Inui, Kanji; Sumi, Hiroki Packing measure and dimension of the limit sets of IFSs of generalized complex continued fractions. (English) Zbl 07965408 J. Difference Equ. Appl. 31, No. 1, 32-47 (2025). MSC: 28A78 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ganguly, Shirshendu; Hegde, Milind Fractal structure in the directed landscape. (English) Zbl 07951270 Athreya, Siva (ed.) et al., Probability and stochastic processes. A volume in honour of Rajeeva L. Karandikar. Singpore: Springer. Indian Stat. Inst. Ser., 129-147 (2024). MSC: 60D05 × Cite Format Result Cite Review PDF Full Text: DOI
Block Gorman, Alexi; Schulz, Chris Fractal dimensions of \(k\)-automatic sets. (English) Zbl 07948997 J. Symb. Log. 89, No. 3, 1128-1157 (2024). MSC: 03D05 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mathematical modelling of complex patterns through fractals and dynamical systems. (English) Zbl 07934526 Studies in Infrastructure and Control. Singapore: Springer (ISBN 978-981-972342-3/hbk; 978-981-972345-4/pbk; 978-981-972343-0/ebook). xii, 217 p. (2024). MSC: 37-06 76-06 37Nxx 26A33 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
David, Claire; Lapidus, Michel L. Weierstrass fractal drums. II: Towards a fractal cohomology. (English) Zbl 07930930 Math. Z. 308, No. 2, Paper No. 35, 56 p. (2024). Reviewer: Kamel Mazhouda (Monastir) MSC: 11M36 11M41 28A75 28A80 35R02 53A70 55N10 55N20 × Cite Format Result Cite Review PDF Full Text: DOI
Dembin, Barbara Subcritical sharpness for fractal Boolean percolation. (English) Zbl 07923901 Electron. Commun. Probab. 29, Paper No. 40, 8 p. (2024). MSC: 82B43 82B26 82B27 60D05 60G55 28A80 × Cite Format Result Cite Review PDF Full Text: DOI Link
Vijay; Kumar, Gurunathan Saravana; Chand, A. K. B. A comprehensive discussion on various methods of generating fractal-like Bézier curves. (English) Zbl 07910915 Comput. Appl. Math. 43, No. 6, Paper No. 368, 19 p. (2024). MSC: 28A80 41A05 65D05 65D15 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hirano, Mitsuhiro; Nagahama, Hiroyuki Corrigendum to: “Informative fractal dimension associated with nonmetricity in information geometry”. (English) Zbl 07849158 Physica A 639, Article ID 129652, 3 p. (2024). MSC: 82-XX × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bosch, Tillmann; Winter, Steffen On the radial growth of ballistic aggregation and other aggregation models. (English) Zbl 1548.82030 J. Stat. Phys. 191, No. 4, Paper No. 42, 24 p. (2024). Reviewer: Nenad Manojlović (Faro) MSC: 82B24 60J10 60D05 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ren, Haojie A dichotomy for the dimension of SRB measure. (English) Zbl 1547.37038 Adv. Math. 442, Article ID 109587, 41 p. (2024). Reviewer: Luis Hernández Corbato (Madrid) MSC: 37C45 37C40 37E30 28A78 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baker, Simon; Koivusalo, Henna Quantitative recurrence and the shrinking target problem for overlapping iterated function systems. (English) Zbl 07826167 Adv. Math. 442, Article ID 109538, 65 p. (2024). MSC: 28A80 28D05 37C45 60F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lutz, Neil; Stull, D. M. Projection theorems using effective dimension. (English) Zbl 07825549 Inf. Comput. 297, Article ID 105137, 21 p. (2024). MSC: 68Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Tushar; Fishman, Lior; Simmons, David; Urbański, Mariusz A variational principle in the parametric geometry of numbers. (English) Zbl 07794565 Adv. Math. 437, Article ID 109435, 130 p. (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 11J13 28A80 28A78 37A15 37A17 91A05 91A44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Walser, Hans The golden ratio. Geometric and number theoretical considerations. 7th revised and expanded edition. (Der goldene Schnitt. Geometrische und zahlentheoretische Betrachtungen.) (German) Zbl 07972287 Berlin: Springer Spektrum (ISBN 978-3-662-68556-3/pbk; 978-3-662-68557-0/ebook). ix, 149 p. (2023). MSC: 00A05 51-01 00A69 × Cite Format Result Cite Review PDF Full Text: DOI
