Sarizadeh, Aliasghar Attractor for minimal iterated function systems. (English) Zbl 07981490 Collect. Math. 76, No. 1, 105-111 (2025). MSC: 37B55 37B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mengue, Jairo K.; Oliveira, Elismar R. Large deviation for Gibbs probabilities at zero temperature and invariant idempotent probabilities for iterated function systems. (English) Zbl 07979645 J. Stat. Phys. 192, No. 2, Paper No. 18, 23 p. (2025). MSC: 37A30 37A50 28A33 46E27 60B10 60F10 15A80 37C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Kubiś, Wiesław; Miculescu, Radu; Mihail, Alexandru; Nowak, Magdalena On the connectivity of graph Lipscomb’s spaces. (English) Zbl 07962343 J. Fixed Point Theory Appl. 27, No. 1, Paper No. 1, 17 p. (2025). MSC: 28A80 37C70 54D05 54B15 54C25 37E25 05C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Saisai; Zhang, Yuan; Liu, Jia Shrinking target problems in \(d\)-decaying Gauss-like iterated function systems. (English) Zbl 07922170 J. Math. Anal. Appl. 541, No. 1, Article ID 128680, 17 p. (2025). MSC: 28Axx 11Kxx 37Dxx × Cite Format Result Cite Review PDF Full Text: DOI
Glavan, Vasile; Guțu, Valeriu On the attractors of weakly hyperbolic IFS’s with condensation. (English) Zbl 07976267 Bul. Acad. Științe Repub. Mold., Mat. 2024, No. 1(104)-2(105), 100-108 (2024). MSC: 28A80 35B41 52A20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Nan; Jiao, Lixin; Wang, Lidong; Shi, Shaoyun Various shadowing properties of iterated function systems. (English) Zbl 07967479 Houston J. Math. 50, No. 1, 93-108 (2024). MSC: 37-XX 37C50 × Cite Format Result Cite Review PDF Full Text: Link
Attia, Najmeddine; Jebali, Hajer On the box dimension of recurrent fractal interpolation functions defined with Matkowski contractions. (English) Zbl 07965092 J. Anal. 32, No. 6, 3453-3474 (2024). MSC: 28A80 37C45 41A30 × Cite Format Result Cite Review PDF Full Text: DOI
Takahashi, Yuki Exiting measures for random walks on infinite rooted trees. (English) Zbl 07964472 Nonauton. Dyn. Syst. 11, Article ID 20240007, 11 p. (2024). MSC: 28Dxx 37Hxx × Cite Format Result Cite Review PDF Full Text: DOI
Tryniecki, Rafał The packing measure of the linear Gauss system. (English) Zbl 07954202 J. Fractal Geom. 11, No. 3-4, 397-421 (2024). MSC: 37E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Solomyak, Boris On nonlinear iterated function systems with overlaps. (English) Zbl 07954200 J. Fractal Geom. 11, No. 3-4, 373-387 (2024). MSC: 28A80 37E05 20M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bárány, Balázs; Domokos, Gábor; Szesztay, Ágoston On an abrasion-motivated fractal model. (English) Zbl 07948171 Nonlinearity 37, No. 12, Article ID 125024, 25 p. (2024). MSC: 28A80 28A78 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cunha, Matheus G. C.; Novaes, Douglas D.; Ponce, Gabriel On the Hausdorff dimension and Cantor set structure of sliding shilnikov invariant sets. (English) Zbl 07948170 Nonlinearity 37, No. 12, Article ID 125023, 22 p. (2024). MSC: 34A36 34C37 34C28 28A78 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nakajima, Yuto; Takahashi, Yuki Generalized invariant measures for non-autonomous conformal iterated function systems. (English) Zbl 07939224 Nonlinearity 37, No. 12, Article ID 125001, 19 p. (2024). MSC: 28A80 28A35 × Cite Format Result Cite Review PDF Full Text: DOI
