Evdoridou, Vasiliki; Glücksam, Adi; Pardo-Simón, Leticia Unbounded fast escaping wandering domains. (English) Zbl 07662129 Adv. Math. 417, Article ID 108914, 31 p. (2023). MSC: 37F10 30D05 PDF BibTeX XML Cite \textit{V. Evdoridou} et al., Adv. Math. 417, Article ID 108914, 31 p. (2023; Zbl 07662129) Full Text: DOI arXiv OpenURL
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). MSC: 37F10 37F20 37F31 37F44 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 OpenURL
Ferreira, Gustavo Rodrigues Symmetries of Julia sets for rational maps. (English) Zbl 07658314 Conform. Geom. Dyn. 27, 145-160 (2023). MSC: 37F10 PDF BibTeX XML Cite \textit{G. R. Ferreira}, Conform. Geom. Dyn. 27, 145--160 (2023; Zbl 07658314) Full Text: DOI arXiv OpenURL
Hawkins, Jane; Koss, Lorelei Single and double toral band Fatou components in meromorphic dynamics. (English) Zbl 07656184 Conform. Geom. Dyn. 27, 118-144 (2023). MSC: 37F10 37F12 30D05 PDF BibTeX XML Cite \textit{J. Hawkins} and \textit{L. Koss}, Conform. Geom. Dyn. 27, 118--144 (2023; Zbl 07656184) Full Text: DOI OpenURL
Dujardin, Romain; Favre, Charles; Gauthier, Thomas When do two rational functions have locally biholomorphic Julia sets? (English) Zbl 07655314 Trans. Am. Math. Soc. 376, No. 3, 1601-1624 (2023). MSC: 37F10 PDF BibTeX XML Cite \textit{R. Dujardin} et al., Trans. Am. Math. Soc. 376, No. 3, 1601--1624 (2023; Zbl 07655314) Full Text: DOI arXiv OpenURL
Gauthier, Thomas; Hutz, Benjamin; Kaschner, Scott Symmetrization of rational maps: arithmetic properties and families of Lattès maps of \(\mathbb{P}^k\). (English) Zbl 07654510 Conform. Geom. Dyn. 27, 98-117 (2023). MSC: 37F10 37P35 37F99 37P45 PDF BibTeX XML Cite \textit{T. Gauthier} et al., Conform. Geom. Dyn. 27, 98--117 (2023; Zbl 07654510) Full Text: DOI arXiv OpenURL
Buff, Xavier; Floyd, William; Koch, Sarah; Parry, Walter Factoring Gleason polynomials modulo 2. (English. French summary) Zbl 07654303 J. Théor. Nombres Bordx. 34, No. 3, 787-812 (2023). MSC: 37F10 37P35 37P05 PDF BibTeX XML Cite \textit{X. Buff} et al., J. Théor. Nombres Bordx. 34, No. 3, 787--812 (2023; Zbl 07654303) Full Text: DOI OpenURL
Canela, Jordi; Evdoridou, Vasiliki; Garijo, Antonio; Jarque, Xavier On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub. (English) Zbl 07653752 Math. Z. 303, No. 3, Paper No. 55, 22 p. (2023). MSC: 30D05 37F10 PDF BibTeX XML Cite \textit{J. Canela} et al., Math. Z. 303, No. 3, Paper No. 55, 22 p. (2023; Zbl 07653752) Full Text: DOI OpenURL
Lodge, Russell; Lyubich, Mikhail; Merenkov, Sergei; Mukherjee, Sabyasachi On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections. (English) Zbl 07649506 Conform. Geom. Dyn. 27, 1-54 (2023). MSC: 37F10 37F32 30C62 30C10 30D05 30F40 30C45 37F31 PDF BibTeX XML Cite \textit{R. Lodge} et al., Conform. Geom. Dyn. 27, 1--54 (2023; Zbl 07649506) Full Text: DOI arXiv OpenURL
Schleicher, Dierk On the efficient global dynamics of Newton’s method for complex polynomials. (English) Zbl 07646813 Nonlinearity 36, No. 2, 1349-1377 (2023). MSC: 37F10 37N30 68Q25 65H04 65-04 PDF BibTeX XML Cite \textit{D. Schleicher}, Nonlinearity 36, No. 2, 1349--1377 (2023; Zbl 07646813) Full Text: DOI arXiv OpenURL
Jacobs, Kenneth Hyperbolic equivariants of rational maps. (English) Zbl 07643722 Int. Math. Res. Not. 2023, No. 1, 1-53 (2023). MSC: 37F10 37P05 PDF BibTeX XML Cite \textit{K. Jacobs}, Int. Math. Res. Not. 2023, No. 1, 1--53 (2023; Zbl 07643722) Full Text: DOI arXiv OpenURL
Schmidt, Harry Polynomial dynamics and local analysis of small and grand orbits. (English) Zbl 07643475 Compos. Math. 159, No. 1, 53-86 (2023). MSC: 37F10 14G20 PDF BibTeX XML Cite \textit{H. Schmidt}, Compos. Math. 159, No. 1, 53--86 (2023; Zbl 07643475) Full Text: DOI arXiv OpenURL
