Alvez, A. M.; Machado, D. S.; Mehdipour, P.; Salarinoghabi, M. On a non-conformal cubic family and its application. (English) Zbl 07736305 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 152, 17 p. (2023). MSC: 37F10 37F99 30D05 32E30 PDF BibTeX XML Cite \textit{A. M. Alvez} et al., Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 152, 17 p. (2023; Zbl 07736305) Full Text: DOI
Fernández-Guasti, M. Imaginary scators quadratic mapping in 1+2D dynamic space. (English) Zbl 07733033 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107364, 19 p. (2023). MSC: 37F45 PDF BibTeX XML Cite \textit{M. Fernández-Guasti}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107364, 19 p. (2023; Zbl 07733033) Full Text: DOI
Rempe, Lasse The Eremenko-Lyubich constant. (English) Zbl 07731243 Bull. Lond. Math. Soc. 55, No. 1, 113-118 (2023). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 30D05 30D15 PDF BibTeX XML Cite \textit{L. Rempe}, Bull. Lond. Math. Soc. 55, No. 1, 113--118 (2023; Zbl 07731243) Full Text: DOI arXiv
Ghora, Subhasis; Nayak, Tarakanta; Sahoo, Satyajit On Fatou sets containing Baker omitted value. (English) Zbl 07729214 J. Dyn. Differ. Equations 35, No. 3, 2621-2639 (2023). MSC: 37F10 37F45 PDF BibTeX XML Cite \textit{S. Ghora} et al., J. Dyn. Differ. Equations 35, No. 3, 2621--2639 (2023; Zbl 07729214) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Selinger, Nikita; Timorin, Vladlen; Vejandla, Sandeep Chowdary Symmetric cubic laminations. (English) Zbl 07725767 Conform. Geom. Dyn. 27, 264-293 (2023). MSC: 37F20 37F10 37F50 PDF BibTeX XML Cite \textit{A. Blokh} et al., Conform. Geom. Dyn. 27, 264--293 (2023; Zbl 07725767) Full Text: DOI arXiv
Uchimura, Keisuke Dynamics of Chebyshev endomorphisms on some affine algebraic varieties. (English) Zbl 07713918 Kyoto J. Math. 63, No. 3, 669-719 (2023). MSC: 14A05 37F45 37F10 PDF BibTeX XML Cite \textit{K. Uchimura}, Kyoto J. Math. 63, No. 3, 669--719 (2023; Zbl 07713918) Full Text: DOI arXiv Link
Kaur, Ramanpreet Functions with no unbounded Fatou components. (English) Zbl 07711698 Complex Var. Elliptic Equ. 68, No. 7, 1239-1249 (2023). MSC: 30D05 37F10 PDF BibTeX XML Cite \textit{R. Kaur}, Complex Var. Elliptic Equ. 68, No. 7, 1239--1249 (2023; Zbl 07711698) Full Text: DOI arXiv
Blokh, Alexander; Haïssinsky, Peter; Oversteegen, Lex; Timorin, Vladlen On critical renormalization of complex polynomials. (English) Zbl 07707518 Adv. Math. 428, Article ID 109135, 28 p. (2023). MSC: 37F25 37F10 PDF BibTeX XML Cite \textit{A. Blokh} et al., Adv. Math. 428, Article ID 109135, 28 p. (2023; Zbl 07707518) Full Text: DOI arXiv
Dudko, Artem; Gorbovickis, Igors; Tucker, Warwick Lower bounds on the Hausdorff dimension of some Julia sets. (English) Zbl 07682259 Nonlinearity 36, No. 5, 2867-2893 (2023). MSC: 37F35 37F10 PDF BibTeX XML Cite \textit{A. Dudko} et al., Nonlinearity 36, No. 5, 2867--2893 (2023; Zbl 07682259) Full Text: DOI arXiv
Firsova, Tanya; Gorbovickis, Igors Accumulation set of critical points of the multipliers in the quadratic family. (English) Zbl 07680135 Ergodic Theory Dyn. Syst. 43, No. 5, 1548-1569 (2023). Reviewer: Yupin Wang (Jinan) MSC: 37F10 37F46 65E05 PDF BibTeX XML Cite \textit{T. Firsova} and \textit{I. Gorbovickis}, Ergodic Theory Dyn. Syst. 43, No. 5, 1548--1569 (2023; Zbl 07680135) Full Text: DOI arXiv
Majee, Soumyadip; Chatterjee, Subham; Chakraborty, Gorachand On the level of \(Q_{\epsilon} (f)\) in quite fast escaping set and spider’s web. (English) Zbl 1515.30065 Ann. Mat. Pura Appl. (4) 202, No. 3, 1335-1342 (2023). MSC: 30D05 37F10 37F05 PDF BibTeX XML Cite \textit{S. Majee} et al., Ann. Mat. Pura Appl. (4) 202, No. 3, 1335--1342 (2023; Zbl 1515.30065) Full Text: DOI
Dobbs, Neil; Graczyk, Jacek; Mihalache, Nicolae Hausdorff dimension of Julia sets in the logistic family. (English) Zbl 07678858 Commun. Math. Phys. 399, No. 2, 673-716 (2023). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 37F46 37F40 PDF BibTeX XML Cite \textit{N. Dobbs} et al., Commun. Math. Phys. 399, No. 2, 673--716 (2023; Zbl 07678858) Full Text: DOI arXiv
Berteloot, François La mesure harmonique de l’ensemble de Mandelbrot contient celles des ensembles de Julia. (French) Zbl 1516.37055 J. Geom. Anal. 33, No. 6, Paper No. 183, 26 p. (2023). MSC: 37F46 37F10 37F44 37F50 PDF BibTeX XML Cite \textit{F. Berteloot}, J. Geom. Anal. 33, No. 6, Paper No. 183, 26 p. (2023; Zbl 1516.37055) Full Text: DOI