Lapidus, Michel L.; van Frankenhuijsen, Machiel; Voskanian, Edward K. Diffraction measures and patterns of the complex dimensions of self-similar fractal strings. I: The lattice case. (English) Zbl 07918260 Houston J. Math. 49, No. 4, 833-859 (2023). MSC: 28A80 28A33 52C23 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Mera, María Eugenia; Morán, Manuel Irregularity index and spherical densities of the penta-Sierpinski gasket. (English) Zbl 07792664 Mediterr. J. Math. 20, No. 6, Paper No. 322, 24 p. (2023). MSC: 28A78 28A80 28A75 × Cite Format Result Cite Review PDF Full Text: DOI
Škorpilová, Martina; Urbánková, Katka Soddy circles. (Czech) Zbl 1549.51001 Pokroky Mat. Fyz. Astron. 68, No. 2, 105-127 (2023). Reviewer: Jana Hromadová (Praha) MSC: 51-03 51M04 01A60 × Cite Format Result Cite Review PDF Full Text: Link
Wu, Sha; Liu, Jing-Cheng Infinite orthogonal exponentials for a class of Moran measures. (English) Zbl 1544.28001 Int. J. Math. 34, No. 14, Article ID 2350090, 14 p. (2023). Reviewer: Wen-hui Ai (Changsha) MSC: 28A80 42C05 46C05 × Cite Format Result Cite Review PDF Full Text: DOI
Rataj, Jan; Winter, Steffen; Zähle, Martina Mean Lipschitz-Killing curvatures for homogeneous random fractals. (English) Zbl 1538.28031 J. Fractal Geom. 10, No. 1-2, 1-42 (2023). MSC: 28A80 28A75 53C65 60D05 60G57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miao, Tongjun; Chen, Aimin; Yang, Xiaoya; Li, Zun; Liu, Hao; Yu, Boming Investigations on stress-dependent thermal conductivity of fractured rock by fractal theory. (English) Zbl 1526.74048 Fractals 31, No. 5, Article ID 2350061, 11 p. (2023). MSC: 74L10 74F05 74F10 74Q15 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Hirano, Mitsuhiro; Nagahama, Hiroyuki Informative fractal dimension associated with nonmetricity in information geometry. (English) Zbl 07723558 Physica A 625, Article ID 129017, 15 p. (2023); corrigendum ibid. 639, Article ID 129652, 3 p. (2024). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ren, Haojie Box dimension of the graphs of the generalized Weierstrass-type functions. (English) Zbl 07721216 Discrete Contin. Dyn. Syst. 43, No. 10, 3830-3838 (2023). MSC: 28A80 37D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Jing Cheng; Wang, Zhi Yong; Liu, Yao; Shi, Ya The spectrality of a class of fractal measures on \(\mathbb{R}^n \). (English) Zbl 07710160 Acta Math. Sin., Engl. Ser. 39, No. 5, 952-966 (2023). MSC: 28A80 42C05 46C05 × Cite Format Result Cite Review PDF Full Text: DOI
Walton, James J.; Whittaker, Michael F. An aperiodic tile with edge-to-edge orientational matching rules. (English) Zbl 1518.52016 J. Inst. Math. Jussieu 22, No. 4, 1727-1755 (2023). MSC: 52C23 37E25 05B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gelişgen, Özcan; Ermiş, Temel Inversions and fractal patterns in alpha plane. (English) Zbl 1515.28009 Int. Electron. J. Geom. 16, No. 1, 398-411 (2023). MSC: 28A80 51F05 51F99 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Tushar; Fishman, Lior; Simmons, David; Urbański, Mariusz Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism. (English) Zbl 1523.37032 Sel. Math., New Ser. 29, No. 2, Paper No. 19, 56 p. (2023). MSC: 37C45 37C30 37D35 37E05 37B10 28A78 28A80 