Schleischitz, Johannes Dirichlet is not just bad and singular in many rational IFS fractals. (English) Zbl 07936836 Q. J. Math. 75, No. 1, 11-29 (2024). MSC: 11J13 28A78 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bonatti, Christian; Shinohara, Katsutoshi A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class. (English) Zbl 07932135 Ergodic Theory Dyn. Syst. 44, No. 8, 2080-2142 (2024). MSC: 37C05 37C25 37C75 37D30 37B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Massopust, Peter Fractal hypersurfaces, affine Weyl groups, and wavelet sets. (English) Zbl 07928415 J. Anal. 32, No. 1, 399-431 (2024). MSC: 28A80 20F55 51F15 17B22 37L30 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Dubey, Shivam; Verma, Saurabh Inhomogeneous graph-directed attractors and fractal measures. (English) Zbl 07928405 J. Anal. 32, No. 1, 157-170 (2024). MSC: 28A80 28A33 × Cite Format Result Cite Review PDF Full Text: DOI
Bortolotti, Ricardo; Silva, Eberson; Varandas, Paulo Regularity of the Hausdorff dimension of some hyperbolic systems. (English) Zbl 07922146 J. Math. Anal. Appl. 539, No. 1, Part 2, Article ID 128512, 21 p. (2024). Reviewer: Sascha Troscheit (Oulu) MSC: 37D05 37C45 37C70 × Cite Format Result Cite Review PDF Full Text: DOI
Panti, Giovanni Purely periodic continued fractions and graph-directed iterated function systems. (English) Zbl 07920335 Ramanujan J. 65, No. 1, 447-475 (2024). MSC: 11K50 37E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Si, Hongying; Liang, Yali; Zhang, Junjie Topological entropy for non-autonomous iterated function systems. (English) Zbl 07917829 J. Difference Equ. Appl. 30, No. 9, 1354-1369 (2024). MSC: 37B40 37B55 × Cite Format Result Cite Review PDF Full Text: DOI
Ju, Yujun; Liu, Huoxia; Yang, Qigui Entropy of non-autonomous iterated function systems. (English) Zbl 07917577 Result. Math. 79, No. 5, Paper No. 204, 29 p. (2024). MSC: 37B55 37B40 28D20 × Cite Format Result Cite Review PDF Full Text: DOI
Fuh, Cheng-Der; Pang, Tianxiao Asymptotic behavior of the maximum likelihood estimator for general Markov switching models. (English) Zbl 07901845 Stat. Sin. 34, No. 3, 1367-1389 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Gelfert, Katrin; Salcedo, Graccyela Synchronization rates and limit laws for random dynamical systems. (English) Zbl 07899644 Math. Z. 308, No. 1, Paper No. 10, 35 p. (2024). MSC: 37H12 37E10 60F05 54C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rabodonandrianandraina, Vahatra Fenosoa Random walk on the Poincaré disk. (English) Zbl 07895566 Stoch. Dyn. 24, No. 2, Article ID 2450015, 36 p. (2024). MSC: 37H12 60K50 05C81 37F35 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thangaraj, C.; Easwaramoorthy, D.; Selmi, Bilel; Chamola, Bhagwati Prasad Generation of fractals via iterated function system of Kannan contractions in controlled metric space. (English) Zbl 07875946 Math. Comput. Simul. 222, 188-198 (2024). MSC: 54-XX 37-XX × Cite Format Result Cite Review PDF Full Text: DOI
Mengue, Jairo K.; Oliveira, Elismar R. Invariant measures for place-dependent idempotent iterated function systems. (English) Zbl 1543.37010 J. Fixed Point Theory Appl. 26, No. 2, Paper No. 19, 35 p. (2024). MSC: 37A50 37A30 37H10 08A72 15A80 28A33 46E27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Singh, Moirangthem Binodkumar; Devi, Thiyam Thadoi; Mangang, Khundrakpam Binod; Wang, Huoyun Topological entropy, topological pressure and topological pseudo entropy of iterated function systems on uniform spaces. (English) Zbl 1547.37025 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 214, 17 p. (2024). MSC: 37B40 54E15 54E40 54C70 × Cite Format Result Cite Review PDF Full Text: DOI