Fagella, Núria; Jové, Anna A model for boundary dynamics of Baker domains. (English) Zbl 07673740 Math. Z. 303, No. 4, Paper No. 95, 36 p. (2023). Reviewer: Ewa Ciechanowicz (Szczecin) MSC: 30D05 37F10 PDF BibTeX XML Cite \textit{N. Fagella} and \textit{A. Jové}, Math. Z. 303, No. 4, Paper No. 95, 36 p. (2023; Zbl 07673740) Full Text: DOI arXiv
Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han Dynamics of transcendental Hénon maps. II. (English) Zbl 07673351 Math. Ann. 385, No. 3-4, 975-999 (2023). Reviewer: Luka Boc Thaler (Ljubljana) MSC: 37F10 37F12 37F15 30D05 PDF BibTeX XML Cite \textit{L. Arosio} et al., Math. Ann. 385, No. 3--4, 975--999 (2023; Zbl 07673351) Full Text: DOI arXiv
Kumari, Sudesh; Gdawiec, Krzysztof; Nandal, Ashish; Kumar, Naresh; Chugh, Renu An application of viscosity approximation type iterative method in the generation of Mandelbrot and Julia fractals. (English) Zbl 07672921 Aequationes Math. 97, No. 2, 257-278 (2023). MSC: 65E05 37F10 37F46 PDF BibTeX XML Cite \textit{S. Kumari} et al., Aequationes Math. 97, No. 2, 257--278 (2023; Zbl 07672921) Full Text: DOI
Evdoridou, Vasiliki; Glücksam, Adi; Pardo-Simón, Leticia Unbounded fast escaping wandering domains. (English) Zbl 07662129 Adv. Math. 417, Article ID 108914, 31 p. (2023). Reviewer: Weiwei Cui (Lund) MSC: 37F10 30D05 30E10 PDF BibTeX XML Cite \textit{V. Evdoridou} et al., Adv. Math. 417, Article ID 108914, 31 p. (2023; Zbl 07662129) Full Text: DOI arXiv
Paraschiv, Dan Newton-like components in the Chebyshev-Halley family of degree \(n\) polynomials. (English) Zbl 07660431 Mediterr. J. Math. 20, No. 3, Paper No. 149, 17 p. (2023). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 37F31 37F20 37F46 30D05 PDF BibTeX XML Cite \textit{D. Paraschiv}, Mediterr. J. Math. 20, No. 3, Paper No. 149, 17 p. (2023; Zbl 07660431) Full Text: DOI arXiv
Kotus, Janina; Montes De Oca Balderas, Marco Lyapunov exponents for non-ergodic meromorphic functions. (English) Zbl 1511.30009 Proc. Am. Math. Soc. 151, No. 4, 1609-1620 (2023). Reviewer: Katsuya Ishizaki (Chiba) MSC: 30D05 30D30 PDF BibTeX XML Cite \textit{J. Kotus} and \textit{M. Montes De Oca Balderas}, Proc. Am. Math. Soc. 151, No. 4, 1609--1620 (2023; Zbl 1511.30009) Full Text: DOI
Buff, Xavier; Floyd, William; Koch, Sarah; Parry, Walter Factoring Gleason polynomials modulo 2. (English. French summary) Zbl 1514.37061 J. Théor. Nombres Bordx. 34, No. 3, 787-812 (2023). Reviewer: Haifeng Chu (Xi’an) MSC: 37F10 37F15 37P35 37P05 37P40 PDF BibTeX XML Cite \textit{X. Buff} et al., J. Théor. Nombres Bordx. 34, No. 3, 787--812 (2023; Zbl 1514.37061) Full Text: DOI
Hamada, Nuha; Kharbat, Faten Mandelbrot and Julia sets of complex polynomials involving sine and cosine functions via Picard-Mann orbit. (English) Zbl 07639068 Complex Anal. Oper. Theory 17, No. 1, Paper No. 13, 34 p. (2023). MSC: 28A80 37C25 PDF BibTeX XML Cite \textit{N. Hamada} and \textit{F. Kharbat}, Complex Anal. Oper. Theory 17, No. 1, Paper No. 13, 34 p. (2023; Zbl 07639068) Full Text: DOI
Comdühr, Patrick; Evdoridou, Vasiliki; Sixsmith, David J. Dynamics of generalised exponential maps. (English) Zbl 07635097 Math. Proc. Camb. Philos. Soc. 174, No. 1, 123-136 (2023). Reviewer: Weiwei Cui (Lund) MSC: 37F20 37F10 37F46 30D05 PDF BibTeX XML Cite \textit{P. Comdühr} et al., Math. Proc. Camb. Philos. Soc. 174, No. 1, 123--136 (2023; Zbl 07635097) Full Text: DOI arXiv
Siqueira, Carlos Hausdorff dimension of Julia sets of unicritical correspondences. (English) Zbl 07630916 Proc. Am. Math. Soc. 151, No. 2, 633-645 (2023). MSC: 37F05 37F10 37D35 PDF BibTeX XML Cite \textit{C. Siqueira}, Proc. Am. Math. Soc. 151, No. 2, 633--645 (2023; Zbl 07630916) Full Text: DOI arXiv
Zhang, Guowei; Yang, Lianzhong On Petrenko’s deviations and the Julia limiting directions of solutions of complex differential equations. (English) Zbl 1503.30065 J. Math. Anal. Appl. 519, No. 1, Article ID 126799, 13 p. (2023). MSC: 30D05 30D35 34M03 PDF BibTeX XML Cite \textit{G. Zhang} and \textit{L. Yang}, J. Math. Anal. Appl. 519, No. 1, Article ID 126799, 13 p. (2023; Zbl 1503.30065) Full Text: DOI
Kumar, Amit; Kumari, Sudesh; Chugh, Renu Generation of fractals and anti-fractals using Thakur iterative scheme. (English) Zbl 07731211 Poincare J. Anal. Appl. 9, No. 2, 183-199 (2022). MSC: 34H10 37M10 37B25 37F45 PDF BibTeX XML Cite \textit{A. Kumar} et al., Poincare J. Anal. Appl. 9, No. 2, 183--199 (2022; Zbl 07731211) Full Text: Link
