant cocycles and applications. (English) Zbl 07856582 Stud. Math. 275, No. 1, 85-98 (2024). MSC: 37B10 37D35 37H15 28A80 PDFBibTeX XMLCite \textit{R. Mohammadpour} and \textit{K. Park}, Stud. Math. 275, No. 1, 85--98 (2024; Zbl 07856582) Full Text: DOI arXiv
Kong, Derong; Li, Wenxia; Wang, Zhiqiang; Yao, Yuanyuan; Zhang, Yunxiu On the union of homogeneous symmetric Cantor set with its translations. (English) Zbl 07855991 Math. Z. 307, No. 2, Paper No. 35, 20 p. (2024). MSC: 28A80 28A78 PDFBibTeX XMLCite \textit{D. Kong} et al., Math. Z. 307, No. 2, Paper No. 35, 20 p. (2024; Zbl 07855991) Full Text: DOI arXiv
Souza, Diogo L. M.; Gabrick, Enrique C.; Protachevicz, Paulo R.; Borges, Fernando S.; Trobia, José; Iarosz, Kelly C.; Batista, Antonio M.; Caldas, Iberê L.; Lenzi, Ervin K. Adaptive exponential integrate-and-fire model with fractal extension. (English) Zbl 1537.92021 Chaos 34, No. 2, Article ID 023107, 9 p. (2024). MSC: 92C20 28A80 34A08 PDFBibTeX XMLCite \textit{D. L. M. Souza} et al., Chaos 34, No. 2, Article ID 023107, 9 p. (2024; Zbl 1537.92021) Full Text: DOI arXiv
Creo, Simone; Lancia, Maria Rosaria Dynamic boundary conditions for time dependent fractional operators on extension domains. (English) Zbl 07854803 Adv. Differ. Equ. 29, No. 9-10, 727-756 (2024). MSC: 35R11 35K20 35K58 35K90 47D06 28A80 PDFBibTeX XMLCite \textit{S. Creo} and \textit{M. R. Lancia}, Adv. Differ. Equ. 29, No. 9--10, 727--756 (2024; Zbl 07854803) Full Text: DOI arXiv
Meng, Chunyu Fundamental equations of contact mechanics for fractal solid surfaces. (English) Zbl 07854279 Acta Mech. 235, No. 4, 1877-1885 (2024). MSC: 74M15 74A50 74S60 28A80 PDFBibTeX XMLCite \textit{C. Meng}, Acta Mech. 235, No. 4, 1877--1885 (2024; Zbl 07854279) Full Text: DOI
Hossain, Alamgir; Akhtar, Md. Nasim; Navascués, Maria A. Fractal interpolation on the real projective plane. (English) Zbl 07853020 Numer. Algorithms 96, No. 2, 557-582 (2024). MSC: 65-XX 28A80 41Axx PDFBibTeX XMLCite \textit{A. Hossain} et al., Numer. Algorithms 96, No. 2, 557--582 (2024; Zbl 07853020) Full Text: DOI arXiv
Donhauzer, Illia; Olenko, Andriy Limit theorems for multifractal products of random fields. (English) Zbl 1539.60060 J. Math. Anal. Appl. 531, No. 1, Part 2, Article ID 127888, 32 p. (2024). MSC: 60G60 60G15 28A80 60G57 PDFBibTeX XMLCite \textit{I. Donhauzer} and \textit{A. Olenko}, J. Math. Anal. Appl. 531, No. 1, Part 2, Article ID 127888, 32 p. (2024; Zbl 1539.60060) Full Text: DOI arXiv
Fang, Lulu; Shang, Lei On the exact rate of convergence of digits in Engel expansions. (English) Zbl 07852346 J. Math. Anal. Appl. 531, No. 1, Part 1, Article ID 127726, 16 p. (2024). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 11K55 28A80 28A75 PDFBibTeX XMLCite \textit{L. Fang} and \textit{L. Shang}, J. Math. Anal. Appl. 531, No. 1, Part 1, Article ID 127726, 16 p. (2024; Zbl 07852346) Full Text: DOI