Mihalache, Nicolae On the local connectivity of attractors of Markov IFS. (English) Zbl 1542.37015 Fundam. Math. 264, No. 3, 309-319 (2024). MSC: 37B35 37B45 37B02 47H09 54E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nakajima, Yuto Mandelbrot set for fractal \(n\)-gons and zeros of power series. (English) Zbl 07851523 Topology Appl. 350, Article ID 108918, 12 p. (2024). Reviewer: Kevin M. Pilgrim (Bloomington) MSC: 37F05 37F46 37F20 30D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bortz, Darby; Cummings, Nicholas; Gao, Suyi; Jaffe, Elias; Mai, Lan; Steinhurst, Benjamin; Tillotson, Pauline Self-similar structure of \(k\)- and biperiodic Fibonacci words. (English) Zbl 1537.68160 PUMP J. Undergrad. Res. 7, 1-13 (2024). MSC: 68R15 11B39 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Shaw, Eve; Vellis, Vyron Parametrizability of infinitely generated attractors. (English) Zbl 07808133 Ann. Fenn. Math. 49, No. 1, 81-97 (2024). MSC: 28A80 26A16 28A75 53A04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Prithvi, B. V.; Katiyar, S. K. Comments on “Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric”. (English) Zbl 07792359 Topology Appl. 341, Article ID 108687, 11 p. (2024). MSC: 28A80 37C25 47H04 47H09 47H10 54H25 × Cite Format Result Cite Review PDF Full Text: DOI
Nowak, Magdalena Pointwise attractors which are not strict. (English) Zbl 1533.37054 Indag. Math., New Ser. 35, No. 1, 119-130 (2024). MSC: 37B35 54C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ngai, Sze-Man; Zhao, Wen-Quan \(L^q\)-spectrum of a class of self-similar measures. (English) Zbl 07949215 Asian J. Math. 27, No. 6, 867-892 (2023). MSC: 28A80 28A78 × Cite Format Result Cite Review PDF Full Text: DOI
da Cunha, Rudnei D.; Oliveira, Elismar R.; Strobin, Filip Fuzzy-set approach to invariant idempotent measures. (English) Zbl 1543.28010 Fuzzy Sets Syst. 457, 46-65 (2023). MSC: 28E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mihailescu, Eugen Dimensions of measures, degrees, and folding entropy in dynamics. (English) Zbl 07831192 Rev. Roum. Math. Pures Appl. 68, No. 1-2, 149-167 (2023). MSC: 28A80 37D20 37D35 37A35 37C70 × Cite Format Result Cite Review PDF Full Text: DOI
Verma, Manuj; Priyadarshi, Amit; Verma, Saurabh Fractal dimension for a class of complex-valued fractal interpolation functions. (English) Zbl 1532.28017 Som, Tanmoy (ed.) et al., Applied analysis, optimization and soft computing. ICNAAO-2021, Varanasi, India, December 21–23, 2021. Singapore: Springer. Springer Proc. Math. Stat. 419, 63-77 (2023). MSC: 28A80 41A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghosh, S.; Saha, P.; Roy, S.; Choudhury, B. S. Strong coupled fixed points and applications to fractal generations in fuzzy metric spaces. (English) Zbl 1532.54027 Probl. Anal. Issues Anal. 12(30), No. 3, 50-68 (2023). MSC: 54H25 47H10 37C25 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Devi, Thiyam Thadoi; Mangang, Khundrakpam Binod; Lalhmangaihzuala Topological ergodic shadowing and topological pseudo-orbital specification of IFS on uniform spaces. (English) Zbl 1536.37026 Nonlinear Funct. Anal. Appl. 28, No. 4, 929-942 (2023). MSC: 37B65 37B05 54E15 × Cite Format Result Cite Review PDF Full Text: Link
Gelfert, Katrin; Salcedo, Graccyela Contracting on average iterated function systems by metric change. (English) Zbl 1536.37043 Nonlinearity 36, No. 12, 6879-6924 (2023). Reviewer: Steve Pederson (Atlanta) MSC: 37E10 37E05 37H12 54C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morris, Ian D.; Sert, Çağrı A converse statement to Hutchinson’s theorem and a dimension gap for self-affine measures. (English) Zbl 07774909 J. Eur. Math. Soc. (JEMS) 25, No. 11, 4315-4367 (2023). Reviewer: Peter Pal Varju (Cambridge) MSC: 28A80 37D35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García, G. Continuous global optimization on fractals through \(\alpha\)-dense curves. (English) Zbl 1523.90280 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 4, Paper No. 165, 15 p. (2023). MSC: 90C26 28A80 65Dxx 65D99 × Cite Format Result Cite Review PDF Full Text: DOI