Tomar, Anita; Antal, Swati; Prajapati, Darshana J.; Agarwal, Parveen Mandelbrot fractals using fixed-point technique of sine function. (English) Zbl 07710031 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, Spec. Iss., 194-214 (2022). MSC: 28A10 31E05 37F10 37F46 47H10 PDF BibTeX XML Cite \textit{A. Tomar} et al., Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, 194--214 (2022; Zbl 07710031) Full Text: DOI
Huang, Xiaojie; Liu, Zhixiu; Li, Yuntong The Hausdorff dimension of directional edge escaping points set. (English) Zbl 1508.30051 Glas. Mat., III. Ser. 57, No. 2, 239-250 (2022). MSC: 30D05 37F10 PDF BibTeX XML Cite \textit{X. Huang} et al., Glas. Mat., III. Ser. 57, No. 2, 239--250 (2022; Zbl 1508.30051) Full Text: DOI
Kumari, Sudesh; Gdawiec, Krzysztof; Nandal, Ashish; Postolache, Mihai; Chugh, Renu A novel approach to generate Mandelbrot sets, Julia sets and biomorphs via viscosity approximation method. (English) Zbl 1507.28007 Chaos Solitons Fractals 163, Article ID 112540, 21 p. (2022). MSC: 28A80 37F10 47H10 47J26 47J25 PDF BibTeX XML Cite \textit{S. Kumari} et al., Chaos Solitons Fractals 163, Article ID 112540, 21 p. (2022; Zbl 1507.28007) Full Text: DOI
Hayes, Sandra Quadratic dynamics over hyperbolic numbers: a brief survey. (English) Zbl 1513.37001 Surv. Math. Appl. 17, 269-275 (2022). MSC: 37-02 37F10 37F20 PDF BibTeX XML Cite \textit{S. Hayes}, Surv. Math. Appl. 17, 269--275 (2022; Zbl 1513.37001) Full Text: Link
Bergweiler, Walter; Cui, Weiwei The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class. (English) Zbl 1511.37053 Math. Z. 302, No. 4, 2193-2205 (2022). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 37F35 30D05 PDF BibTeX XML Cite \textit{W. Bergweiler} and \textit{W. Cui}, Math. Z. 302, No. 4, 2193--2205 (2022; Zbl 1511.37053) Full Text: DOI arXiv
Koda, Ryonosuke; Shudo, Akira Complexified stable and unstable manifolds and chaotic tunneling. (English) Zbl 1505.81075 J. Phys. A, Math. Theor. 55, No. 17, Article ID 174004, 38 p. (2022). MSC: 81U26 81Q20 81Q50 PDF BibTeX XML Cite \textit{R. Koda} and \textit{A. Shudo}, J. Phys. A, Math. Theor. 55, No. 17, Article ID 174004, 38 p. (2022; Zbl 1505.81075) Full Text: DOI
Goldberg, Bryan; Yang, Rongwei Self-similarity and spectral dynamics. (English) Zbl 07606511 J. Oper. Theory 87, No. 2, 355-388 (2022). MSC: 43A65 37F10 PDF BibTeX XML Cite \textit{B. Goldberg} and \textit{R. Yang}, J. Oper. Theory 87, No. 2, 355--388 (2022; Zbl 07606511) Full Text: DOI arXiv
Lipham, David S. Distinguishing endpoint sets from Erdős space. (English) Zbl 1506.37064 Math. Proc. Camb. Philos. Soc. 173, No. 3, 635-646 (2022). MSC: 37F10 30D05 54F50 PDF BibTeX XML Cite \textit{D. S. Lipham}, Math. Proc. Camb. Philos. Soc. 173, No. 3, 635--646 (2022; Zbl 1506.37064) Full Text: DOI arXiv
Domínguez, Patricia; de Oca, Marco A. Montes; Sienra, Guillermo J. F. Extended escaping set for meromorphic functions outside a countable set of transcendental singularities. (English) Zbl 1507.37065 Ann. Pol. Math. 129, No. 1, 25-41 (2022). MSC: 37F10 37F20 30D30 PDF BibTeX XML Cite \textit{P. Domínguez} et al., Ann. Pol. Math. 129, No. 1, 25--41 (2022; Zbl 1507.37065) Full Text: DOI
Charak, Kuldeep Singh; Kumar, Manish; Singh, Anil Some remarks on primeness and dynamics of some classes of entire functions. (English) Zbl 1502.30080 J. Anal. 30, No. 3, 1115-1129 (2022). MSC: 30D15 30D05 37F10 PDF BibTeX XML Cite \textit{K. S. Charak} et al., J. Anal. 30, No. 3, 1115--1129 (2022; Zbl 1502.30080) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Slices of the parameter space of cubic polynomials. (English) Zbl 1503.37061 Trans. Am. Math. Soc. 375, No. 8, 5313-5359 (2022). MSC: 37F20 37F10 37F50 37F46 PDF BibTeX XML Cite \textit{A. Blokh} et al., Trans. Am. Math. Soc. 375, No. 8, 5313--5359 (2022; Zbl 1503.37061) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Cutpoints of invariant subcontinua of polynomial Julia sets. (English) Zbl 1504.37056 Arnold Math. J. 8, No. 2, 271-284 (2022). Reviewer: Haifeng Chu (Xi’an) MSC: 37F20 37F10 PDF BibTeX XML Cite \textit{A. Blokh} et al., Arnold Math. J. 8, No. 2, 271--284 (2022; Zbl 1504.37056) Full Text: DOI arXiv