11K50 11K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Falconer, Kenneth J.; Troscheit, Sascha Box-counting dimension in one-dimensional random geometry of multiplicative cascades. (English) Zbl 1512.28008 Commun. Math. Phys. 399, No. 1, 57-83 (2023). Reviewer: Peter Massopust (München) MSC: 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blanc-Renaudie, Arthur Compactness and fractal dimensions of inhomogeneous continuum random trees. (English) Zbl 1509.05156 Probab. Theory Relat. Fields 185, No. 3-4, 961-991 (2023). MSC: 05C80 05C05 60D05 60F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Urbański, Mariusz; Roy, Mario; Munday, Sara Non-invertible dynamical systems. Volume 3. Analytic endomorphisms of the Riemann sphere. (English) Zbl 1526.37003 De Gruyter Expositions in Mathematics 69, 3. Berlin: De Gruyter (ISBN 978-3-11-076984-5/hbk; 978-3-11-076987-6/ebook; 978-3-11-070679-6/set). xxvii, 925-1334 (2023). MSC: 37-02 30-02 37Bxx 37Dxx 37Fxx 30Cxx × Cite Format Result Cite Review PDF Full Text: DOI
El-Nabulsi, Rami Ahmad; Golmankhaneh, Alireza Khalili Nonstandard and fractal electrodynamics in Finsler-Randers space. (English) Zbl 07838337 Int. J. Geom. Methods Mod. Phys. 19, No. 6, Article ID 2250080, 23 p. (2022). MSC: 28A80 53B40 58C35 58C50 × Cite Format Result Cite Review PDF Full Text: DOI
Armandei, Mojtaba; Burgos, Diego F. S.; Savioli, Rafael The fractal version of the bond-based peridynamics method. (English) Zbl 1536.74011 Int. J. Numer. Methods Eng. 123, No. 3, 820-843 (2022). MSC: 74A70 74E05 74R20 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Qun; Zhang, Chengbin; Chen, Yongping Melting heat transfer improvement by venation-finned porous networks. (English) Zbl 1509.80004 Fractals 30, No. 9, Article ID 2250180, 19 p. (2022). MSC: 80A22 80A19 74F05 52C20 28A80 76S05 76M28 × Cite Format Result Cite Review PDF Full Text: DOI
Bachman, David; Goerner, Matthias; Schleimer, Saul; Segerman, Henry Cohomology fractals, Cannon-Thurston maps, and the geodesic flow. (English) Zbl 1520.57029 Exp. Math. 31, No. 4, 1047-1085 (2022). Reviewer: Shawn Rafalski (Fairfield) MSC: 57R19 53D25 57K32 28A80 37D40 57K35 68U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Xuezai; Shang, Xudong Uniform continuity of fractional order integral of fractal interpolation function. (English) Zbl 1520.28006 Fractals 30, No. 6, Article ID 2250125, 7 p. (2022). MSC: 28A80 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Dayan, Yiftach Random fractals and their intersection with winning sets. (English) Zbl 1510.28007 Math. Proc. Camb. Philos. Soc. 172, No. 3, 655-684 (2022). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 28A80 60J80 60D05 11K60 37C45 05C80 × Cite Format Result Cite Review PDF Full Text: DOI
Retière, N.; Sidqi, Y.; Frankhauser, P. A steady-state analysis of distribution networks by diffusion-limited-aggregation and multifractal geometry. (English) Zbl 07543456 Physica A 600, Article ID 127552, 17 p. (2022). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI Link
Xiao, Boqi; Li, Yupeng; Long, Gongbo A fractal model of power-law fluid through charged fibrous porous media by using the fractional-derivative theory. (English) Zbl 1494.76090 Fractals 30, No. 3, Article ID 2250072, 12 p. (2022). MSC: 76S05 76W05 76A05 28A80 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Wenhui; Prodanović, Maša; Yao, Jun; Zhang, Kai; Wang, Qiqi Analytical electrical conductivity models for single-phase and multi-phase fractal porous media. (English) Zbl 1494.76122 Fractals 30, No. 3, Article ID 2250060, 10 p. (2022). MSC: 76W05 76S05 28A80 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Xue, Runze; Duan, Rui; Ma, Yuanliang; Yang, Kunde Effects of weakly nonlinear waves on acoustic scattering from the ocean surface. (English) Zbl 1533.76097 J. Theor. Comput. Acoust. 29, No. 4, Article ID 2150007, 19 p. (2021). MSC: 76Q05 76B15 76-10 × Cite Format Result Cite Review PDF Full Text: DOI