Hussain, Mumtaz; Shi, Junjie An exponentially shrinking problem. (English) Zbl 07852332 J. Math. Anal. Appl. 531, No. 1, Part 1, Article ID 127771, 9 p. (2024). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J83 28A80 28A78 PDFBibTeX XMLCite \textit{M. Hussain} and \textit{J. Shi}, J. Math. Anal. Appl. 531, No. 1, Part 1, Article ID 127771, 9 p. (2024; Zbl 07852332) Full Text: DOI arXiv
Costa, Fernando jun. Self-similar fractals and common hypercyclicity. (English) Zbl 07852278 J. Funct. Anal. 287, No. 3, Article ID 110473, 36 p. (2024). MSC: 47A16 47B37 28A80 28A78 PDFBibTeX XMLCite \textit{F. Costa jun.}, J. Funct. Anal. 287, No. 3, Article ID 110473, 36 p. (2024; Zbl 07852278) Full Text: DOI arXiv
Wang, Zhi-Min Orthogonal exponential functions on the three-dimensional Sierpinski gasket. (English) Zbl 07852101 Complex Anal. Oper. Theory 18, No. 4, Paper No. 88, 14 p. (2024). MSC: 28A80 PDFBibTeX XMLCite \textit{Z.-M. Wang}, Complex Anal. Oper. Theory 18, No. 4, Paper No. 88, 14 p. (2024; Zbl 07852101) Full Text: DOI
Huang, Liang-yi; Zhang, Yuan Lipschitz classification of Bedford-McMullen carpets with locally uniform horizontal fibers. (English) Zbl 07851521 Topology Appl. 350, Article ID 108906, 16 p. (2024). MSC: 28A80 26A16 PDFBibTeX XMLCite \textit{L.-y. Huang} and \textit{Y. Zhang}, Topology Appl. 350, Article ID 108906, 16 p. (2024; Zbl 07851521) Full Text: DOI
Wang, Yanqing; Wu, Gang Fractal dimension of potential singular points set in the Navier-Stokes equations under supercritical regularity. (English) Zbl 1539.35177 Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 3, 727-745 (2024). MSC: 35Q30 76D05 35D30 11K55 28A80 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{G. Wu}, Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 3, 727--745 (2024; Zbl 1539.35177) Full Text: DOI arXiv
Cao, Shiping; Qiu, Hua Brownian motion on the golden ratio Sierpinski gasket. (English) Zbl 07850889 Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 3, 699-726 (2024). MSC: 28A80 31E05 PDFBibTeX XMLCite \textit{S. Cao} and \textit{H. Qiu}, Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 3, 699--726 (2024; Zbl 07850889) Full Text: DOI arXiv
Liu, Haidong Some generalized Ostrowski- and Ostrowski-Grüss-type inequalities on fractal sets and their applications. (English) Zbl 07848728 J. Integral Equations Appl. 36, No. 1, 77-88 (2024). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 26A33 26D15 28A80 PDFBibTeX XMLCite \textit{H. Liu}, J. Integral Equations Appl. 36, No. 1, 77--88 (2024; Zbl 07848728) Full Text: DOI Link
Gurubachan; Chandramouli, V. V. M. S.; Verma, S. Fractal dimension of \(\alpha\)-fractal functions without endpoint conditions. (English) Zbl 07846858 Mediterr. J. Math. 21, No. 3, Paper No. 71, 23 p. (2024). MSC: 28A80 46E15 47H09 PDFBibTeX XMLCite \textit{Gurubachan} et al., Mediterr. J. Math. 21, No. 3, Paper No. 71, 23 p. (2024; Zbl 07846858) Full Text: DOI
Dąbrowski, Damian; Orponen, Tuomas; Wang, Hong: How much can heavy lines cover? (English) Zbl 07846313 J. Lond. Math. Soc., II. Ser. 109, No. 5, Article ID e12910, 33 p. (2024). MSC: 28A80 28A78 PDFBibTeX XMLCite \textit{D. Dąbrowski} et al., J. Lond. Math. Soc., II. Ser. 109, No. 5, Article ID e12910, 33 p. (2024; Zbl 07846313) Full Text: DOI arXiv OA License