Bárány, Balázs; Simon, Károly; Solomyak, Boris Self-similar and self-affine sets and measures. (English) Zbl 1543.28001 Mathematical Surveys and Monographs 276. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7046-3/pbk; 978-1-4704-7550-5/ebook). xii, 451 p. (2023). Reviewer: Peter Massopust (München) MSC: 28-02 28A78 28A80 28D05 28D20 37C25 37C40 37C45 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Lai; Ruan, Huo-Jun Box dimension of generalized affine fractal interpolation functions. (English) Zbl 1543.28004 J. Fractal Geom. 10, No. 3-4, 279-302 (2023). Reviewer: Peter Massopust (München) MSC: 28A80 41A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Verma, Manuj; Priyadarshi, Amit New type of fractal functions for the general data sets. (English) Zbl 1543.28006 Acta Appl. Math. 187, Paper No. 12, 23 p. (2023). Reviewer: Peter Massopust (München) MSC: 28A80 33C47 41A05 × Cite Format Result Cite Review PDF Full Text: DOI
Ghosh, Chinmay; Kumar Datta, Sanjib; Bandyopadhyay, Anirban; Mondal, Soumen Linear differential equations with solutions of finite iterated \(p - \phi\) order. (English) Zbl 1538.34346 J. Indian Math. Soc., New Ser. 90, No. 1-2, 23-36 (2023). MSC: 34M03 30D35 34M10 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, De-Jun; Lo, Chiu-Hong; Ma, Cai-Yun Dimensions of projected sets and measures on typical self-affine sets. (English) Zbl 07741087 Adv. Math. 431, Article ID 109237, 62 p. (2023). MSC: 28A80 37C45 31A15 49Q15 60B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oliveira, Elismar R. The Hutchinson-Barnsley theory for generalized iterated function systems by means of Infinite iterated function systems. (English) Zbl 1523.28009 Balcerzak, Marek (ed.) et al., Inspirations in real analysis. Selected papers based on the presentations at the international conference, Będlewo, Poland, April 3–8, 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 125, 99-118 (2023). MSC: 28A80 26E25 47H04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Verma, Manuj; Priyadarshi, Amit Dimensions of new fractal functions and associated measures. (English) Zbl 07736710 Numer. Algorithms 94, No. 2, 817-846 (2023). MSC: 65-XX 28A80 33C47 41A30 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Mengxin; Li, Zhiming A variational principle of the topological pressures for non-autonomous iterated function systems. (English) Zbl 1527.37017 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 150, 22 p. (2023). MSC: 37B55 37B40 37D35 × Cite Format Result Cite Review PDF Full Text: DOI
Prokaj, R. Dániel; Raith, Peter; Simon, Károly Fractal dimensions of continuous piecewise linear iterated function systems. (English) Zbl 07735819 Proc. Am. Math. Soc. 151, No. 11, 4703-4719 (2023). MSC: 28A80 37E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak Representation theory and multilevel filters. (English) Zbl 1539.42040 J. Appl. Math. Comput. 