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). 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 OpenURL
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 OpenURL
Nopal-Coello, Víctor Non-Archimedean indifferent components of rational functions that are not disks. (English) Zbl 07618836 Trans. Am. Math. Soc. 376, No. 1, 419-451 (2023). MSC: 11S82 37P05 37P50 37P20 37P40 PDF BibTeX XML Cite \textit{V. Nopal-Coello}, Trans. Am. Math. Soc. 376, No. 1, 419--451 (2023; Zbl 07618836) Full Text: DOI OpenURL
Li, Yezhou; Sun, Heqing A note on the Julia sets of entire solutions to delay differential equations. (English) Zbl 07605440 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 143-155 (2023). MSC: 34M05 37F10 30D35 PDF BibTeX XML Cite \textit{Y. Li} and \textit{H. Sun}, Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 143--155 (2023; Zbl 07605440) Full Text: DOI OpenURL
Fletcher, Alastair; Stoertz, Daniel Genus 2 Cantor sets. (English) Zbl 07666947 Pac. J. Math. 321, No. 2, 283-307 (2022). MSC: 54C50 30C65 37F10 37F50 PDF BibTeX XML Cite \textit{A. Fletcher} and \textit{D. Stoertz}, Pac. J. Math. 321, No. 2, 283--307 (2022; Zbl 07666947) Full Text: DOI arXiv OpenURL
Avila, Artur; Cheraghi, Davoud; Eliad, Alexander Analytic maps of parabolic and elliptic type with trivial centralisers. (English) Zbl 07665911 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 4, 885-903 (2022). MSC: 37F50 37E10 37F10 PDF BibTeX XML Cite \textit{A. Avila} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 4, 885--903 (2022; Zbl 07665911) Full Text: DOI arXiv OpenURL
Lodge, Russell; Luo, Yusheng; Mukherjee, Sabyasachi On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps. (English) Zbl 07648710 Geom. Funct. Anal. 32, No. 6, 1428-1485 (2022). MSC: 37F10 37F20 37F32 37F34 37F46 30F40 37F15 51F15 PDF BibTeX XML Cite \textit{R. Lodge} et al., Geom. Funct. Anal. 32, No. 6, 1428--1485 (2022; Zbl 07648710) Full Text: DOI arXiv OpenURL
Boc Thaler, Luka Corrigendum to: “A reconstruction theorem for complex polynomials”. (English) Zbl 07645580 Int. J. Math. 33, No. 14, Article ID 2292004, 10 p. (2022). MSC: 37F10 37F50 37A35 37C40 PDF BibTeX XML Cite \textit{L. Boc Thaler}, Int. J. Math. 33, No. 14, Article ID 2292004, 10 p. (2022; Zbl 07645580) Full Text: DOI OpenURL
Huang, Xiaojie; Liu, Zhixiu; Li, Yuntong The Hausdorff dimension of directional edge escaping points set. (English) Zbl 07644255 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 07644255) Full Text: DOI OpenURL
Viennot, David Competition between decoherence and purification: quaternionic representation and quaternionic fractals. (English) Zbl 07641337 Chaos Solitons Fractals 161, Article ID 112346, 9 p. (2022). MSC: 81P68 81P05 81P15 81P40 37F10 30D05 PDF BibTeX XML Cite \textit{D. Viennot}, Chaos Solitons Fractals 161, Article ID 112346, 9 p. (2022; Zbl 07641337) Full Text: DOI arXiv OpenURL
Bylund, Mats Equivalence of Collet-Eckmann conditions for slowly recurrent rational maps. (English) Zbl 07640256 Conform. Geom. Dyn. 26, 235-242 (2022). MSC: 37F10 37F15 37B20 PDF BibTeX XML Cite \textit{M. Bylund}, Conform. Geom. Dyn. 26, 235--242 (2022; Zbl 07640256) Full Text: DOI arXiv OpenURL
Cui, Weiwei; Hu, Jun Totally ramified rational maps. (English) Zbl 07640255 Conform. Geom. Dyn. 26, 208-234 (2022). MSC: 37F20 37F10 PDF BibTeX XML Cite \textit{W. Cui} and \textit{J. Hu}, Conform. Geom. Dyn. 26, 208--234 (2022; Zbl 07640255) Full Text: DOI OpenURL