Botet, Robert; Kwok, Sylvie; Cabane, Bernard Filling space with polydisperse spheres in a non-Apollonian way. (English) Zbl 1520.52012 J. Phys. A, Math. Theor. 54, No. 19, Article ID 195201, 18 p. (2021). MSC: 52C17 28A80 60D05 × Cite Format Result Cite Review PDF Full Text: DOI
Katiyar, S. K.; Chand, A. K. B.; Jha, S. Parameter identification of constrained data by a new class of rational fractal function. (Russian. English summary) Zbl 07617336 Sib. Zh. Vychisl. Mat. 24, No. 3, 261-276 (2021). MSC: 65Dxx 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv MNR
Lutz, Neil Fractal intersections and products via algorithmic dimension. (English) Zbl 1495.68104 ACM Trans. Comput. Theory 13, No. 3, Article No. 14, 15 p. (2021). MSC: 68Q30 28A80 × Cite Format Result Cite Review PDF Full Text: DOI Link
Lei, Lei; Jia, Qi; Zhao, Bing Mean Steiner distance of Vicsek networks. (English) Zbl 1491.05181 Fractals 29, No. 8, Article ID 2150261, 11 p. (2021). MSC: 05C82 28A80 51K05 × Cite Format Result Cite Review PDF Full Text: DOI
Jia, Qi; Lei, Lei; Xi, Lifeng Average Fermat distances on Vicsek networks. (English) Zbl 1491.05180 Fractals 29, No. 8, Article ID 2150249, 8 p. (2021). MSC: 05C82 28A80 51K05 × Cite Format Result Cite Review PDF Full Text: DOI
Aslan, N.; Saltan, M. On the construction of chaotic dynamical systems on the box fractal. (English) Zbl 1500.28004 Res. Math. 29, No. 2, 3-14 (2021). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 28A80 51F99 × Cite Format Result Cite Review PDF Full Text: DOI
Barnsley, Louisa F.; Barnsley, Michael F. Central open sets tilings. (English) Zbl 1485.28010 Walczak, Szymon (ed.), Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24–27, 2021. Warsaw: De Gruyter/Sciendo. 37-54 (2021). MSC: 28A80 05B45 52C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blackledge, J. M. On the evolution equation for modelling the Covid-19 pandemic. (English) Zbl 1484.92100 Agarwal, Praveen (ed.) et al., Analysis of infectious disease problems (Covid-19) and their global impact. Singapore: Springer. Infosys Sci. Found. Ser., 51-76 (2021). Reviewer: Yilun Shang (Newcastle) MSC: 92D30 37L05 60G50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Vijender, N.; Chand, A. K. B.; Navascués, M. A.; Sebastián, M. V. Quantum \(\alpha\)-fractal approximation. (English) Zbl 1494.28010 Int. J. Comput. Math. 98, No. 12, 2355-2368 (2021). MSC: 28A80 26A15 41A10 65D99 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Ying; Chen, Chen; Xi, Lifeng Average Fermat distance of a fractal tree. (English) Zbl 1493.28014 Fractals 29, No. 7, Article ID 2150212, 7 p. (2021). MSC: 28A80 51K05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Dongying; Song, Wenhui; Yao, Jun; Yang, Qianhong; Yan, Xia; Sun, Hai A fractal multiphase transport model in shale porous media with multiple transport mechanisms and rock-fluid interaction. (English) Zbl 1482.76120 Fractals 29, No. 2, Article ID 2150037, 21 p. (2021). MSC: 76S05 74F10 74L10 28A80 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Lapidus, Michel L.; Hùng, Lũ’; van Frankenhuijsen, Machiel \(p\)-adic fractal strings of arbitrary rational dimensions and Cantor strings. (English) Zbl 1485.11138 \(p\)-Adic Numbers Ultrametric Anal. Appl. 13, No. 3, 215-230 (2021). MSC: 11M41 35P20 11M06 11M26 