Zhang, Runze On dynamical parameter space of cubic polynomials with a parabolic fixed point. (English) Zbl 07963352 J. Lond. Math. Soc., II. Ser. 110, No. 6, Article ID e70038, 83 p. (2024). MSC: 37F10 37F44 37F46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Habegger, P.; Schmidt, H. Lower bounds for the canonical height of a unicritical polynomial and capacity. (English) Zbl 1546.11101 Forum Math. Sigma 12, Paper No. e45, 20 p. (2024). Reviewer: David McKinnon (Waterloo) MSC: 11G50 14G40 30C85 37P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Seung-Yeop; Lyubich, Mikhail; Makarov, Nikolai G.; Mukherjee, Sabyasachi Dynamics of Schwarz reflections: the mating phenomena. (Dynamique des réflexions de Schwarz: un phénomène d’accouplement.) (English. French summary) Zbl 1541.37046 Ann. Sci. Éc. Norm. Supér. (4) 56, No. 6, 1826-1881 (2023). MSC: 37F10 37F20 37F31 37F32 37F46 30D05 30C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chazottes, J.-R.; Monticelli, M. Computer experiments and visualization in mathematics and physics: a subjective short walk among some historical examples. (English) Zbl 1539.00007 Math. Intell. 45, No. 4, 320-334 (2023). Reviewer: Andreas Arvanitoyeorgos (Pátra) MSC: 00A09 01A60 68-03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Dorfsman-Hopkins, Gabriel Deformation spaces and static animations. (English) Zbl 1528.65014 Trnkova, Maria (ed.) et al., 3D printing in mathematics. AMS short course 3D printing: challenges and applications, virtual, January 3–4, 2022. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Appl. Math. 79, 73-110 (2023). MSC: 65D17 68U05 37F75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lindsey, Kathryn; Wu, Chenxi A characterization of Thurston’s Master Teapot. (English) Zbl 1533.37097 Ergodic Theory Dyn. Syst. 43, No. 10, 3354-3382 (2023). MSC: 37E05 37B40 37B10 37E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qiu, Weiyuan; Wang, Yueyang Intersections between boundaries of bounded hyperbolic components of cubic polynomials. (English) Zbl 1535.37055 Math. Z. 305, No. 4, Paper No. 55, 36 p. (2023). Reviewer: Walter Bergweiler (Kiel) MSC: 37F15 37F10 37F12 × Cite Format Result Cite Review PDF Full Text: DOI
Benham, Heidi; Galarraga, Alexander; Hutz, Benjamin; Lupo, Joey; Peng, Wayne; Towsley, Adam Integrality and Thurston rigidity for bicritical PCF polynomials. (English) Zbl 1538.37052 Period. Math. Hung. 87, No. 1, 245-264 (2023). MSC: 37P05 37P15 37P45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Astorg, Matthieu; Bianchi, Fabrizio Hyperbolicity and bifurcations in holomorphic families of polynomial skew products. (English) Zbl 1527.37049 Am. J. Math. 145, No. 3, 861-898 (2023). MSC: 37F80 37F46 37F15 37F44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pfrang, David; Rothgang, Michael; Schleicher, Dierk Homotopy Hubbard trees for post-singularly finite exponential maps. (English) Zbl 1539.37051 Ergodic Theory Dyn. Syst. 43, No. 1, 253-298 (2023). MSC: 37F20 37F10 37F46 37B10 37E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benedetto, Robert L.; Goksel, Vefa Misiurewicz polynomials and dynamical units, part I. (English) Zbl 1523.37052 Int. J. Number Theory 19, No. 6, 1249-1267 (2023). MSC: 37F10 37F34 37P05 37P35 11R09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Graczyk, Jacek; Świątek, Grzegorz Analytic structures and harmonic measure at bifurcation locus. (English) Zbl 1525.30023 Adv. Math. 421, Article ID 108998, 38 p. (2023). Reviewer: Risto Korhonen (Joensuu) MSC: 30D05 31C40 37F35 28A75 30C75 30C85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coronel, Daniel; Rivera-Letelier, Juan Robust sensitive dependence of geometric Gibbs states for analytic families of quadratic maps. (English) Zbl 1518.37045 Adv. Math. 421, Article ID 108964, 72 p. (2023). MSC: 37D35 37C40 37E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dudko, Artem; Gorbovickis, Igors; Tucker, Warwick Lower bounds on the Hausdorff dimension of some Julia sets. (English) Zbl 1525.37046 Nonlinearity 36, No. 5, 2867-2893 (2023). Reviewer: Weiwei Cui (Lund) MSC: 37F35 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Siqueira, Carlos Hausdorff dimension of Julia sets of unicritical correspondences. (English) Zbl 1518.37055 Proc. Am. Math. Soc. 151, No. 2, 633-645 (2023). MSC: 37F05 37F10 37D35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