Levin, Genadi; Przytycki, Feliks No hyperbolic sets in \(J_{\infty}\) for infinitely renormalizable quadratic polynomials. (English) Zbl 07639119 Isr. J. Math. 251, No. 2, 635-656 (2022). MSC: 37F10 37F15 37F25 PDF BibTeX XML Cite \textit{G. Levin} and \textit{F. Przytycki}, Isr. J. Math. 251, No. 2, 635--656 (2022; Zbl 07639119) Full Text: DOI arXiv OpenURL
Mello, Jorge Cyclotomic preperiodic points for morphismsin affine spaces and preperiodic points with bounded house and height. (English) Zbl 07634424 Funct. Approximatio, Comment. Math. 67, No. 2, 259-279 (2022). MSC: 11R18 37F10 PDF BibTeX XML Cite \textit{J. Mello}, Funct. Approximatio, Comment. Math. 67, No. 2, 259--279 (2022; Zbl 07634424) Full Text: DOI arXiv Link OpenURL
Hayes, Sandra Quadratic dynamics over hyperbolic numbers: a brief survey. (English) Zbl 07633258 Surv. Math. Appl. 17, 269-275 (2022). MSC: 37-02 37C35 PDF BibTeX XML Cite \textit{S. Hayes}, Surv. Math. Appl. 17, 269--275 (2022; Zbl 07633258) Full Text: Link OpenURL
Lodge, Russell; Mikulich, Yauhen; Schleicher, Dierk A classification of postcritically finite Newton maps. (English) Zbl 07632755 Ohshika, Ken’ichi (ed.) et al., In the tradition of Thurston II. Geometry and groups. Cham: Springer. 421-448 (2022). MSC: 30D05 37F10 37F20 PDF BibTeX XML Cite \textit{R. Lodge} et al., in: In the tradition of Thurston II. Geometry and groups. Cham: Springer. 421--448 (2022; Zbl 07632755) Full Text: DOI arXiv OpenURL
Mj, Mahan; Mukherjee, Sabyasachi Combination theorems in groups, geometry and dynamics. (English) Zbl 07632752 Ohshika, Ken’ichi (ed.) et al., In the tradition of Thurston II. Geometry and groups. Cham: Springer. 331-383 (2022). MSC: 57M50 20F65 20F67 37F10 37F32 30F60 30F40 57-02 20-02 37-02 30-02 PDF BibTeX XML Cite \textit{M. Mj} and \textit{S. Mukherjee}, in: In the tradition of Thurston II. Geometry and groups. Cham: Springer. 331--383 (2022; Zbl 07632752) Full Text: DOI arXiv OpenURL
Kisaka, Masashi; Naba, Hiroto Some transcendental entire functions with irrationally indifferent fixed points. (English) Zbl 1503.30072 Kodai Math. J. 45, No. 3, 369-387 (2022). MSC: 30D20 30D05 37F10 PDF BibTeX XML Cite \textit{M. Kisaka} and \textit{H. Naba}, Kodai Math. J. 45, No. 3, 369--387 (2022; Zbl 1503.30072) Full Text: DOI OpenURL
Calegari, Danny Sausages and butcher paper. (English) Zbl 1499.37082 Kang, Nam-Gyu (ed.) et al., Recent progress in mathematics. Singapore: Springer. KIAS Springer Ser. Math. 1, 155-200 (2022). MSC: 37F10 30D05 20F65 37-02 PDF BibTeX XML Cite \textit{D. Calegari}, KIAS Springer Ser. Math. 1, 155--200 (2022; Zbl 1499.37082) Full Text: DOI arXiv OpenURL
Bergweiler, Walter; Cui, Weiwei The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class. (English) Zbl 07619446 Math. Z. 302, No. 4, 2193-2205 (2022). MSC: 37F10 37F35 30D05 PDF BibTeX XML Cite \textit{W. Bergweiler} and \textit{W. Cui}, Math. Z. 302, No. 4, 2193--2205 (2022; Zbl 07619446) Full Text: DOI arXiv OpenURL
Kisaka, Masashi; Naba, Hiroto Best possibility of the Fatou-Shishikura inequality for transcendental entire functions in the Speiser class. (English) Zbl 07615748 Conform. Geom. Dyn. 26, 165-181 (2022). MSC: 37F31 37F10 30D05 30A10 30C62 PDF BibTeX XML Cite \textit{M. Kisaka} and \textit{H. Naba}, Conform. Geom. Dyn. 26, 165--181 (2022; Zbl 07615748) Full Text: DOI OpenURL
Goldberg, Bryan; Yang, Rongwei Self-similarity and spectral dynamics. (English) Zbl 07606511 J. Oper. Theory 87, No. 2, 355-388 (2022). MSC: 43A65 47A13 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 OpenURL
Londhe, Mayuresh Dynamics of polynomial semigroups: measures, potentials, and external fields. (English) Zbl 07606123 J. Anal. Math. 147, No. 1, 165-200 (2022). MSC: 37F44 37F10 30G12 30C85 31A15 PDF BibTeX XML Cite \textit{M. Londhe}, J. Anal. Math. 147, No. 1, 165--200 (2022; Zbl 07606123) Full Text: DOI arXiv OpenURL