Taflin, Johan On chain recurrence classes of endomorphisms of \(\mathbb{P}^k\). (English) Zbl 07554402 Proc. Am. Math. Soc. 150, No. 9, 3941-3951 (2022). Reviewer: Jasmin Raissy (Talence) MSC: 32H50 37F80 37B20 37F10 PDF BibTeX XML Cite \textit{J. Taflin}, Proc. Am. Math. Soc. 150, No. 9, 3941--3951 (2022; Zbl 07554402) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Shepelevtseva, Anastasia; Timorin, Vladlen Modeling core parts of Zakeri slices. I. (English) Zbl 07551769 Mosc. Math. J. 22, No. 2, 265-294 (2022). MSC: 37F46 37F20 37F10 37F50 PDF BibTeX XML Cite \textit{A. Blokh} et al., Mosc. Math. J. 22, No. 2, 265--294 (2022; Zbl 07551769) Full Text: arXiv Link
Henriksen, Christian; Petersen, Carsten Lunde Geometric limits of mixed families. (English) Zbl 1495.30020 J. Difference Equ. Appl. 28, No. 6, 771-776 (2022). MSC: 30D05 30C10 PDF BibTeX XML Cite \textit{C. Henriksen} and \textit{C. L. Petersen}, J. Difference Equ. Appl. 28, No. 6, 771--776 (2022; Zbl 1495.30020) Full Text: DOI
Pardo-Simón, Leticia Orbifold expansion and entire functions with bounded Fatou components. (English) Zbl 1501.37047 Ergodic Theory Dyn. Syst. 42, No. 5, 1807-1846 (2022). Reviewer: Weiwei Cui (Lund) MSC: 37F10 37F20 30D05 57R18 PDF BibTeX XML Cite \textit{L. Pardo-Simón}, Ergodic Theory Dyn. Syst. 42, No. 5, 1807--1846 (2022; Zbl 1501.37047) Full Text: DOI arXiv
Barański, Krzysztof; Karpińska, Bogusława On the dimension of points which escape to infinity at given rate under exponential iteration. (English) Zbl 1503.37057 Ergodic Theory Dyn. Syst. 42, No. 5, 1591-1623 (2022). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 37F35 30D05 28A78 28A80 PDF BibTeX XML Cite \textit{K. Barański} and \textit{B. Karpińska}, Ergodic Theory Dyn. Syst. 42, No. 5, 1591--1623 (2022; Zbl 1503.37057) Full Text: DOI arXiv
Özgür, Nihal; Antal, Swati; Tomar, Anita Julia and Mandelbrot sets of transcendental function via Fibonacci-Mann iteration. (English) Zbl 1498.37076 J. Funct. Spaces 2022, Article ID 2592573, 13 p. (2022). MSC: 37F10 37F46 30D30 PDF BibTeX XML Cite \textit{N. Özgür} et al., J. Funct. Spaces 2022, Article ID 2592573, 13 p. (2022; Zbl 1498.37076) Full Text: DOI
Lipham, David S. The topological dimension of radial Julia sets. (English) Zbl 1501.37046 Comput. Methods Funct. Theory 22, No. 2, 367-377 (2022). MSC: 37F10 37F20 37F46 30D05 54F45 PDF BibTeX XML Cite \textit{D. S. Lipham}, Comput. Methods Funct. Theory 22, No. 2, 367--377 (2022; Zbl 1501.37046) Full Text: DOI arXiv
Hu, Jun; Etkin, Arkady Cubic rational maps with escaping critical points. I: Julia set dichotomy in the case of an attracting fixed point. (English) Zbl 1512.37047 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 70, 14 p. (2022). Reviewer: Xu Zhang (Weihai) MSC: 37F10 37F20 30D05 PDF BibTeX XML Cite \textit{J. Hu} and \textit{A. Etkin}, Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 70, 14 p. (2022; Zbl 1512.37047) Full Text: DOI
Inou, Hiroyuki; Mukherjee, Sabyasachi Discontinuity of straightening in anti-holomorphic dynamics. II. (English) Zbl 1502.37055 Int. Math. Res. Not. 2022, No. 9, 6948-6990 (2022). Reviewer: Tao Chen (New York) MSC: 37F10 37F25 30D05 37F44 37F46 PDF BibTeX XML Cite \textit{H. Inou} and \textit{S. Mukherjee}, Int. Math. Res. Not. 2022, No. 9, 6948--6990 (2022; Zbl 1502.37055) Full Text: DOI arXiv
Wolff, Mareike A class of Newton maps with Julia sets of Lebesgue measure zero. (English) Zbl 1500.37038 Math. Z. 301, No. 1, 665-711 (2022). Reviewer: Weiwei Cui (Lund) MSC: 37F10 30D05 PDF BibTeX XML Cite \textit{M. Wolff}, Math. Z. 301, No. 1, 665--711 (2022; Zbl 1500.37038) Full Text: DOI arXiv
Belova, Anna; Gorbovickis, Igors Critical points of the multiplier map for the quadratic family. (English) Zbl 1498.37078 Exp. Math. 31, No. 1, 337-345 (2022). MSC: 37F46 37F10 PDF BibTeX XML Cite \textit{A. Belova} and \textit{I. Gorbovickis}, Exp. Math. 31, No. 1, 337--345 (2022; Zbl 1498.37078) Full Text: DOI arXiv
Rempe, Lasse Singular orbits and Baker domains. (English) Zbl 1500.37036 Math. Ann. 382, No. 3-4, 1475-1483 (2022). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 37F20 30D05 37F31 PDF BibTeX XML Cite \textit{L. Rempe}, Math. Ann. 382, No. 3--4, 1475--1483 (2022; Zbl 1500.37036) Full Text: DOI arXiv
Alves, Alexandre; Salarinoghabi, Mostafa On the family of cubic parabolic polynomials. (English) Zbl 1486.30075 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2051-2064 (2022). MSC: 30D05 37F10 37F12 PDF BibTeX XML Cite \textit{A. Alves} and \textit{M. Salarinoghabi}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2051--2064 (2022; Zbl 1486.30075) Full Text: DOI