İnce, İbrahim; Ersoy, Soley Fuzzy Mandelbrot sets. (English) Zbl 1522.37063 Fuzzy Sets Syst. 435, 78-88 (2022). MSC: 37F46 03E72 × Cite Format Result Cite Review PDF Full Text: DOI
Tomar, Anita; Antal, Swati; Prajapati, Darshana J.; Agarwal, Parveen Mandelbrot fractals using fixed-point technique of sine function. (English) Zbl 1524.28019 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, Spec. Iss., 194-214 (2022). MSC: 28A80 37F10 37F46 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Avila, Artur; Cheraghi, Davoud; Eliad, Alexander Analytic maps of parabolic and elliptic type with trivial centralisers. (English) Zbl 1512.37051 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 4, 885-903 (2022). MSC: 37F44 37E10 37E45 37F10 30G12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mj, Mahan; Mukherjee, Sabyasachi Combination theorems in groups, geometry and dynamics. (English) Zbl 1504.57039 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belk, James; Lanier, Justin; Margalit, Dan; Winarski, Rebecca R. Recognizing topological polynomials by lifting trees. (English) Zbl 1515.37044 Duke Math. J. 171, No. 17, 3401-3480 (2022). Reviewer: Lucas Kaufmann (Orléans) MSC: 37F20 57M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Dougherty, Michael The polyhedral tree complex. (English) Zbl 1498.05055 Combinatorial Theory 2, No. 3, Paper No. 8, 22 p. (2022). MSC: 05C05 05C10 20F65 52B11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bullett, Shaun; Lomonaco, Luna Dynamics of modular matings. (English) Zbl 1509.37046 Adv. Math. 410, Part B, Article ID 108758, 43 p. (2022). MSC: 37F05 37F44 37F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Yan Monotonicity of entropy for unimodal real quadratic rational maps. (English) Zbl 1510.37030 Discrete Contin. Dyn. Syst. 42, No. 11, 5377-5386 (2022). Reviewer: Hasan Akin (Trieste) MSC: 37B40 37E05 37F10 37F20 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Siqueira, Carlos Dynamics of hyperbolic correspondences. (English) Zbl 1502.37054 Ergodic Theory Dyn. Syst. 42, No. 8, 2661-2692 (2022). MSC: 37F05 37F15 37F46 37F44 30C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lazebnik, Kirill; Makarov, Nikolai G.; Mukherjee, Sabyasachi Bers slices in families of univalent maps. (English) Zbl 1492.30018 Math. Z. 300, No. 3, 2771-2808 (2022). Reviewer: Ernesto Martínez (Madrid) MSC: 30C10 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Roesch, Pascale; Yin, Yongcheng Bounded critical Fatou components are Jordan domains for polynomials. (English) Zbl 1492.37053 Sci. China, Math. 65, No. 2, 331-358 (2022). MSC: 37F10 37F46 37F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pardo-Simón, Leticia Criniferous entire maps with absorbing Cantor bouquets. (English) Zbl 1481.37047 Discrete Contin. Dyn. Syst. 42, No. 2, 989-1010 (2022). MSC: 37F10 37F20 30D05 54F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deniz, Aslı A converse landing theorem in parameter spaces. (English) Zbl 1483.37058 J. Math. Anal. Appl. 506, No. 2, Article ID 125662, 17 p. (2022). MSC: 37F44 37F46 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Weixiao; Wang, Yimin Primitive tuning via quasiconformal surgery. (English) Zbl 1487.37061 Isr. J. Math. 245, No. 1, 259-293 (2021). MSC: 37F31 37F20 30C62 30C65 30D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sannami, Atsuro; Yokoyama, Tomoo Topological bifurcation structure of one-parameter families of \(C^1\) unimodal maps. (English) Zbl 1487.37014 Nonlinearity 34, No. 11, 7991-8016 (2021). MSC: 37B10 37B45 37E05 37E15 37G15 54D05 54D15 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Tao; Keen, Linda Dynamics of the meromorphic families \(f_\lambda=\lambda \tan^p z^q\). (English) Zbl 1476.30109 N. Z. J. Math. 52, 469-510 (2021). MSC: 30D05 37F10 