Yang, Fei On the formulas of meromorphic functions with periodic Herman rings. (English) Zbl 07605961 Math. Ann. 384, No. 3-4, 989-1015 (2022). Reviewer: Feng Rong (Shanghai) MSC: 37F10 37F50 37F20 37F46 PDF BibTeX XML Cite \textit{F. Yang}, Math. Ann. 384, No. 3--4, 989--1015 (2022; Zbl 07605961) Full Text: DOI arXiv OpenURL
Lipham, David S. Distinguishing endpoint sets from Erdős space. (English) Zbl 07605297 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 07605297) Full Text: DOI arXiv OpenURL
Okuyama, Yûsuke Parabolic bifurcation loci in the spaces of rational functions. (English) Zbl 07604061 Nonlinearity 35, No. 11, 5938-5962 (2022). MSC: 37F46 37F10 32H50 PDF BibTeX XML Cite \textit{Y. Okuyama}, Nonlinearity 35, No. 11, 5938--5962 (2022; Zbl 07604061) Full Text: DOI OpenURL
Luo, Yusheng Trees, length spectra for rational maps via barycentric extensions, and Berkovich spaces. (English) Zbl 07600556 Duke Math. J. 171, No. 14, 2943-3001 (2022). MSC: 37P50 37F10 37E25 PDF BibTeX XML Cite \textit{Y. Luo}, Duke Math. J. 171, No. 14, 2943--3001 (2022; Zbl 07600556) Full Text: DOI arXiv OpenURL
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 07597919 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 07597919) Full Text: DOI OpenURL
Pakovich, Fedor On amenable semigroups of rational functions. (English) Zbl 07595837 Trans. Am. Math. Soc. 375, No. 11, 7945-7979 (2022). MSC: 37F10 43A07 PDF BibTeX XML Cite \textit{F. Pakovich}, Trans. Am. Math. Soc. 375, No. 11, 7945--7979 (2022; Zbl 07595837) Full Text: DOI arXiv OpenURL
Demarco, Laura; Krieger, Holly; Ye, Hexi Common preperiodic points for quadratic polynomials. (English) Zbl 1503.37101 J. Mod. Dyn. 18, 363-413 (2022). MSC: 37P35 37F10 37P30 37P50 PDF BibTeX XML Cite \textit{L. Demarco} et al., J. Mod. Dyn. 18, 363--413 (2022; Zbl 1503.37101) Full Text: DOI arXiv OpenURL
Gao, Yan Monotonicity of entropy for unimodal real quadratic rational maps. (English) Zbl 07593589 Discrete Contin. Dyn. Syst. 42, No. 11, 5377-5386 (2022). Reviewer: Hasan Akin (Trieste) MSC: 37B40 37E05 37F10 37F20 PDF BibTeX XML Cite \textit{Y. Gao}, Discrete Contin. Dyn. Syst. 42, No. 11, 5377--5386 (2022; Zbl 07593589) Full Text: DOI arXiv OpenURL
Farris, Salma M. Generalized Mandelbrot sets of a family of polynomials \(P_n(z)= z^n+z+c\); \((n \geq 2)\). (English) Zbl 1497.37052 Int. J. Math. Math. Sci. 2022, Article ID 4510088, 9 p. (2022). MSC: 37F10 37F46 PDF BibTeX XML Cite \textit{S. M. Farris}, Int. J. Math. Math. Sci. 2022, Article ID 4510088, 9 p. (2022; Zbl 1497.37052) Full Text: DOI OpenURL
Strichartz, Robert S.; Wiese, Samuel C. Spectral properties of Laplacians on snowflake domains and filled Julia sets. (English) Zbl 1497.35326 Exp. Math. 31, No. 3, 1014-1025 (2022). MSC: 35P05 35J25 PDF BibTeX XML Cite \textit{R. S. Strichartz} and \textit{S. C. Wiese}, Exp. Math. 31, No. 3, 1014--1025 (2022; Zbl 1497.35326) Full Text: DOI arXiv OpenURL
Shoikhet, David Book review of: F. Bracci et al., Continuous semigroups of holomorphic self-maps of the unit disc. (English) Zbl 1502.00074 Bull. Am. Math. Soc., New Ser. 59, No. 4, 623-627 (2022). MSC: 00A17 30-02 30C20 30C45 22A15 37F10 PDF BibTeX XML Cite \textit{D. Shoikhet}, Bull. Am. Math. Soc., New Ser. 59, No. 4, 623--627 (2022; Zbl 1502.00074) Full Text: DOI OpenURL
Xuan, Zuxing Geometry and ergodic theory of parabolic meromorphic functions. (English) Zbl 1497.30010 J. Nonlinear Math. Phys. 29, No. 2, 368-387 (2022). MSC: 30D30 37F10 30C85 PDF BibTeX XML Cite \textit{Z. Xuan}, J. Nonlinear Math. Phys. 29, No. 2, 368--387 (2022; Zbl 1497.30010) Full Text: DOI OpenURL
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 OpenURL