Domínguez, Patricia; Vázquez, Josué A study of a meromorphic perturbation of the sine family. (English) Zbl 1503.37058 Demonstr. Math. 55, 8-27 (2022). MSC: 37F10 30D05 PDF BibTeX XML Cite \textit{P. Domínguez} and \textit{J. Vázquez}, Demonstr. Math. 55, 8--27 (2022; Zbl 1503.37058) Full Text: DOI
Horváth, Á. P. On inherited properties and Julia sets of exceptional Jacobi polynomials. (English) Zbl 1490.42028 Integral Transforms Spec. Funct. 33, No. 4, 303-319 (2022). Reviewer: María-José Cantero (Zaragoza) MSC: 42C05 33C45 37F10 PDF BibTeX XML Cite \textit{Á. P. Horváth}, Integral Transforms Spec. Funct. 33, No. 4, 303--319 (2022; Zbl 1490.42028) Full Text: DOI
Chousionis, Vasileios; Urbański, Mariusz Porosity in conformal dynamical systems. (English) Zbl 1506.37055 Math. Proc. Camb. Philos. Soc. 172, No. 2, 303-371 (2022). MSC: 37E25 37A44 37F10 37C45 28A78 28A80 28C10 PDF BibTeX XML Cite \textit{V. Chousionis} and \textit{M. Urbański}, Math. Proc. Camb. Philos. Soc. 172, No. 2, 303--371 (2022; Zbl 1506.37055) Full Text: DOI arXiv
Look, Daniel M. An infinite sequence of bitransitive Sierpiński carpets for \(z\mapsto\lambda(z+\frac{1}{z})\). (English) Zbl 1496.37042 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 3, Article ID 2250037, 9 p. (2022). Reviewer: Weiwei Cui (Lund) MSC: 37F10 37F20 PDF BibTeX XML Cite \textit{D. M. Look}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 3, Article ID 2250037, 9 p. (2022; Zbl 1496.37042) Full Text: DOI
Arosio, Leandro; Lárusson, Finnur Dynamics of generic endomorphisms of Oka-Stein manifolds. (English) Zbl 1495.32049 Math. Z. 300, No. 3, 2467-2484 (2022). Reviewer: Amedeo Altavilla (Ancona) MSC: 32H50 14R10 32M17 32Q28 32Q56 37F80 PDF BibTeX XML Cite \textit{L. Arosio} and \textit{F. Lárusson}, Math. Z. 300, No. 3, 2467--2484 (2022; Zbl 1495.32049) Full Text: DOI arXiv
Avila, Artur; Lyubich, Mikhail Lebesgue measure of Feigenbaum Julia sets. (English) Zbl 1494.37026 Ann. Math. (2) 195, No. 1, 1-88 (2022). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 37F25 37F20 37F35 30D05 PDF BibTeX XML Cite \textit{A. Avila} and \textit{M. Lyubich}, Ann. Math. (2) 195, No. 1, 1--88 (2022; Zbl 1494.37026) Full Text: DOI arXiv
Sharp, Richard; Stylianou, Anastasios Statistics of multipliers for hyperbolic rational maps. (English) Zbl 1500.37037 Discrete Contin. Dyn. Syst. 42, No. 3, 1225-1241 (2022). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 30D05 PDF BibTeX XML Cite \textit{R. Sharp} and \textit{A. Stylianou}, Discrete Contin. Dyn. Syst. 42, No. 3, 1225--1241 (2022; Zbl 1500.37037) Full Text: DOI arXiv
Lu, Hongbin; Qiu, Weiyuan; Yang, Fei Asymptotics of the Hausdorff dimensions of the Julia sets of McMullen maps with error bounds. (English) Zbl 1495.37041 Nonlinearity 35, No. 1, 787-816 (2022). MSC: 37F35 37F46 37F10 PDF BibTeX XML Cite \textit{H. Lu} et al., Nonlinearity 35, No. 1, 787--816 (2022; Zbl 1495.37041) Full Text: DOI
Ferreira, Gustavo R. Escaping points of commuting meromorphic functions with finitely many poles. (English) Zbl 1489.37060 Proc. Am. Math. Soc. 150, No. 2, 589-603 (2022). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 30D05 30D30 PDF BibTeX XML Cite \textit{G. R. Ferreira}, Proc. Am. Math. Soc. 150, No. 2, 589--603 (2022; Zbl 1489.37060) Full Text: DOI arXiv
Wang, Youming; Zhan, Guoping; Liao, Liangwen Buried Julia components and Julia sets. (English) Zbl 1489.37063 Qual. Theory Dyn. Syst. 21, No. 1, Paper No. 22, 29 p. (2022). Reviewer: Haifeng Chu (Xi’an) MSC: 37F10 37F46 37F25 PDF BibTeX XML Cite \textit{Y. Wang} et al., Qual. Theory Dyn. Syst. 21, No. 1, Paper No. 22, 29 p. (2022; Zbl 1489.37063) Full Text: DOI
Rempe, Lasse Escaping sets are not sigma-compact. (English) Zbl 1487.37059 Proc. Am. Math. Soc. 150, No. 1, 171-177 (2022). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 30D05 54D45 PDF BibTeX XML Cite \textit{L. Rempe}, Proc. Am. Math. Soc. 150, No. 1, 171--177 (2022; Zbl 1487.37059) Full Text: DOI arXiv
Hawkins, Jane; Moreno Rocha, Mónica Unbounded Fatou components for elliptic functions over square lattices. (English) Zbl 07673072 Houston J. Math. 47, No. 2, 353-374 (2021). Reviewer: Walter Bergweiler (Kiel) MSC: 30D05 33E05 37F10 PDF BibTeX XML Cite \textit{J. Hawkins} and \textit{M. Moreno Rocha}, Houston J. Math. 47, No. 2, 353--374 (2021; Zbl 07673072) Full Text: Link
Okuyama, Yûsuke Lehto-Virtanen-type and big Picard-type theorems for Berkovich analytic spaces. (English) Zbl 1505.30038 RIMS Kôkyûroku Bessatsu B86, 279-286 (2021). MSC: 30G06 37P40 37P50 PDF BibTeX XML Cite \textit{Y. Okuyama}, RIMS Kôkyûroku Bessatsu B86, 279--286 (2021; Zbl 1505.30038) Full Text: arXiv Link