37F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Filom, Khashayar Monotonicity of entropy for real quadratic rational maps. (English) Zbl 1484.37051 Nonlinearity 34, No. 9, 6587-6626 (2021). Reviewer: Xu Zhang (Weihai) MSC: 37F10 37B40 37E05 37M25 37F31 37F34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lyubich, Mikhail; Peters, Han Structure of partially hyperbolic Hénon maps. (English) Zbl 1470.32042 J. Eur. Math. Soc. (JEMS) 23, No. 9, 3075-3128 (2021). MSC: 32H50 37D30 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Andrzejak, Ralph G. Chimeras confined by fractal boundaries in the complex plane. (English) Zbl 1462.37048 Chaos 31, No. 5, Article ID 053104, 13 p. (2021). MSC: 37F10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Lee, Seung-Yeop; Lyubich, Mikhail; Makarov, Nikolai G.; Mukherjee, Sabyasachi Schwarz reflections and anti-holomorphic correspondences. (English) Zbl 1469.30017 Adv. Math. 385, Article ID 107766, 88 p. (2021). Reviewer: Dmitri V. Prokhorov (Saratov) MSC: 30C35 37F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fagella, Núria; Keen, Linda Stable components in the parameter plane of transcendental functions of finite type. (English) Zbl 1466.37039 J. Geom. Anal. 31, No. 5, 4816-4855 (2021). MSC: 37F46 37F10 37F20 30D30 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Dujardin, Romain Some problems of arithmetic origin in rational dynamics. (English) Zbl 1465.37001 Peyre, Emmanuel (ed.) et al., Arakelov geometry and diophantine applications. Based on lectures given at the summer school, Grenoble, France, June 12–30, 2017. Cham: Springer. Lect. Notes Math. 2276, 341-374 (2021). MSC: 37-02 37Pxx 11S82 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bartholdi, Laurent; Dudko, Dzmitry Algorithmic aspects of branched coverings. II/V: Sphere bisets and decidability of Thurston equivalence. (English) Zbl 1518.57030 Invent. Math. 223, No. 3, 895-994 (2021). Reviewer: Kevin M. Pilgrim (Bloomington) MSC: 57M12 37D20 37F15 37F20 37D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Zhiheng; Li, Lin; Liu, Lingling Topological classifications for a class of 2-dimensional quadratic mappings and an application to iterative roots. (English) Zbl 1459.37019 Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 2, 25 p. (2021). MSC: 37C15 37F10 39B12 65H04 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiaoguang Hyperbolic components and cubic polynomials. (English) Zbl 1465.37061 Adv. Math. 379, Article ID 107554, 43 p. (2021). Reviewer: Tao Chen (New York) MSC: 37F46 37F15 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bray, Harrison; Davis, Diana; Lindsey, Kathryn; Wu, Chenxi The shape of Thurston’s master teapot. (English) Zbl 1464.37046 Adv. Math. 377, Article ID 107481, 33 p. (2021). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37E15 37F20 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nandi, Santanu Dynamics of the family \(\lambda \tan z^2\). (English) Zbl 1513.37032 Far East J. Dyn. Syst. 32, No. 2, 67-91 (2020). MSC: 37F10 37F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caprio, Danilo A.; Messaoudi, Ali; Valle, Glauco Stochastic adding machines based on Bratteli diagrams. (Odomètres stochastiques associées aux diagrammes de Bratteli.) (English. French summary) Zbl 1469.37003 Ann. Inst. Fourier 70, No. 6, 2543-2581 (2020). MSC: 37A30 37B10 37C30 37F80 60J10 47A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Filom, Khashayar; Pilgrim, Kevin M. On the non-monotonicity of entropy for a class of real quadratic rational maps. (English) Zbl 1476.37066 J. Mod. Dyn. 16, 225-254 (2020). Reviewer: Weiwei Cui (Lund) MSC: 37F10 37F34 37B40 28D20 37E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Levin, Genadi; Shen, Weixiao; van Strien, Sebastian Transversality in the setting of hyperbolic and parabolic maps. (English) Zbl 1465.37059 J. Anal. Math. 141, No. 1, 247-284 (2020). MSC: 37F12 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benini, Anna Miriam; Rempe, Lasse A landing theorem for entire functions with bounded post-singular sets. (English) Zbl 1461.37047 Geom. Funct. Anal. 30, No. 