Huguin, Valentin Quadratic rational maps with integer multipliers. (English) Zbl 07585683 Math. Z. 302, No. 2, 949-969 (2022). MSC: 37P05 37P35 37F10 37F44 PDF BibTeX XML Cite \textit{V. Huguin}, Math. Z. 302, No. 2, 949--969 (2022; Zbl 07585683) Full Text: DOI arXiv OpenURL
Drach, Kostiantyn; Schleicher, Dierk Rigidity of Newton dynamics. (English) Zbl 07585353 Adv. Math. 408 A, Article ID 108591, 64 p. (2022). Reviewer: Marco Abate (Pisa) MSC: 30D05 37F10 37F20 PDF BibTeX XML Cite \textit{K. Drach} and \textit{D. Schleicher}, Adv. Math. 408 A, Article ID 108591, 64 p. (2022; Zbl 07585353) Full Text: DOI arXiv OpenURL
Yetişer, Melike; Yetişer, Ali Berkay On elastic graph spines associated to quadratic Thurston maps. (English) Zbl 07582153 Turk. J. Math. 46, No. 4, 1233-1242 (2022). MSC: 37F20 37F10 37E25 37E15 PDF BibTeX XML Cite \textit{M. Yetişer} and \textit{A. B. Yetişer}, Turk. J. Math. 46, No. 4, 1233--1242 (2022; Zbl 07582153) Full Text: DOI OpenURL
Benedetto, Robert L. A survey of non-Archimedean dynamics. (English) Zbl 07579403 Notices Am. Math. Soc. 69, No. 5, 715-723 (2022). MSC: 37-02 37Pxx 37F10 26E30 11D88 11E95 11F85 11S82 PDF BibTeX XML Cite \textit{R. L. Benedetto}, Notices Am. Math. Soc. 69, No. 5, 715--723 (2022; Zbl 07579403) Full Text: DOI OpenURL
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 OpenURL
Pascual-Escudero, Beatriz; Torres, Angélica Algebraic and combinatorial tools for the study of polynomial dynamical systems. (Spanish) Zbl 1498.37077 Gac. R. Soc. Mat. Esp. 25, No. 2, 299-325 (2022). MSC: 37F10 37-01 PDF BibTeX XML Cite \textit{B. Pascual-Escudero} and \textit{A. Torres}, Gac. R. Soc. Mat. Esp. 25, No. 2, 299--325 (2022; Zbl 1498.37077) Full Text: Link OpenURL
Nayak, Tarakanta; Pal, Soumen Quadratic and cubic Newton maps of rational functions. (English) Zbl 1503.37059 Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 46, 17 p. (2022). MSC: 37F10 30D05 PDF BibTeX XML Cite \textit{T. Nayak} and \textit{S. Pal}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 46, 17 p. (2022; Zbl 1503.37059) Full Text: DOI arXiv OpenURL
Robles, Rodrigo; Sienra, Guillermo Baker domains and non-convergent deformations. (English) Zbl 07574256 J. Fractal Geom. 9, No. 1-2, 1-23 (2022). Reviewer: Tao Chen (New York) MSC: 37F20 37F10 37F46 37F31 37F44 30D05 PDF BibTeX XML Cite \textit{R. Robles} and \textit{G. Sienra}, J. Fractal Geom. 9, No. 1--2, 1--23 (2022; Zbl 07574256) Full Text: DOI OpenURL
Wang, Yupin; Li, Xiaodi; Wang, Da; Liu, Shutang A brief note on fractal dynamics of fractional Mandelbrot sets. (English) Zbl 07568396 Appl. Math. Comput. 432, Article ID 127353, 8 p. (2022). MSC: 26A33 28A80 37F10 37F46 PDF BibTeX XML Cite \textit{Y. Wang} et al., Appl. Math. Comput. 432, Article ID 127353, 8 p. (2022; Zbl 07568396) Full Text: DOI OpenURL
Clark, Trevor; Drach, Kostiantyn; Kozlovski, Oleg; Strien, Sebastian van The dynamics of complex box mappings. (English) Zbl 1502.37057 Arnold Math. J. 8, No. 2, 319-410 (2022). MSC: 37F44 37F10 37F15 37F20 37F25 PDF BibTeX XML Cite \textit{T. Clark} et al., Arnold Math. J. 8, No. 2, 319--410 (2022; Zbl 1502.37057) Full Text: DOI arXiv OpenURL
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Cutpoints of invariant subcontinua of polynomial Julia sets. (English) Zbl 07566842 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 07566842) Full Text: DOI arXiv OpenURL
Chéritat, Arnaud Near parabolic renormalization for unicritical holomorphic maps. (English) Zbl 07566841 Arnold Math. J. 8, No. 2, 169-270 (2022). Reviewer: Weiwei Cui (Lund) MSC: 37F25 37F10 PDF BibTeX XML Cite \textit{A. Chéritat}, Arnold Math. J. 8, No. 2, 169--270 (2022; Zbl 07566841) Full Text: DOI arXiv OpenURL