Subedi, Bishnu Hari A comparison of classical holomorphic dynamics and holomorphic semigroup dynamics. I. (English) Zbl 1513.37033 Nepali Math. Sci. Rep. 38, No. 2, 27-34 (2021). MSC: 37F44 37F10 PDF BibTeX XML Cite \textit{B. H. Subedi}, Nepali Math. Sci. Rep. 38, No. 2, 27--34 (2021; Zbl 1513.37033) Full Text: DOI
Wang, Jun; Yao, Xiao; Zhang, Chengchun Julia limiting directions of entire solutions of complex differential equations. (English) Zbl 1513.34362 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 4, 1275-1286 (2021). MSC: 34M05 37F10 PDF BibTeX XML Cite \textit{J. Wang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 4, 1275--1286 (2021; Zbl 1513.34362) Full Text: DOI
Wang, Yupin; Liu, Shutang; Li, Hui New fractal sets coined from fractional maps. (English) Zbl 1498.37079 Fractals 29, No. 8, Article ID 2150270, 12 p. (2021). MSC: 37F46 37F10 28A80 26A33 PDF BibTeX XML Cite \textit{Y. Wang} et al., Fractals 29, No. 8, Article ID 2150270, 12 p. (2021; Zbl 1498.37079) Full Text: DOI
Wang, Da; Zhao, Shicun; Chen, Ke; Liu, Shutang Parameter estimation of the classical fractal map based on a given Julia set ’s shape. (English) Zbl 1501.28009 Fractals 29, No. 8, Article ID 2150247, 16 p. (2021). MSC: 28A80 PDF BibTeX XML Cite \textit{D. Wang} et al., Fractals 29, No. 8, Article ID 2150247, 16 p. (2021; Zbl 1501.28009) Full Text: DOI
Cui, Weiwei Hausdorff dimension of escaping sets of Nevanlinna functions. (English) Zbl 1486.30079 Int. Math. Res. Not. 2021, No. 15, 11767-11781 (2021). MSC: 30D05 37F10 PDF BibTeX XML Cite \textit{W. Cui}, Int. Math. Res. Not. 2021, No. 15, 11767--11781 (2021; Zbl 1486.30079) Full Text: DOI arXiv
Waterman, James Wiman-Valiron discs and the dimension of Julia sets. (English) Zbl 1486.30080 Int. Math. Res. Not. 2021, No. 12, 9545-9566 (2021). MSC: 30D05 30D30 PDF BibTeX XML Cite \textit{J. Waterman}, Int. Math. Res. Not. 2021, No. 12, 9545--9566 (2021; Zbl 1486.30080) Full Text: DOI arXiv
Zhao, Zhongyuan; Zhang, Yongping Julia sets and their control in a three-dimensional discrete fractional-order financial model. (English) Zbl 1486.39027 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 16, Article ID 2150245, 16 p. (2021). MSC: 39A60 91G15 PDF BibTeX XML Cite \textit{Z. Zhao} and \textit{Y. Zhang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 16, Article ID 2150245, 16 p. (2021; Zbl 1486.39027) Full Text: DOI
Fakroune, Yamina; Selmani, Wissame; Djellit, Ilham Complex dynamics in odd-degree polynomial maps. (English) Zbl 1491.37046 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 28, No. 6, 423-435 (2021). MSC: 37F10 37F46 PDF BibTeX XML Cite \textit{Y. Fakroune} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 28, No. 6, 423--435 (2021; Zbl 1491.37046) Full Text: Link
Lech, Krzysztof Julia sets of random exponential maps. (English) Zbl 1490.37063 Fundam. Math. 255, No. 2, 159-180 (2021). MSC: 37F10 37H12 PDF BibTeX XML Cite \textit{K. Lech}, Fundam. Math. 255, No. 2, 159--180 (2021; Zbl 1490.37063) Full Text: DOI arXiv
Ouyang, Miao; Liu, Shutang Formatting of Julia sets of complex dynamic systems. (English) Zbl 1507.70041 Fractals 29, No. 3, Article ID 2150069, 13 p. (2021). MSC: 70Q05 37F99 28A80 PDF BibTeX XML Cite \textit{M. Ouyang} and \textit{S. Liu}, Fractals 29, No. 3, Article ID 2150069, 13 p. (2021; Zbl 1507.70041) Full Text: DOI
Sreeja, K. U.; Vinod Kumar, P. B.; Ramkumar, P. B. Julia set of some graphs using independence polynomials. (English) Zbl 1480.05074 Devaney, Robert L. (ed.) et al., Topological dynamics and topological data analysis. IWCTA 2018. Selected papers based on the presentations at the international workshop and conference on topology & applications, Kochi, India, December 9–11, 2018. Singapore: Springer. Springer Proc. Math. Stat. 350, 193-202 (2021). MSC: 05C31 05C69 28A80 PDF BibTeX XML Cite \textit{K. U. Sreeja} et al., Springer Proc. Math. Stat. 350, 193--202 (2021; Zbl 1480.05074) Full Text: DOI
Devaney, Robert L.; Marotta, Sebastian M. Mandelpinski necklaces in the parameter planes of rational maps. (English) Zbl 1487.37056 Devaney, Robert L. (ed.) et al., Topological dynamics and topological data analysis. IWCTA 2018. Selected papers based on the presentations at the international workshop and conference on topology & applications, Kochi, India, December 9–11, 2018. Singapore: Springer. Springer Proc. Math. Stat. 350, 95-119 (2021). MSC: 37F10 30D05 PDF BibTeX XML Cite \textit{R. L. Devaney} and \textit{S. M. Marotta}, Springer Proc. Math. Stat. 350, 95--119 (2021; Zbl 1487.37056) Full Text: DOI