6, 1465-1530 (2020). MSC: 37F20 37F10 37F12 30D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García-Garrido, Víctor J. Unveiling the fractal structure of Julia sets with Lagrangian descriptors. (English) Zbl 1456.32006 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105417, 12 p. (2020). MSC: 32H50 30D05 30F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zeng, Jinsong Criterion for rays landing together. (English) Zbl 1453.37041 Trans. Am. Math. Soc. 373, No. 9, 6479-6502 (2020). Reviewer: Mohammad Sajid (Buraidah) MSC: 37F10 37F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nie, Hongming; Pilgrim, Kevin M. Boundedness of hyperbolic components of Newton maps. (English) Zbl 1452.37054 Isr. J. Math. 238, No. 2, 837-869 (2020). MSC: 37F15 37F10 37F12 37F34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Doyle, John R.; Silverman, Joseph H. Moduli spaces for dynamical systems with portraits. (English) Zbl 1448.37132 Ill. J. Math. 64, No. 3, 375-465 (2020). MSC: 37P45 37P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Riedl, Johannes; Schleicher, Dierk Crossed renormalization of quadratic polynomials. (English) Zbl 1508.37057 Moree, Pieter (ed.) et al., Dynamics: topology and numbers. Conference, Max Planck Institute for Mathematics, Bonn, Germany, July 2–6, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 744, 317-347 (2020). MSC: 37F25 37F20 37F44 37F31 × Cite Format Result Cite Review PDF Full Text: DOI
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Dynamical generation of parameter laminations. (English) Zbl 1447.37053 Moree, Pieter (ed.) et al., Dynamics: topology and numbers. Conference, Max Planck Institute for Mathematics, Bonn, Germany, July 2–6, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 744, 205-229 (2020). MSC: 37F20 37F10 37F50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Ptacek, Ross; Timorin, Vladlen Laminational models for some spaces of polynomials of any degree. (English) Zbl 1508.37008 Memoirs of the American Mathematical Society 1288. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4176-0/pbk; 978-1-4704-6144-7/ebook). v, 105 p. (2020). MSC: 37-02 37F20 37F46 37F10 37F50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benini, Anna Miriam; Fagella, Núria A bound on the number of rationally invisible repelling orbits. (English) Zbl 1452.37053 Adv. Math. 370, Article ID 107214, 26 p. (2020). Reviewer: Tao Chen (New York) MSC: 37F15 37F12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kawahira, Tomoki Zalcman functions and similarity between the Mandelbrot set, Julia sets, and the tricorn. (English) Zbl 1466.37035 Anal. Math. Phys. 10, No. 2, Paper No. 16, 18 p. (2020). Reviewer: Weiwei Cui (Lund) MSC: 37F10 37F46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jaksztas, Ludwik; Zinsmeister, Michel On the derivative of the Hausdorff dimension of the Julia sets for \(z^2 + c, c \in \mathbb{R}\) at parabolic parameters with two petals. (English) Zbl 1437.37056 Adv. Math. 363, Article ID 106981, 59 p. (2020). MSC: 37F35 37F10 37F46 × Cite Format Result Cite Review PDF Full Text: DOI
Floyd, William; Parry, Walter; Pilgrim, Kevin M. Expansion properties for finite subdivision rules. II. (English) Zbl 1436.37058 Conform. Geom. Dyn. 24, 29-50 (2020). MSC: 37F10 52C20 57M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Petersen, Carsten L.; Zakeri, Saeed On combinatorial types of periodic orbits of the map \(x \mapsto kx \pmod{\mathbb{Z}} \). (English) Zbl 1431.37044 Adv. Math. 361, Article ID 106953, 33 p. (2020). MSC: 37F20 37C35 37E10 37E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Atangana, Abdon; Mekkaoui, Toufik Trinition the complex number with two imaginary parts: fractal, chaos and fractional calculus. (English) Zbl 1483.39008 Chaos Solitons Fractals 128, 366-381 (2019). MSC: 39A33 11R52 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Levin, Genadi; Shen, Weixiao; van Strien, Sebastian Transversality for critical relations of families of rational maps: an elementary proof. (English) Zbl 1446.37047 Pacifico, Maria José (ed.) et al., New trends in