Chen, Tao; Jiang, Yunping; Keen, Linda Accessible boundary points in the shift locus of a family of meromorphic functions with two finite asymptotic values. (English) Zbl 07566840 Arnold Math. J. 8, No. 2, 147-167 (2022). MSC: 37F46 37F20 37F10 30D30 PDF BibTeX XML Cite \textit{T. Chen} et al., Arnold Math. J. 8, No. 2, 147--167 (2022; Zbl 07566840) Full Text: DOI arXiv OpenURL
Benini, Anna Miriam; Evdoridou, Vasiliki; Fagella, Núria; Rippon, Philip J.; Stallard, Gwyneth M. Classifying simply connected wandering domains. (English) Zbl 07566699 Math. Ann. 383, No. 3-4, 1127-1178 (2022). Reviewer: Feng Rong (Shanghai) MSC: 37F20 37F10 30E10 30F45 PDF BibTeX XML Cite \textit{A. M. Benini} et al., Math. Ann. 383, No. 3--4, 1127--1178 (2022; Zbl 07566699) Full Text: DOI arXiv OpenURL
Fu, Yuming; Yang, Fei; Zhang, Gaofei Quadratic rational maps with a 2-cycle of Siegel disks. (English) Zbl 07563327 J. Geom. Anal. 32, No. 10, Paper No. 244, 26 p. (2022). Reviewer: Weiwei Cui (Lund) MSC: 37F10 37F20 37F12 PDF BibTeX XML Cite \textit{Y. Fu} et al., J. Geom. Anal. 32, No. 10, Paper No. 244, 26 p. (2022; Zbl 07563327) Full Text: DOI arXiv OpenURL
Canela, Jordi; Jarque, Xavier; Paraschiv, Dan Achievable connectivities of Fatou components for a family of singular perturbations. (English) Zbl 07562686 Discrete Contin. Dyn. Syst. 42, No. 9, 4237-4261 (2022). Reviewer: Yongquan Zhang (Stony Brook) MSC: 37F10 37F12 37F20 37F44 30D05 PDF BibTeX XML Cite \textit{J. Canela} et al., Discrete Contin. Dyn. Syst. 42, No. 9, 4237--4261 (2022; Zbl 07562686) Full Text: DOI arXiv OpenURL
Charak, K. S.; Singh, A.; Kumar, M. Fatou- and Julia-like sets. (English) Zbl 1494.30068 Ukr. Math. J. 73, No. 10, 1654-1661 (2022) and Ukr. Mat. Zh. 73, No. 10, 1432-1438 (2021). MSC: 30D45 PDF BibTeX XML Cite \textit{K. S. Charak} et al., Ukr. Math. J. 73, No. 10, 1654--1661 (2022; Zbl 1494.30068) Full Text: DOI arXiv OpenURL
Sola, Alan; Tully-Doyle, Ryan Dynamics of low-degree rational inner skew-products on \(\mathbb{T}^2\). (English) Zbl 07556724 Ann. Pol. Math. 128, No. 3, 249-273 (2022). MSC: 37F10 37F80 PDF BibTeX XML Cite \textit{A. Sola} and \textit{R. Tully-Doyle}, Ann. Pol. Math. 128, No. 3, 249--273 (2022; Zbl 07556724) Full Text: DOI arXiv OpenURL
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: 37F80 32H50 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 OpenURL
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 OpenURL
Argyros, Ioannis K.; Sharma, Debasis; Parhi, Sanjaya Kumar; Sunanda, Shanta Kumari A study on the local convergence and complex dynamics of Kou’s family of iterative methods. (English) Zbl 1501.39008 S\(\vec{\text{e}}\)MA J. 79, No. 2, 365-381 (2022). MSC: 39B12 37F10 41A25 47J25 65J15 65Y20 65H20 PDF BibTeX XML Cite \textit{I. K. Argyros} et al., S\(\vec{\text{e}}\)MA J. 79, No. 2, 365--381 (2022; Zbl 1501.39008) Full Text: DOI OpenURL
Katagata, Koh Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets. (English) Zbl 07548192 J. Difference Equ. Appl. 28, No. 5, 605-637 (2022). Reviewer: Alekos Vidras (Nicosia) MSC: 37F10 37F20 30D05 PDF BibTeX XML Cite \textit{K. Katagata}, J. Difference Equ. Appl. 28, No. 5, 605--637 (2022; Zbl 07548192) Full Text: DOI OpenURL
Ghora, Subhasis; Nayak, Tarakanta On periods of Herman rings and relevant poles. (English) Zbl 1489.37062 Indian J. Pure Appl. Math. 53, No. 2, 505-513 (2022). MSC: 37F10 37F44 PDF BibTeX XML Cite \textit{S. Ghora} and \textit{T. Nayak}, Indian J. Pure Appl. Math. 53, No. 2, 505--513 (2022; Zbl 1489.37062) Full Text: DOI arXiv OpenURL