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lima, Davi; Moreira, Carlos Gustavo Phase transitions on the Markov and Lagrange dynamical spectra. (English) Zbl 1483.37036 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 5, 1429-1459 (2021); erratum ibid. 41, No. 5, 1325-1326 (2024). Reviewer: Xu Zhang (Weihai) MSC: 37C35 37C45 37D05 11J06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pedersen, Steen; Shaw, Vincent T. Dimension of the intersection of certain Cantor sets in the plane. (English) Zbl 1471.28007 Opusc. Math. 41, No. 2, 227-244 (2021). MSC: 28A80 51F99 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Tushar; Fishman, Lior; Simmons, David; Urbański, Mariusz Extremality and dynamically defined measures. II: Measures from conformal dynamical systems. (English) Zbl 1469.11234 Ergodic Theory Dyn. Syst. 41, No. 8, 2311-2348 (2021). MSC: 11J83 28A75 37F35 11J13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Landry, Therese-Marie; Lapidus, Michel L.; Latrémolière, Frédéric Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves. (English) Zbl 1478.46072 Adv. Math. 385, Article ID 107771, 43 p. (2021). MSC: 46L89 46L87 46L30 58B34 34L40 53C22 58B20 58C40 81R60 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Peng; Li, Ping; Xiu, Guohua; Rodrigues, Alirio E. Modeling Riemann-Liouville fractional differential equations for diffusion and reaction in fractal porous media. (English) Zbl 1466.92307 J. Math. Chem. 59, No. 2, 459-475 (2021). MSC: 92E20 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Zuo, Yuting A gecko-like fractal receptor of a three-dimensional printing technology: a fractal oscillator. (English) Zbl 1466.92309 J. Math. Chem. 59, No. 3, 735-744 (2021). MSC: 92F05 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Shangina, Elena I. Geometric modeling of a topographic surface based on a fractal coordinate system. (English) Zbl 1464.68419 Cheng, Liang-Yee (ed.), ICGG 2020 – Proceedings of the 19th international conference on geometry and graphics, São Paulo, Brazil, January 18–22, 2021. Cham: Springer. Adv. Intell. Syst. Comput. 1296, 297-307 (2021). MSC: 68U05 28A80 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Vörös, László Hidden structures in tessellations of convex uniform honeycombs. (English) Zbl 1462.52035 Cheng, Liang-Yee (ed.), ICGG 2020 – Proceedings of the 19th international conference on geometry and graphics, São Paulo, Brazil, January 18–22, 2021. Cham: Springer. Adv. Intell. Syst. Comput. 1296, 69-81 (2021). MSC: 52C22 05B45 51M20 52B11 52B12 52B15 × Cite Format Result Cite Review PDF Full Text: DOI
Kombrink, Sabrina Renewal theorems and their application in fractal geometry. (English) Zbl 1470.60239 Freiberg, Uta (ed.) et al., Fractal geometry and stochastics VI. Selected papers of the 6th conference, Bad Herrenalb, Germany, September 30 – October 6, 2018. Cham: Birkhäuser. Prog. Probab. 76, 71-98 (2021). MSC: 60K05 60K15 28A80 28A75 × Cite Format Result Cite Review PDF Full Text: DOI Link
Basu, Riddhipratim; Ganguly, Shirshendu; Hammond, Alan Fractal geometry of \(\text{Airy}_2\) processes coupled via the Airy sheet. (English) Zbl 1457.82165 Ann. Probab. 49, No. 1, 485-505 (2021). MSC: 82B43 82D60 60K35 60H15 28A80 60J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Schweinhart, Benjamin Persistent homology and the upper box dimension. (English) Zbl 1471.55008 Discrete Comput. Geom. 65, No. 2, 331-364 (2021). Reviewer: Elizabeth Munch (East Lansing) MSC: 55N31 28A80 05D99 62R40 62R20 60B05 37F35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sibut-Bourde, Pierre Random Cantor sets. (Ensembles de Cantor aléatoires.) (French) Zbl 1498.60053 Quadrature 117, 23-27 (2020). Reviewer: Antoine Julia (Paris) MSC: 60D05 28A78 28A80 60J80 × Cite Format Result Cite Review PDF