one-dimensional dynamics. Proceedings of the meeting on new trends in one-dimensional dynamics, IMPA, Rio de Janeiro, Brasil, November 14–17, 2016. In honour of Welington de Melo’s 70th birthday. Cham: Springer. Springer Proc. Math. Stat. 285, 201-220 (2019). MSC: 37F20 37F12 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bullett, Shaun; Lomonaco, Luna; Siqueira, Carlos Correspondences in complex dynamics. (English) Zbl 1451.37068 Pacifico, Maria José (ed.) et al., New trends in one-dimensional dynamics. Proceedings of the meeting on new trends in one-dimensional dynamics, IMPA, Rio de Janeiro, Brasil, November 14–17, 2016. In honour of Welington de Melo’s 70th birthday. Cham: Springer. Springer Proc. Math. Stat. 285, 51-75 (2019). Reviewer: Shengyuan Zhao (Stony Brook) MSC: 37F05 37F10 37F44 37F35 37F31 37F32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shepelevtseva, Anastasia; Timorin, Vladlen Invariant spanning trees for quadratic rational maps. (English) Zbl 1442.37064 Arnold Math. J. 5, No. 4, 435-481 (2019). MSC: 37F20 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Comerford, Mark; Woodard, Todd Orbit portraits in non-autonomous iteration. (English) Zbl 1439.37047 Discrete Contin. Dyn. Syst., Ser. S 12, No. 8, 2253-2277 (2019). MSC: 37F10 37F12 37F20 30D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Yi-Chiuan; Kawahira, Tomoki From Cantor to semi-hyperbolic parameters along external rays. (English) Zbl 1425.37034 Trans. Am. Math. Soc. 372, No. 11, 7959-7992 (2019). MSC: 37F45 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kozlovski, Oleg On the structure of isentropes of real polynomials. (English) Zbl 1428.37040 J. Lond. Math. Soc., II. Ser. 100, No. 1, 159-182 (2019). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37B40 37E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Doyle, John R.; Krieger, Holly; Obus, Andrew; Pries, Rachel; Rubinstein-Salzedo, Simon; West, Lloyd Reduction of dynatomic curves. (English) Zbl 1468.37068 Ergodic Theory Dyn. Syst. 39, No. 10, 2717-2768 (2019). Reviewer: Lingmin Liao (Créteil) MSC: 37P05 37F10 37F20 14E22 11G20 11S15 14H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belk, James; Forrest, Bradley Rearrangement groups of fractals. (English) Zbl 1480.20095 Trans. Am. Math. Soc. 372, No. 7, 4509-4552 (2019). MSC: 20F65 20F38 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Connes, A.; Mcdonald, E.; Sukochev, F.; Zanin, D. Conformal trace theorem for Julia sets of quadratic polynomials. (English) Zbl 1425.37032 Ergodic Theory Dyn. Syst. 39, No. 9, 2481-2506 (2019). Reviewer: Mohammad Sajid (Buraidah) MSC: 37F10 37F45 37F50 × Cite Format Result Cite Review PDF Full Text: DOI
Peters, Han; Raissy, Jasmin Fatou components of elliptic polynomial skew products. (English) Zbl 1421.37022 Ergodic Theory Dyn. Syst. 39, No. 8, 2235-2247 (2019). Reviewer: Feng Rong (Shanghai) MSC: 37F50 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Radu, Remus; Tanase, Raluca A structure theorem for semi-parabolic Hénon maps. (English) Zbl 1444.37040 Adv. Math. 350, 1000-1058 (2019). Reviewer: Tao Chen (New York) MSC: 37F44 37F20 37C20 37F15 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coronel, Daniel; Rivera-Letelier, Juan Sensitive dependence of geometric Gibbs states at positive temperature. (English) Zbl 1433.37035 Commun. Math. Phys. 368, No. 1, 383-425 (2019). MSC: 37D35 37D25 37C40 82B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gauthier, Thomas; Vigny, Gabriel Distribution of postcritically finite polynomials. III: Combinatorial continuity. (English) Zbl 1432.37074 Fundam. Math. 244, No. 1, 17-48 (2019). Reviewer: Linda R. Sons (DeKalb) MSC: 37F20 30D40 37F46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
González, Domingo; Blé, Gamaliel Core entropy of polynomials with a critical point of maximal order. (English) Zbl 1409.37020 Discrete Contin. Dyn. Syst. 39, No. 1, 115-130 (2019). MSC: 37B40 37F10 28D20 37F45 37E25 × Cite Format Result Cite Review PDF Full Text: DOI