Alves, A. M.; Silva e Silva, B. P.; Salarinoghabi, M. Geometric limit of Julia set of a family of rational functions with odd degree. (English) Zbl 1485.37046 Dyn. Syst. 36, No. 4, 699-713 (2021). Reviewer: Weiwei Cui (Lund) MSC: 37F40 37F20 37F10 PDF BibTeX XML Cite \textit{A. M. Alves} et al., Dyn. Syst. 36, No. 4, 699--713 (2021; Zbl 1485.37046) Full Text: DOI
Petersen, Carsten Lunde; Zakeri, Saeed Periodic points and smooth rays. (English) Zbl 1494.37027 Conform. Geom. Dyn. 25, 170-178 (2021). Reviewer: Kirill Lazebnik (New Haven) MSC: 37F10 37F25 37F20 PDF BibTeX XML Cite \textit{C. L. Petersen} and \textit{S. Zakeri}, Conform. Geom. Dyn. 25, 170--178 (2021; Zbl 1494.37027) Full Text: DOI arXiv
Moccari, Mandana; Lotfi, Taher Using majorizing sequences for the semi-local convergence of a high-order and multipoint iterative method along with stability analysis. (English) Zbl 1475.65034 J. Math. Ext. 15, No. 2, Paper No. 18, 32 p. (2021). MSC: 65J15 PDF BibTeX XML Cite \textit{M. Moccari} and \textit{T. Lotfi}, J. Math. Ext. 15, No. 2, Paper No. 18, 32 p. (2021; Zbl 1475.65034) Full Text: Link
Christiansen, Jacob Stordal; Henriksen, Christian; Pedersen, Henrik Laurberg; Petersen, Carsten Lunde Filled Julia sets of Chebyshev polynomials. (English) Zbl 1485.37043 J. Geom. Anal. 31, No. 12, 12250-12263 (2021). Reviewer: José Manuel Gutiérrez Jimenez (Logrono) MSC: 37F10 37F35 31A15 33C45 42C05 PDF BibTeX XML Cite \textit{J. S. Christiansen} et al., J. Geom. Anal. 31, No. 12, 12250--12263 (2021; Zbl 1485.37043) Full Text: DOI arXiv
Wolff, Mareike Exponential polynomials with Fatou and non-escaping sets of finite Lebesgue measure. (English) Zbl 1483.37055 Ergodic Theory Dyn. Syst. 41, No. 12, 3821-3840 (2021). MSC: 37F10 30D05 PDF BibTeX XML Cite \textit{M. Wolff}, Ergodic Theory Dyn. Syst. 41, No. 12, 3821--3840 (2021; Zbl 1483.37055) Full Text: DOI arXiv
Singh, Anand P.; Tomar, Garima Escaping sets of composition of transcendental entire functions. (English) Zbl 1488.30171 J. Indian Math. Soc., New Ser. 88, No. 3-4, 373-386 (2021). MSC: 30D05 37F10 PDF BibTeX XML Cite \textit{A. P. Singh} and \textit{G. Tomar}, J. Indian Math. Soc., New Ser. 88, No. 3--4, 373--386 (2021; Zbl 1488.30171)
Kaur, Ramanpreet; Kumar, Dinesh Results on escaping set of an entire function and its composition. (English) Zbl 1490.37062 Indian J. Pure Appl. Math. 52, No. 1, 79-86 (2021). Reviewer: Tao Chen (New York) MSC: 37F10 37F15 30D05 30D20 PDF BibTeX XML Cite \textit{R. Kaur} and \textit{D. Kumar}, Indian J. Pure Appl. Math. 52, No. 1, 79--86 (2021; Zbl 1490.37062) Full Text: DOI arXiv
Bera, Sayani Rigidity theorems for Hénon maps. II. (English) Zbl 1478.32048 Fundam. Math. 253, No. 1, 1-16 (2021). MSC: 32H50 32H02 37F50 PDF BibTeX XML Cite \textit{S. Bera}, Fundam. Math. 253, No. 1, 1--16 (2021; Zbl 1478.32048) Full Text: DOI arXiv
Cui, Guizhen; Peng, Wenjuan On the cycles of components of disconnected Julia sets. (English) Zbl 1483.37053 Math. Ann. 381, No. 1-2, 971-1003 (2021). Reviewer: Haifeng Chu (Xi’an) MSC: 37F10 37F20 PDF BibTeX XML Cite \textit{G. Cui} and \textit{W. Peng}, Math. Ann. 381, No. 1--2, 971--1003 (2021; Zbl 1483.37053) Full Text: DOI arXiv
Luo, Yusheng On the inhomogeneity of the Mandelbrot set. (English) Zbl 1512.37048 Int. Math. Res. Not. 2021, No. 8, 6051-6076 (2021). MSC: 37F10 30C20 37F46 PDF BibTeX XML Cite \textit{Y. Luo}, Int. Math. Res. Not. 2021, No. 8, 6051--6076 (2021; Zbl 1512.37048) Full Text: DOI arXiv
Evdoridou, Vasiliki; Sixsmith, David J. The topology of the set of non-escaping endpoints. (English) Zbl 1476.30111 Int. Math. Res. Not. 2021, No. 10, 7644-7676 (2021). MSC: 30D05 30D20 PDF BibTeX XML Cite \textit{V. Evdoridou} and \textit{D. J. Sixsmith}, Int. Math. Res. Not. 2021, No. 10, 7644--7676 (2021; Zbl 1476.30111) Full Text: DOI arXiv
Shiga, Hiroshige Corrigendum to: “On complex analytic properties of limit sets and Julia sets”. (English) Zbl 1479.37044 Kodai Math. J. 44, No. 2, 392-394 (2021). MSC: 37F50 30D05 30F40 PDF BibTeX XML Cite \textit{H. Shiga}, Kodai Math. J. 44, No. 2, 392--394 (2021; Zbl 1479.37044) Full Text: DOI