69, No. 2, 1599-1657 (2023). Reviewer: Igor Novikov (Voronezh) MSC: 42C40 46L05 47L15 47L30 47L55 60G15 60J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jorgensen, Palle E. T.; Tian, James Dual pairs of operators, harmonic analysis of singular nonatomic measures and Krein-Feller diffusion. (English) Zbl 1538.47042 J. Oper. Theory 89, No. 1, 205-248 (2023). Reviewer: Michael Perelmuter (Kyïv) MSC: 47B32 47B25 47E05 46N20 46E22 46N30 46N50 60G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dhilshana; Mathew, Sunil Analysis of separation properties of attractors of the product of fuzzy iterated function systems. (English) Zbl 07733070 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107401, 13 p. (2023). MSC: 28A80 11B05 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Kolossváry, István The \(L^q\) spectrum of self-affine measures on sponges. (English) Zbl 1549.37013 J. Lond. Math. Soc., II. Ser. 108, No. 2, 666-701 (2023). MSC: 37D35 28A80 37C45 37B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, De-Jun; Ruan, Huo-Jun; Xiong, Ying On separation properties for iterated function systems of similitudes. (English) Zbl 07725824 Methods Appl. Anal. 30, No. 1, 17-26 (2023). MSC: 28A78 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, De-Jun; Simon, Károly Dimension estimates for \(C^1\) iterated function systems and repellers. I. (English) Zbl 1523.37033 Ergodic Theory Dyn. Syst. 43, No. 8, 2673-2706 (2023). MSC: 37C45 37C70 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baker, Simon Overlapping iterated function systems from the perspective of metric number theory. (English) Zbl 1539.11001 Memoirs of the American Mathematical Society 1428. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6440-0/pbk; 978-1-4704-7544-4/ebook). v, 95 p. (2023). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-02 11K60 28A80 37C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Fei-Fei; Ye, Yuan-Ling Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials. (English) Zbl 1522.37037 Nonlinearity 36, No. 7, 3661-3683 (2023). Reviewer: Thomas B. Ward (Durham) MSC: 37C30 37A30 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Morawiec, Janusz; Szarek, Tomasz Invariant measures for uncountable random interval homeomorphisms. (English) Zbl 1521.37052 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 124, 16 p. (2023). MSC: 37H12 39B12 47B80 39B22 × Cite Format Result Cite Review PDF Full Text: DOI
Savu, Irina; Miculescu, Radu; Mihail, Alexandru The structure of fuzzy fractals generated by an orbital fuzzy iterated function system. (English) Zbl 1518.28009 Demonstr. Math. 56, Article ID 20220217, 11 p. (2023). Reviewer: Husam Yahya Abdulwahed (Baghdad) MSC: 28A80 28E10 31E05 37C70 54H25 × Cite Format Result Cite Review PDF Full Text: DOI
Verma, Manuj; Priyadarshi, Amit; Verma, Saurabh Vector-valued fractal functions: fractal dimension and fractional calculus. (English) Zbl 1517.28010 Indag. Math., New Ser. 34, No. 4, 830-853 (2023). Reviewer: Peter Massopust (München) MSC: 28A80 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amit; Basotia, Vineeta; Prajapati, Ajay Non-stationary \(\phi\)-contractions and associated fractals. (English) Zbl 1524.28010 J. Anal. 31, No. 2, 1375-1391 (2023). MSC: 28A80 47H10 54E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, De-Jun Dimension of invariant measures for affine iterated function systems. (English) Zbl 07684350 Duke Math. J. 172, No. 4, 701-774 (2023). MSC: 28A80 37C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rutar, Alex Geometric and combinatorial properties of self-similar multifractal measures. (English) Zbl 07682668 Ergodic Theory Dyn. Syst. 43, No. 6, 2028-2072 (2023). MSC: 28A80 37C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Christoffersen, Nicholas; Dutkay, Dorin Ervin; Picioroaga, Gabriel; Weber, Eric S. Parseval frames from compressions of Cuntz algebras. (English) Zbl 1533.47060 Math. Z. 