Glasscock, Daniel; Moreira, Joel; Richter, Florian K. Additive and geometric transversality of fractal sets in the integers. (English) Zbl 07846305 J. Lond. Math. Soc., II. Ser. 109, No. 5, Article ID e12902, 55 p. (2024). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 11A63 28A80 11K55 37C45 PDFBibTeX XMLCite \textit{D. Glasscock} et al., J. Lond. Math. Soc., II. Ser. 109, No. 5, Article ID e12902, 55 p. (2024; Zbl 07846305) Full Text: DOI arXiv OA License
Allahverdiev, Bilender P.; Tuna, Hüseyin Existence theorem for a fractal Sturm-Liouville problem. (English) Zbl 07845711 Vladikavkaz. Mat. Zh. 26, No. 1, 27-35 (2024). MSC: 28A80 34A08 35A01 PDFBibTeX XMLCite \textit{B. P. Allahverdiev} and \textit{H. Tuna}, Vladikavkaz. Mat. Zh. 26, No. 1, 27--35 (2024; Zbl 07845711) Full Text: DOI MNR
Chi, Zi-Chao; Lu, Jian-Feng; Zhang, Min-Min A class of spectral Moran measures generated by the compatible tower. (English) Zbl 1537.42046 J. Geom. Anal. 34, No. 7, Paper No. 201, 30 p. (2024). MSC: 42C05 42A65 42A20 46C05 28A80 42B10 PDFBibTeX XMLCite \textit{Z.-C. Chi} et al., J. Geom. Anal. 34, No. 7, Paper No. 201, 30 p. (2024; Zbl 1537.42046) Full Text: DOI
Miculescu, Radu; Pasupathi, R. Contractive multivariate zipper fractal interpolation functions. (English) Zbl 07845565 Result. Math. 79, No. 4, Paper No. 151, 23 p. (2024). MSC: 28A80 41A05 58F12 PDFBibTeX XMLCite \textit{R. Miculescu} and \textit{R. Pasupathi}, Result. Math. 79, No. 4, Paper No. 151, 23 p. (2024; Zbl 07845565) Full Text: DOI OA License
Wu, Yu-Liang; Wu, Zhi-Yi Beurling densities of regular maximal orthogonal sets of self-similar spectral measure with consecutive digit sets. (English) Zbl 07845426 Forum Math. 36, No. 3, 735-742 (2024). MSC: 28A80 42C05 PDFBibTeX XMLCite \textit{Y.-L. Wu} and \textit{Z.-Y. Wu}, Forum Math. 36, No. 3, 735--742 (2024; Zbl 07845426) Full Text: DOI arXiv
Banaji, Amlan Microthesis: Intermediate dimensions. (English) Zbl 1536.28002 Lond. Math. Soc., Newsl. 2024, No. 511, 29-30 (2024). MSC: 28A80 PDFBibTeX XMLCite \textit{A. Banaji}, Lond. Math. Soc., Newsl. 2024, No. 511, 29--30 (2024; Zbl 1536.28002) Full Text: Link
Banaji, Amlan; Fraser, Jonathan M. Assouad type dimensions of infinitely generated self-conformal sets. (English) Zbl 07844477 Nonlinearity 37, No. 4, Article ID 045004, 32 p. (2024). MSC: 28A80 37B10 11K50 PDFBibTeX XMLCite \textit{A. Banaji} and \textit{J. M. Fraser}, Nonlinearity 37, No. 4, Article ID 045004, 32 p. (2024; Zbl 07844477) Full Text: DOI arXiv OA License
Fang, Lulu; Ma, Jihua; Song, Kunkun; Yang, Xin Multifractal analysis of convergence exponents for products of consecutive partial quotients in continued fractions. (English) Zbl 07844476 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 4, 1594-1608 (2024). MSC: 11K50 28A80 PDFBibTeX XMLCite \textit{L. Fang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 4, 1594--1608 (2024; Zbl 07844476) Full Text: DOI