Bencs, Ferenc; Buys, Pjotr; Guerini, Lorenzo; Peters, Han Lee-Yang zeros of the antiferromagnetic Ising model. (English) Zbl 1491.82004 Ergodic Theory Dyn. Syst. 42, No. 7, 2172-2206 (2022). MSC: 82B20 05C25 05C05 37F10 PDF BibTeX XML Cite \textit{F. Bencs} et al., Ergodic Theory Dyn. Syst. 42, No. 7, 2172--2206 (2022; Zbl 1491.82004) Full Text: DOI arXiv OpenURL
Bedford, Eric; Dujardin, Romain Topological and geometric hyperbolicity criteria for polynomial automorphisms of \(\mathbb{C}^2\). (English) Zbl 1501.37050 Ergodic Theory Dyn. Syst. 42, No. 7, 2151-2171 (2022). MSC: 37F80 37F15 37F10 PDF BibTeX XML Cite \textit{E. Bedford} and \textit{R. Dujardin}, Ergodic Theory Dyn. Syst. 42, No. 7, 2151--2171 (2022; Zbl 1501.37050) Full Text: DOI arXiv OpenURL
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 OpenURL
Lech, Krzysztof; Zdunik, Anna Total disconnectedness of Julia sets of random quadratic polynomials. (English) Zbl 1501.37045 Ergodic Theory Dyn. Syst. 42, No. 5, 1764-1780 (2022). MSC: 37F10 37H12 31A05 37F12 PDF BibTeX XML Cite \textit{K. Lech} and \textit{A. Zdunik}, Ergodic Theory Dyn. Syst. 42, No. 5, 1764--1780 (2022; Zbl 1501.37045) Full Text: DOI arXiv OpenURL
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 OpenURL
Tsantaris, Athanasios Permutable quasiregular maps. (English) Zbl 1503.37060 Math. Proc. Camb. Philos. Soc. 173, No. 1, 105-121 (2022). Reviewer: Weiwei Cui (Lund) MSC: 37F10 30C65 30D05 PDF BibTeX XML Cite \textit{A. Tsantaris}, Math. Proc. Camb. Philos. Soc. 173, No. 1, 105--121 (2022; Zbl 1503.37060) Full Text: DOI arXiv OpenURL
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 OpenURL
Cui, Guizhen; Gao, Yan; Zeng, Jinsong Invariant graphs of rational maps. (English) Zbl 07537717 Adv. Math. 404, Part B, Article ID 108454, 50 p. (2022). Reviewer: José Manuel Gutiérrez Jimenez (Logroño) MSC: 37F10 37F20 PDF BibTeX XML Cite \textit{G. Cui} et al., Adv. Math. 404, Part B, Article ID 108454, 50 p. (2022; Zbl 07537717) Full Text: DOI arXiv OpenURL
Cortez, María Isabel; Lukina, Olga Settled elements in profinite groups. (English) Zbl 07537703 Adv. Math. 404, Part B, Article ID 108424, 56 p. (2022). MSC: 37P05 37P15 37E25 20E18 20E08 20E28 22B05 37F10 37B05 11R09 11R32 22A05 20E22 PDF BibTeX XML Cite \textit{M. I. Cortez} and \textit{O. Lukina}, Adv. Math. 404, Part B, Article ID 108424, 56 p. (2022; Zbl 07537703) Full Text: DOI arXiv OpenURL
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 OpenURL
Tien Cuong Dinh; Lin, Hsueh-Yung; Oguiso, Keiji; Zhang, De-Qi Zero entropy automorphisms of compact Kähler manifolds and dynamical filtrations. (English) Zbl 07536481 Geom. Funct. Anal. 32, No. 3, 568-594 (2022). MSC: 14J50 37F10 32H50 37F80 14E07 32M05 37B40 PDF BibTeX XML Cite \textit{Tien Cuong Dinh} et al., Geom. Funct. Anal. 32, No. 3, 568--594 (2022; Zbl 07536481) Full Text: DOI arXiv OpenURL
Cumsille, Patricio; González-Marín, Juan; Honorato, Gerardo; Lugo, Diego Disconnected Julia set of Halley’s method for exponential maps. (English) Zbl 1501.37044 Dyn. Syst. 37, No. 2, 280-294 (2022). Reviewer: Haifeng Chu (Xi’an) MSC: 37F10 30D05 30D20 PDF BibTeX XML Cite \textit{P. Cumsille} et al., Dyn. Syst. 37, No. 2, 280--294 (2022; Zbl 1501.37044) Full Text: DOI OpenURL
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 07533976 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 70, 14 p. (2022). MSC: 37F10 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 07533976) Full Text: DOI OpenURL
Blanc, Jeremy; van Santen, Immanuel Automorphisms of the affine 3-space of degree 3. (English) Zbl 07525035 Indiana Univ. Math. J. 71, No. 2, 857-912 (2022). MSC: 14R10 37F10 PDF BibTeX XML Cite \textit{J. Blanc} and \textit{I. van Santen}, Indiana Univ. Math. J. 71, No. 2, 857--912 (2022; Zbl 07525035) Full Text: DOI arXiv OpenURL