Bergweiler, Walter; Ding, Jie Non-escaping points of Zorich maps. (English) Zbl 1478.37053 Isr. J. Math. 243, No. 1, 27-43 (2021). MSC: 37F80 37F10 PDF BibTeX XML Cite \textit{W. Bergweiler} and \textit{J. Ding}, Isr. J. Math. 243, No. 1, 27--43 (2021; Zbl 1478.37053) Full Text: DOI arXiv
Inou, Hiroyuki; Mukherjee, Sabyasachi Discontinuity of straightening in anti-holomorphic dynamics. I. (English) Zbl 1487.37057 Trans. Am. Math. Soc. 374, No. 9, 6445-6481 (2021). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 37F25 30D05 37F44 37F46 PDF BibTeX XML Cite \textit{H. Inou} and \textit{S. Mukherjee}, Trans. Am. Math. Soc. 374, No. 9, 6445--6481 (2021; Zbl 1487.37057) Full Text: DOI arXiv
Martin, Gaven J. Nondiscrete parabolic characters of the free group \(F_2\): supergroup density and Nielsen classes in the complement of the Riley slice. (English) Zbl 1480.30033 J. Lond. Math. Soc., II. Ser. 103, No. 4, 1402-1414 (2021). Reviewer: Lorenzo Ruffoni (Medford) MSC: 30F40 32G05 PDF BibTeX XML Cite \textit{G. J. Martin}, J. Lond. Math. Soc., II. Ser. 103, No. 4, 1402--1414 (2021; Zbl 1480.30033) Full Text: DOI arXiv
Shahid, Abdul Aziz; Nazeer, Waqas; Gdawiec, Krzysztof The Picard-Mann iteration with \(s\)-convexity in the generation of Mandelbrot and Julia sets. (English) Zbl 1477.37057 Monatsh. Math. 195, No. 4, 565-584 (2021). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 30D05 PDF BibTeX XML Cite \textit{A. A. Shahid} et al., Monatsh. Math. 195, No. 4, 565--584 (2021; Zbl 1477.37057) Full Text: DOI
Pardo-Simón, Leticia Combinatorics of criniferous entire maps with escaping critical values. (English) Zbl 1511.37056 Conform. Geom. Dyn. 25, 51-78 (2021). MSC: 37F10 37F20 30D05 PDF BibTeX XML Cite \textit{L. Pardo-Simón}, Conform. Geom. Dyn. 25, 51--78 (2021; Zbl 1511.37056) Full Text: DOI arXiv
Levin, Genadi; Świątek, Grzegorz Limit drift for complex Feigenbaum mappings. (English) Zbl 1477.37056 Ergodic Theory Dyn. Syst. 41, No. 8, 2428-2479 (2021). MSC: 37F10 37F25 37F35 PDF BibTeX XML Cite \textit{G. Levin} and \textit{G. Świątek}, Ergodic Theory Dyn. Syst. 41, No. 8, 2428--2479 (2021; Zbl 1477.37056) Full Text: DOI arXiv
Blé, G.; Castillo-Santos, F. E.; González, D.; Valdez, R. On a quartic polynomials family of two parameters. (English) Zbl 1477.37054 Dyn. Syst. 36, No. 1, 154-166 (2021). MSC: 37F10 37F46 37F50 PDF BibTeX XML Cite \textit{G. Blé} et al., Dyn. Syst. 36, No. 1, 154--166 (2021; Zbl 1477.37054) Full Text: DOI
Qiu, Weiyuan; Yang, Fei Quasisymmetric uniformization and Hausdorff dimensions of Cantor circle Julia sets. (English) Zbl 1475.37052 Trans. Am. Math. Soc. 374, No. 7, 5191-5223 (2021). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 37F20 37F35 30D05 PDF BibTeX XML Cite \textit{W. Qiu} and \textit{F. Yang}, Trans. Am. Math. Soc. 374, No. 7, 5191--5223 (2021; Zbl 1475.37052) Full Text: DOI arXiv
Dobbs, Neil Knobbly but nice. (English) Zbl 1472.37057 Ergodic Theory Dyn. Syst. 41, No. 7, 2016-2022 (2021). Reviewer: Alexandre De Zotti (London) MSC: 37F10 37F20 37F35 PDF BibTeX XML Cite \textit{N. Dobbs}, Ergodic Theory Dyn. Syst. 41, No. 7, 2016--2022 (2021; Zbl 1472.37057) Full Text: DOI arXiv
Rǎdulescu, Anca; Butera, Kelsey; Williams, Brandee Template iterations of quadratic maps and hybrid Mandelbrot sets. (English) Zbl 1462.30049 J. Nonlinear Sci. 31, No. 1, Paper No. 22, 27 p. (2021). MSC: 30D05 37F10 PDF BibTeX XML Cite \textit{A. Rǎdulescu} et al., J. Nonlinear Sci. 31, No. 1, Paper No. 22, 27 p. (2021; Zbl 1462.30049) Full Text: DOI arXiv
Blokh, Alexander; Chéritat, Arnaud; Oversteegen, Lex; Timorin, Vladlen Location of Siegel capture polynomials in parameter spaces. (English) Zbl 1466.37034 Nonlinearity 34, No. 4, 2430-2453 (2021). MSC: 37F10 37F20 37F50 PDF BibTeX XML Cite \textit{A. Blokh} et al., Nonlinearity 34, No. 4, 2430--2453 (2021; Zbl 1466.37034) Full Text: DOI arXiv
Bonk, Mario; Tran, Huy Trees and hyperbolicity. The continuum self-similar tree. (English) Zbl 1467.37041 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, 143-189 (2021). MSC: 37F10 37F20 37E25 PDF BibTeX XML Cite \textit{M. Bonk} and \textit{H. Tran}, Prog. Probab. 76, 143--189 (2021; Zbl 1467.37041) Full Text: DOI
Fletcher, Alastair; Stoertz, Daniel Spiders’ webs of doughnuts. (English) Zbl 1462.37055 Rev. Mat. Iberoam. 37, No. 1, 161-176 (2021). MSC: 37F80 37F10 30C65 30D05 PDF BibTeX XML Cite \textit{A. Fletcher} and \textit{D. Stoertz}, Rev. Mat. Iberoam. 37, No. 1, 161--176 (2021; Zbl 1462.37055) Full Text: DOI arXiv