Balka, Richárd; Keleti, Tamás Lipschitz images and dimensions. (English) Zbl 07842514 Adv. Math. 446, Article ID 109669, 23 p. (2024). MSC: 28A78 28A80 51F30 54E45 PDFBibTeX XMLCite \textit{R. Balka} and \textit{T. Keleti}, Adv. Math. 446, Article ID 109669, 23 p. (2024; Zbl 07842514) Full Text: DOI arXiv
Karvatskyi, Dmytro; Murillo, Aniceto; Viruel, Antonio The achievement set of generalized multigeometric sequences. (English) Zbl 07841584 Result. Math. 79, No. 4, Paper No. 132, 11 p. (2024). Reviewer: Szymon Glab (Łódź) MSC: 40A05 11B05 28A80 PDFBibTeX XMLCite \textit{D. Karvatskyi} et al., Result. Math. 79, No. 4, Paper No. 132, 11 p. (2024; Zbl 07841584) Full Text: DOI arXiv OA License
Feng, Zhou Intermediate dimensions under self-affine codings. (English) Zbl 07841460 Math. Z. 307, No. 1, Paper No. 21, 29 p. (2024). MSC: 28A80 37C45 31B15 60G22 PDFBibTeX XMLCite \textit{Z. Feng}, Math. Z. 307, No. 1, Paper No. 21, 29 p. (2024; Zbl 07841460) Full Text: DOI arXiv OA License
Peng, Liuqing; Wu, Jun; Xu, Jian Hausdorff dimension of certain sets related to random \(\alpha \beta\)-orbits which are not dense. (English) Zbl 07841164 J. Number Theory 261, 22-35 (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 11J71 28A80 PDFBibTeX XMLCite \textit{L. Peng} et al., J. Number Theory 261, 22--35 (2024; Zbl 07841164) Full Text: DOI
Verma, Manuj; Priyadarshi, Amit Fractal functions using weak contraction theory in some function spaces and generalized \(\alpha\)-fractal functions. (English) Zbl 07840367 Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 219-236 (2024). MSC: 28A80 33C47 41A30 PDFBibTeX XMLCite \textit{M. Verma} and \textit{A. Priyadarshi}, Contemp. Math. 797, 219--236 (2024; Zbl 07840367) Full Text: DOI
Chandra, Subhash; Abbas, Syed On fractal dimension of the graph of nonstationary fractal interpolation function. (English) Zbl 07840364 Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 173-187 (2024). MSC: 28A80 41A30 33C47 PDFBibTeX XMLCite \textit{S. Chandra} and \textit{S. Abbas}, Contemp. Math. 797, 173--187 (2024; Zbl 07840364) Full Text: DOI
Bezuglyi, Sergey; Jorgensen, Palle E. T. IFS measures on generalized Bratteli diagrams. (English) Zbl 07840362 Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 123-145 (2024). MSC: 28A33 28A80 37B10 46G12 60J22 PDFBibTeX XMLCite \textit{S. Bezuglyi} and \textit{P. E. T. Jorgensen}, Contemp. Math. 797, 123--145 (2024; Zbl 07840362) Full Text: DOI arXiv
Berkove, Ethan; Karangozishvili, Elene; Smith, Derek Geodesics in generalizations of the Sierpinski carpet. (English) Zbl 07840361 Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 99-122 (2024). MSC: 28A80 54E35 PDFBibTeX XMLCite \textit{E. Berkove} et al., Contemp. Math. 797, 99--122 (2024; Zbl 07840361) Full Text: DOI
Massopust, Peter R. Fractal interpolation over curves. (English) Zbl 07840358 Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 61-73 (2024). MSC: 28A80 46B25 46E15 51F30 PDFBibTeX XMLCite \textit{P. R. Massopust}, Contemp. Math. 797, 61--73 (2024; Zbl 07840358) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Tian, James F. Polymorphisms, their associated operator theory, self-similar fractals, and harmonic analysis. (English) Zbl 07840357 Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 37-59 (2024). MSC: 46N30 47N30 28A50 28A80 28D05 37A30 60G15 60G60 60H05 46N50 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{J. F. Tian}, Contemp. Math. 797, 37--59 (2024; Zbl 07840357) Full Text: DOI