304, No. 1, Paper No. 23, 36 p. (2023). Reviewer: Bernhard Burgstaller (Florianópolis) MSC: 47L55 05C81 28A80 42A16 42C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Castro, Gilles G. KMS states for generalized gauge actions on C*-algebras associated with self-similar sets. (English) Zbl 1522.46042 Ergodic Theory Dyn. Syst. 43, No. 4, 1222-1238 (2023). MSC: 46L55 37A55 46L30 46L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Gibbs, Andrew; Hewett, David; Moiola, Andrea Numerical quadrature for singular integrals on fractals. (English) Zbl 1531.65038 Numer. Algorithms 92, No. 4, 2071-2124 (2023). MSC: 65D30 28A75 65D32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chan, Eunice Y. S.; Corless, Robert M. Chaos game representation. (English) Zbl 07669674 SIAM Rev. 65, No. 1, 261-290 (2023). MSC: 65P20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mihail, Alexandru; Savu, Irina On the connectedness of attractors of orbital contractive IFSs. (English) Zbl 1528.28025 Topology Appl. 326, Article ID 108412, 16 p. (2023). MSC: 28A80 37C70 × Cite Format Result Cite Review PDF Full Text: DOI
Dastjerdi, Dawoud Ahmadi; Aghaee, Mahdi Shift limits of a non-autonomous system. (English) Zbl 1511.37028 Topology Appl. 326, Article ID 108394, 11 p. (2023). MSC: 37B55 37B65 37B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shaju, Cyril; Kamal Analysis of earthquake hypocenter characteristics using chaos game representation. (English) Zbl 1504.86020 Comput. Geosci. 27, No. 1, 143-157 (2023). MSC: 86A15 91A80 × Cite Format Result Cite Review PDF Full Text: DOI
Dastjerdi, Dawoud Ahmadi; Aghaee, Mahdi Iterated function systems over arbitrary shift spaces. (English) Zbl 1513.37010 Khayyam J. Math. 9, No. 1, 127-143 (2023). MSC: 37B10 37B55 × Cite Format Result Cite Review PDF Full Text: arXiv
Brasil, Jader E.; Oliveira, Elismar R.; Souza, Rafael Rigão Thermodynamic formalism for general iterated function systems with measures. (English) Zbl 1510.37051 Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 19, 26 p. (2023). MSC: 37D35 37B40 37C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Boyi; Shang, Pengjian; Mao, Xuegeng; Liu, Jinzhao Dispersion heterogeneous recurrence analysis and its use on fault detection. (English) Zbl 07634541 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106902, 17 p. (2023). MSC: 62Mxx 37Mxx 62Bxx × Cite Format Result Cite Review PDF Full Text: DOI
da Cunha, Rudnei D.; Oliveira, Elismar R.; Strobin, Filip Existence of invariant idempotent measures by contractivity of idempotent Markov operators. (English) Zbl 07633374 J. Fixed Point Theory Appl. 25, No. 1, Paper No. 8, 11 p. (2023). MSC: 47-XX 28A80 28A33 37M25 37C70 54E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Huoyun; Wang, Yongge; Yang, Xiao; Zhong, Xinlin Chain mixing and multi-transitivities of iterated function systems. (English) Zbl 1509.37015 Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 26, 21 p. (2023). MSC: 37B05 37B65 54H15 × Cite Format Result Cite Review PDF Full Text: DOI
Pasupathi, R.; Chand, A. K. B.; Navascués, M. A. Cyclic multivalued iterated function systems. (English) Zbl 07935383 Rushi Kumar, B (ed.) et al., Mathematics and computing. ICMC 2022. Proceedings of the 8th conference, Vellore, India, January 6–8, 2022. Singapore: Springer. Springer Proc. Math. Stat. 415, 245-256 (2022). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Devi, T. T.; Mangang, K. B. On topological shadowing and chain properties of IFS on uniform spaces. (English) Zbl 1540.37040 Malays. J. Math. Sci. 16, No. 3, 501-515 (2022). MSC: 37B65 37B02 37B20 × Cite Format Result Cite Review PDF Full Text: DOI