Caldarola, Fabio; Maiolo, Mario On the topological convergence of multi-rule sequences of sets and fractal patterns. (English) Zbl 1509.28007 Soft Comput. 24, No. 23, 17737-17749 (2020). MSC: 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Wenhui; Yao, Jun; Li, Yang; Sun, Hai; Wang, Dongying; Yan, Xia Gas-water relative permeabilities fractal model in dual-wettability multiscale shale porous media during injected water spontaneous imbibition and flow back process. (English) Zbl 1500.76087 Fractals 28, No. 7, Article ID 2050103, 23 p. (2020). MSC: 76S05 76T30 76-10 28A80 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Sarkheil, Hamid; Rahbari, Shahrokh; Rayegani, Behzad Conversion based fuzzy fractal dimension integrating self-similarity and porosity, via DFS and FIS (Mamdani and Sugeno systems). (English) Zbl 1495.93049 Chaos Solitons Fractals 140, Article ID 110183, 15 p. (2020). MSC: 93C42 93C99 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Yuan; Ma, Yan Simulation of fractal tree based on iteration function system. (Chinese. English summary) Zbl 1474.05049 J. Shanghai Norm. Univ., Nat. Sci. 49, No. 5, 541-546 (2020). MSC: 05C05 28A80 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Hinnant, Vandorn MATH/ART via the REST of Euclid. (English) Zbl 1462.00053 J. Math. Arts 14, No. 1-2, 77-80 (2020). MSC: 00A66 51M16 × Cite Format Result Cite Review PDF Full Text: DOI
Troshin, P. I. Koch fractal in non-Euclidean geometries. (English. Russian original) Zbl 1462.53007 Russ. Math. 64, No. 6, 86-90 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 6, 99-103 (2020). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 53A35 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Baake, Michael; Grimm, Uwe Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings. (English) Zbl 1462.11060 Doc. Math. 25, 2303-2337 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K70 42B10 52C23 37B10 37F25 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lutz, Neil; Stull, D. M. Bounding the dimension of points on a line. (English) Zbl 1496.68160 Inf. Comput. 275, Article ID 104601, 16 p. (2020). MSC: 68Q30 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Xuezai; Wang, Minggang; Shang, Xudong Fourier series representation of fractal interpolation function. (English) Zbl 1441.28011 Fractals 28, No. 4, Article ID 2050063, 7 p. (2020). MSC: 28A80 42A16 × Cite Format Result Cite Review PDF Full Text: DOI
Shmerkin, Pablo; Suomala, Ville Patterns in random fractals. (English) Zbl 1445.05108 Am. J. Math. 142, No. 3, 683-749 (2020). Reviewer: George Stoica (Saint John) MSC: 05D40 28A75 60C05 05C55 28A78 28A80 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cristea, Ligia L.; Leobacher, Gunther Supermixed labyrinth fractals. (English) Zbl 1445.28007 J. Fractal Geom. 7, No. 2, 183-218 (2020). Reviewer: Symon Serbenyuk (Kyiv) MSC: 28A80 05C05 05C38 28A75 51M25 54D05 54F50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