Dajani, Karma; Li, Wenxia; Zhang, Tingyu Random beta-transformations on fat Sierpinski gaskets. (English) Zbl 07840356 Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 15-35 (2024). MSC: 37H12 37A05 28A80 PDFBibTeX XMLCite \textit{K. Dajani} et al., Contemp. Math. 797, 15--35 (2024; Zbl 07840356) Full Text: DOI arXiv
Caetano, A. M.; Chandler-Wilde, S. N.; Gibbs, A.; Hewett, D. P.; Moiola, A. A Hausdorff-measure boundary element method for acoustic scattering by fractal screens. (English) Zbl 07839431 Numer. Math. 156, No. 2, 463-532 (2024). MSC: 28A80 45A05 46E35 65N38 65R20 PDFBibTeX XMLCite \textit{A. M. Caetano} et al., Numer. Math. 156, No. 2, 463--532 (2024; Zbl 07839431) Full Text: DOI arXiv OA License
Eriksson-Bique, Sylvester A new Hausdorff content bound for limsup sets. (English) Zbl 07839369 Adv. Math. 445, Article ID 109638, 52 p. (2024). MSC: 28A78 28A75 30L99 28A80 49Q15 26B30 31E05 54E35 PDFBibTeX XMLCite \textit{S. Eriksson-Bique}, Adv. Math. 445, Article ID 109638, 52 p. (2024; Zbl 07839369) Full Text: DOI arXiv
Megala, M.; Prasad, Srijanani Anurag Spectrum of self-affine measures on the Sierpinski family. (English) Zbl 07838045 Monatsh. Math. 204, No. 1, 157-169 (2024). MSC: 28A80 42C05 46C05 PDFBibTeX XMLCite \textit{M. Megala} and \textit{S. A. Prasad}, Monatsh. Math. 204, No. 1, 157--169 (2024; Zbl 07838045) Full Text: DOI
Onitsuka, Masakazu; Tanaka, Satoshi Influence of nonlinearity to box-counting dimensions of spiral orbits for two-dimensional differential systems. (English) Zbl 07835946 Bull. Sci. Math. 192, Article ID 103417, 27 p. (2024). MSC: 34C05 34D05 28A80 26B15 37C45 14H50 37C60 PDFBibTeX XMLCite \textit{M. Onitsuka} and \textit{S. Tanaka}, Bull. Sci. Math. 192, Article ID 103417, 27 p. (2024; Zbl 07835946) Full Text: DOI
Rapaport, Ariel; Varjú, Péter P. Self-similar measures associated to a homogeneous system of three maps. (English) Zbl 07835917 Duke Math. J. 173, No. 3, 513-602 (2024). MSC: 28A80 42A85 PDFBibTeX XMLCite \textit{A. Rapaport} and \textit{P. P. Varjú}, Duke Math. J. 173, No. 3, 513--602 (2024; Zbl 07835917) Full Text: DOI arXiv Link
Liu, Guanhua Existence of self-similar Dirichlet forms on post-critically finite fractals in terms of their resistances. (English) Zbl 07835549 Manuscr. Math. 174, No. 1-2, 597-647 (2024). MSC: 28A80 31C25 31E05 47D07 60J46 PDFBibTeX XMLCite \textit{G. Liu}, Manuscr. Math. 174, No. 1--2, 597--647 (2024; Zbl 07835549) Full Text: DOI
Liu, Lei; Zhao, Cao Multifractal analysis of local polynomial entropies. (English) Zbl 07834628 Front. Math. (Beijing) 19, No. 1, 89-105 (2024). MSC: 37B40 37C45 28D20 28A80 PDFBibTeX XMLCite \textit{L. Liu} and \textit{C. Zhao}, Front. Math. (Beijing) 19, No. 1, 89--105 (2024; Zbl 07834628) Full Text: DOI