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 OpenURL
Astorg, Matthieu Summability condition and rigidity for finite type maps. (English) Zbl 07524681 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 1, 399-423 (2022). Reviewer: Alexander Felshtyn (Szczecin) MSC: 37F34 37F10 37C30 57K20 PDF BibTeX XML Cite \textit{M. Astorg}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 1, 399--423 (2022; Zbl 07524681) Full Text: DOI arXiv OpenURL
Nicolau, Artur; Soler i. Gibert, Odí A central limit theorem for inner functions. (English) Zbl 1492.30060 Adv. Math. 401, Article ID 108318, 39 p. (2022). MSC: 30D05 30J05 37A05 37F10 PDF BibTeX XML Cite \textit{A. Nicolau} and \textit{O. Soler i. Gibert}, Adv. Math. 401, Article ID 108318, 39 p. (2022; Zbl 1492.30060) Full Text: DOI arXiv OpenURL
Wang, Zheng; Huang, Zhi Gang On transcendental directions of entire solutions of linear differential equations. (English) Zbl 1485.34211 AIMS Math. 7, No. 1, 276-287 (2022). MSC: 34M10 30D35 37F10 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{Z. G. Huang}, AIMS Math. 7, No. 1, 276--287 (2022; Zbl 1485.34211) Full Text: DOI OpenURL
Boxall, Gareth; Jones, Gareth A.; Schmidt, Harry Rational values of transcendental functions and arithmetic dynamics. (English) Zbl 1503.37100 J. Eur. Math. Soc. (JEMS) 24, No. 5, 1567-1592 (2022). Reviewer: Wade Hindes (San Marcos) MSC: 37P05 37P30 37F10 37F15 11G50 11R09 30D35 PDF BibTeX XML Cite \textit{G. Boxall} et al., J. Eur. Math. Soc. (JEMS) 24, No. 5, 1567--1592 (2022; Zbl 1503.37100) Full Text: DOI arXiv OpenURL
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 OpenURL
Sani, R. Hoseini; Behnia, S.; Akhshani, A. Creation of S-box based on a hierarchy of Julia sets: image encryption approach. (English) Zbl 1491.94010 Multidimensional Syst. Signal Process. 33, No. 1, 39-62 (2022). MSC: 94A08 94A60 PDF BibTeX XML Cite \textit{R. H. Sani} et al., Multidimensional Syst. Signal Process. 33, No. 1, 39--62 (2022; Zbl 1491.94010) Full Text: DOI OpenURL
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 OpenURL
Mayer, Volker; Urbański, Mariusz The exact value of Hausdorff dimension of escaping sets of class \(\mathcal{B}\) meromorphic functions. (English) Zbl 1500.37035 Geom. Funct. Anal. 32, No. 1, 53-80 (2022). Reviewer: Liangwen Liao (Nanjing) MSC: 37F10 37F35 30D05 30D30 PDF BibTeX XML Cite \textit{V. Mayer} and \textit{M. Urbański}, Geom. Funct. Anal. 32, No. 1, 53--80 (2022; Zbl 1500.37035) Full Text: DOI arXiv OpenURL
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 OpenURL
Luo, Yusheng On geometrically finite degenerations. II: Convergence and divergence. (English) Zbl 1502.37056 Trans. Am. Math. Soc. 375, No. 5, 3469-3527 (2022). Reviewer: Tao Chen (New York) MSC: 37F10 37F34 37F15 PDF BibTeX XML Cite \textit{Y. Luo}, Trans. Am. Math. Soc. 375, No. 5, 3469--3527 (2022; Zbl 1502.37056) Full Text: DOI arXiv OpenURL
Bera, Sayani; Pal, Ratna Rigidity of Julia sets of families of biholomorphic mappings in higher dimensions. (English) Zbl 1487.32093 Comput. Methods Funct. Theory 22, No. 1, 55-93 (2022). MSC: 32H50 37F10 32H02 PDF BibTeX XML Cite \textit{S. Bera} and \textit{R. Pal}, Comput. Methods Funct. Theory 22, No. 1, 55--93 (2022; Zbl 1487.32093) Full Text: DOI arXiv OpenURL
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 OpenURL
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 OpenURL
He, Yan Mary; Nie, Hongming Quantitative equidistribution of angles of multipliers. (English) Zbl 1501.37048 Fundam. Math. 257, No. 1, 95-113 (2022). MSC: 37F15 37F10 PDF BibTeX XML Cite \textit{Y. M. He} and \textit{H. Nie}, Fundam. Math. 257, No. 1, 95--113 (2022; Zbl 1501.37048) Full Text: DOI arXiv OpenURL