López, Marco Antonio Shrinking targets for non-autonomous systems. (English) Zbl 1475.37026 Nonlinearity 33, No. 7, 3568-3593 (2020). Reviewer: Juan Luis García Guirao (Cartagena) MSC: 37B55 37B20 37D35 37A25 37A44 28A78 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Inui, Kanji; Sumi, Hiroki Hausdorff measures and packing measures of limit sets of CIFSs of generalized complex continued fractions. (English) Zbl 1437.28011 J. Difference Equ. Appl. 26, No. 1, 104-121 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 28A80 37F35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Inui, Kanji; Okada, Hikaru; Sumi, Hiroki The Hausdorff dimension function of the family of conformal iterated function systems of generalized complex continued fractions. (English) Zbl 1429.28015 Discrete Contin. Dyn. Syst. 40, No. 2, 753-766 (2020). MSC: 28A80 37F35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Reddy, K. M.; Chand, A. K. B. Constrained univariate and bivariate rational fractal interpolation. (English) Zbl 07880244 Int. J. Comput. Methods Eng. Sci. Mech. 20, No. 5, 404-422 (2019). MSC: 65Dxx 41Axx 28Axx × Cite Format Result Cite Review PDF Full Text: DOI
Damron, Michael; Tang, Pengfei Superlinearity of geodesic length in 2D critical first-passage percolation. (English) Zbl 1446.82034 Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. II. Brownian web and percolation, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 299, 101-122 (2019). MSC: 82B43 82B20 82B27 60D05 28A75 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shelekhov, A. M. On fractal constructions on curvilinear three-web. (English. Russian original) Zbl 1510.53015 Russ. Math. 63, No. 9, 55-62 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 9, 63-72 (2019). MSC: 53A60 20N02 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xinchang; Ouyang, Peichang; Chung, Kwokwai; Zhan, Xiaogen; Yi, Hua; Tang, Xiaosong Fractal tilings from substitution tilings. (English) Zbl 1433.52025 Fractals 27, No. 2, Article ID 1950009, 8 p. (2019). MSC: 52C20 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Yefremov, A. P. The fractal structure of space entails origin of Pauli’s equation. (English) Zbl 1437.83101 Gravit. Cosmol. 25, No. 4, 305-309 (2019). MSC: 83D05 83E05 83C47 81S10 × Cite Format Result Cite Review PDF Full Text: DOI
Naud, Frédéric; Pohl, Anke; Soares, Louis Fractal Weyl bounds and Hecke triangle groups. (English) Zbl 1433.30110 Electron. Res. Announc. Math. Sci. 26, 24-35 (2019). MSC: 30F35 11M36 37F32 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Özdemir, Yunus; Saltan, Mustafa; Demir, Bünyamin The intrinsic metric on the box fractal. (English) Zbl 1426.28022 Bull. Iran. Math. Soc. 45, No. 5, 1269-1281 (2019). MSC: 28A80 51F99 × Cite Format Result Cite Review PDF Full Text: DOI
Barnsley, M. F.; Vince, A. Self-similar tilings of fractal blow-ups. (English) Zbl 1427.52014 Niemeyer, Robert G. (ed.) et al., Horizons of fractal geometry and complex dimensions. 2016 summer school on fractal geometry and complex dimensions, in celebration of the 60th birthday of Michel Lapidus, California Polytechnic State University, San Luis Obispo, California, USA, June 21–29, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 731, 41-62 (2019). MSC: 52C22 37B51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arauza Rivera, Andrea Spectral triples for the variants of the Sierpiński gasket. (English) Zbl 1428.28010 J. Fractal Geom. 6, No. 3, 205-246 (2019). Reviewer: Peter Massopust (München) MSC: 28A80 34L40 46L51 46L87 53C22 58B34 58C35 58C40 81R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liang, Liming; Chen, Mingli; Liu, Bowen; Wu, Jian The selection of SVM kernel function based on fractal theory. (Chinese. English summary) Zbl 1438.68091 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 43, No. 3, 309-313, 319 (2019). MSC: 68T05 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Calcagni, Gianluca Multifractional spacetimes from the Standard Model to cosmology. (English) Zbl 1421.81161 Int. J. Geom. Methods Mod. Phys. 16, Suppl. 