Al-Bundi, Shaimaa S. Iterated function system in \(\emptyset\)-metric spaces. (English) Zbl 07801899 Bol. Soc. Parana. Mat. (3) 40, Paper No. 111, 10 p. (2022). MSC: 28A80 37C45 47H09 × Cite Format Result Cite Review PDF Full Text: DOI
Mundey, Alexander A closed graph theorem for hyperbolic iterated function systems. (English) Zbl 1523.37017 J. Fractal Geom. 9, No. 3-4, 325-336 (2022). MSC: 37B02 37B20 37B35 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tanaka, Haruyoshi Asymptotic solution of Bowen equation for perturbed potentials on shift spaces with countable states. (English) Zbl 1530.37060 J. Fractal Geom. 9, No. 3-4, 273-324 (2022). Reviewer: Yongquan Zhang (Stony Brook) MSC: 37D35 37C45 37E25 37F32 47A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chițescu, Ion; Ioana, Loredana A Cantor-type construction. Invariant set and measure. (English) Zbl 1538.28021 Real Anal. Exch. 47, No. 2, 333-370 (2022). MSC: 28A80 37C25 37C70 37L40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Miculescu, Radu; Mihail, Alexandru Graph Lipscomb’s space is a generalized Hutchinson-Barnsley fractal. (English) Zbl 1547.28020 Aequationes Math. 96, No. 6, 1141-1157 (2022). MSC: 28A80 37C70 54B15 54C25 54F45 × Cite Format Result Cite Review PDF Full Text: DOI
Taylor, T. D.; Rouse, S. Bar-codes of Sierpiński relatives with triangle convex hulls. (English) Zbl 1528.28026 Fractals 30, No. 9, Article ID 2250169, 17 p. (2022). MSC: 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Alexander, Ted; Murphy, Tommy Upper bounds for the Hausdorff dimension of Weierstrass curves. (English) Zbl 1514.28006 PUMP J. Undergrad. Res. 5, 199-205 (2022). MSC: 28A78 28A80 × Cite Format Result Cite Review PDF Full Text: arXiv Link
da Cunha, Rudnei D.; Oliveira, Elismar R. Making the computation of approximations of invariant measures and its attractors for IFS and GIFS, through the deterministic algorithm, tractable. (English) Zbl 1508.37113 Chaos Solitons Fractals 165, Part 2, Article ID 112844, 10 p. (2022). MSC: 37M25 65S05 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choudhury, Binayak S.; Chakraborty, Priyam Strong fixed points of \(\Phi\)-couplings and generation of fractals. (English) Zbl 1507.37052 Chaos Solitons Fractals 163, Article ID 112514, 6 p. (2022). MSC: 37E05 37C25 47H10 47J26 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
La Torre, Davide; Marsiglio, Simone; Mendivil, Franklin; Privileggi, Fabio Generalized fractal transforms with condensation: a macroeconomic-epidemiological application. (English) Zbl 1538.91038 Pure Appl. Funct. Anal. 7, No. 6, 2101-2128 (2022). MSC: 91B64 28A80 92D30 × Cite Format Result Cite Review PDF Full Text: Link
Pollicott, M.; Vytnova, P. Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets of Fuchsian groups. (English) Zbl 1517.11097 Trans. Am. Math. Soc., Ser. B 9, 1102-1159 (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 11J06 37C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Secelean, Nicolae-Adrian; Wardowski, Dariusz On a certain class of IFSs and their attractors. (English) Zbl 1527.28010 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 162, 15 p. (2022). Reviewer: Sascha Troscheit (Oulu) MSC: 28A80 37C70 54H25 × Cite Format Result Cite Review PDF Full Text: DOI
Ullah, Kifayat; Katiyar, S. K. Cyclic weak \(\phi\) iterated function system. (English) Zbl 1505.28012 Topol. Algebra Appl. 10, 161-166 (2022). Reviewer: Haipeng Chen (Shenzhen) MSC: 28A80 37C25 47H04 47H09 47H10 × Cite Format Result Cite Review PDF Full Text: DOI