1, Article ID 1940004, 14 p. (2019). MSC: 81V22 81V17 81Q35 83D05 83F05 83-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shynkarenko, V. I. Constructive-synthesizing representation of geometric fractals. (English. Russian original) Zbl 1423.28028 Cybern. Syst. Anal. 55, No. 2, 186-199 (2019); translation from Kibern. Sist. Anal. 2019, No. 2, 22-35 (2019). MSC: 28A80 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hingee, Kassel; Baddeley, Adrian; Caccetta, Peter; Nair, Gopalan Computation of lacunarity from covariance of spatial binary maps. (English) Zbl 1426.62347 J. Agric. Biol. Environ. Stat. 24, No. 2, 264-288 (2019). MSC: 62P12 60D05 62M30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Dyatlov, Semyon [Borthwick, David; Weich, Tobias] Improved fractal Weyl bounds for hyperbolic manifolds (with an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich). (English) Zbl 1420.35035 J. Eur. Math. Soc. (JEMS) 21, No. 6, 1595-1639 (2019). MSC: 35B34 35P20 11F72 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramšak, Matjaž Multidomain BEM for laminar flow in complex fractal geometry. (English) Zbl 1464.76106 Eng. Anal. Bound. Elem. 101, 310-317 (2019). MSC: 76M15 65M38 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Vörös, László Geometrical structures of planar and spatial tessellations based on 3D models of higher dimensional cubes. (English) Zbl 1400.51015 Cocchiarella, Luigi (ed.), ICGG 2018 – Proceedings of the 18th international conference on geometry and graphics. 40th anniversary – Milan, Italy, August 3–7, 2018. In 2 volumes. Cham: Springer; Milan: Politecnico de Milano (ISBN 978-3-319-95587-2/pbk; 978-3-319-95588-9/ebook). Advances in Intelligent Systems and Computing 809, 458-470 (2019). MSC: 51M15 × Cite Format Result Cite Review PDF Full Text: DOI
Dunham, Douglas; Shier, John A property of area and perimeter. (English) Zbl 1400.51020 Cocchiarella, Luigi (ed.), ICGG 2018 – Proceedings of the 18th international conference on geometry and graphics. 40th anniversary – Milan, Italy, August 3–7, 2018. In 2 volumes. Cham: Springer; Milan: Politecnico de Milano (ISBN 978-3-319-95587-2/pbk; 978-3-319-95588-9/ebook). Advances in Intelligent Systems and Computing 809, 228-237 (2019). MSC: 51M25 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Florindo, Joao B.; Bruno, Odemir M. Texture classification using non-Euclidean Minkowski dilation. (English) Zbl 1502.68352 Physica A 493, 189-202 (2018). MSC: 68U10 68T10 × Cite Format Result Cite Review PDF Full Text: DOI
Moreira, Carlos Gustavo Tamm De Araujo Dynamical systems, fractal geometry and Diophantine approximations. (English) Zbl 1451.37006 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 731-757 (2018). MSC: 37-02 37D20 11J06 28A80 37C29 37D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sidiropoulos, Anastasios; Singhal, Kritika; Sridhar, Vijay Fractal dimension and lower bounds for geometric problems. (English) Zbl 1489.68374 Speckmann, Bettina (ed.) et al., 34th international symposium on computational geometry, SoCG 2018, June 11–14, 2018, Budapest, Hungary. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 99, Article 70, 14 p. (2018). MSC: 68U05 28A80 68Q17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cicalò, Serena The PJS technique and the construction of the first origami level-4 Menger sponge. (English) Zbl 1443.51024 Lang, Robert J. (ed.) et al., Origami\(^7\). The proceedings from the 7th international meeting on origami in science, mathematics, and education, 7 OSME, Oxford, UK, September 4–7, 2018. Volume 2. Mathematics. St. Albans: Tarquin. 653-668 (2018). MSC: 51M20 51M15 × Cite Format Result Cite Review PDF