Martínez, Luis Manuel; Blé, Gamaliel Hausdorff dimension of Julia sets of quadratic polynomials. (English) Zbl 1433.37051 Fractals 26, No. 3, Article ID 1850020, 14 p. (2018). MSC: 37F50 28A80 37F35 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Yan; Zeng, Jinsong The landing of parameter rays at non-recurrent critical portraits. (English) Zbl 1404.37051 Sci. China, Math. 61, No. 12, 2267-2282 (2018). MSC: 37F45 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Perfect subspaces of quadratic laminations. (English) Zbl 1407.37072 Sci. China, Math. 61, No. 12, 2121-2138 (2018). MSC: 37F45 37F20 37F10 37F50 37F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Ptacek, Ross; Timorin, Vladlen Complementary components to the cubic principal hyperbolic domain. (English) Zbl 1407.37071 Proc. Am. Math. Soc. 146, No. 11, 4649-4660 (2018). MSC: 37F45 37F10 37F20 37F50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hlushchanka, Mikhail; Meyer, Daniel Exponential growth of some iterated monodromy groups. (English) Zbl 1407.37065 Proc. Lond. Math. Soc. (3) 116, No. 6, 1489-1518 (2018). MSC: 37F10 37F25 37F50 20E08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haïssinsky, Peter Some topological characterizations of rational maps and Kleinian groups. (English) Zbl 1490.37067 Przytycki, Feliks (ed.), Dynamical systems. Simons Semester in Banach Center, 2015. Papers based on the courses delivered at the Semester, Będlewo, Poland, September and November, 2015. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 115, 73-97 (2018). MSC: 37F31 37F32 37F20 37F10 20F67 30F40 30L10 57M60 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Gao, Yan; Haïssinsky, Peter; Meyer, Daniel; Zeng, Jinsong Invariant Jordan curves of Sierpiński carpet rational maps. (English) Zbl 1441.37051 Ergodic Theory Dyn. Syst. 38, No. 2, 583-600 (2018). MSC: 37F10 30D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Liu, Xiaohua; Yu, Zhiheng; Zhang, Weinian Conjugation of rational functions to power functions and applications to iteration. (English) Zbl 1390.39073 Result. Math. 73, No. 1, Paper No. 31, 21 p. (2018). MSC: 39B12 37E05 68W30 26A18 × Cite Format Result Cite Review PDF Full Text: DOI
Radu, Remus; Tanase, Raluca Semi-parabolic tools for hyperbolic Hénon maps and continuity of Julia sets in \(\mathbb {C}^{2}\). (English) Zbl 1385.37064 Trans. Am. Math. Soc. 370, No. 6, 3949-3996 (2018). MSC: 37F10 37F45 47H10 30D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dujardin, Romain Non-density of stability for holomorphic mappings on \(\mathbb{P}^k\). (English. French summary) Zbl 1406.37041 J. Éc. Polytech., Math. 4, 813-843 (2017). MSC: 37F45 37F10 37F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gauthier, Thomas; Vigny, Gabriel Distribution of postcritically finite polynomials. II: Speed of convergence. (English) Zbl 1419.37040 J. Mod. Dyn. 11, 57-98 (2017). Reviewer: Jesus Muciño-Raymundo (Morelia) MSC: 37F45 32U40 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bartholdi, Laurent; Dudko, Dzmitry Algorithmic aspects of branched coverings. (English. French summary) Zbl 1422.57004 Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 5, 1219-1296 (2017). MSC: 57M12 57-02 37D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garijo, Antonio; Jarque, Xavier; Villadelprat, Jordi An effective algorithm to compute Mandelbrot sets in parameter planes. (English) Zbl 1377.65166 Numer. Algorithms 76, No. 2, 555-571 (2017). MSC: 65P30 37F45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gonzalez, J. L.; Mireles James, J. D. High-order parameterization of stable/unstable manifolds for long periodic orbits of maps. (English) Zbl 1378.37057 SIAM J. Appl. Dyn. Syst. 16, No. 3, 1748-1795 (2017). MSC: 37D10 37C27 37C75 37M99 × Cite Format Result Cite Review PDF Full Text: DOI
Clark, Trevor; van Strien, Sebastian; Trejo, Sofia Complex bounds for real maps. (English) Zbl 1379.37086 Commun. Math. Phys. 355, No. 3, 1001-1119 (2017). Reviewer: Steve Pederson (Atlanta) MSC: 37F10 37E05 37F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Graczyk, Jacek; Świątek, Grzegorz Fine structure of connectedness loci. (English) Zbl 1381.37054 Math. Ann. 369, No. 1-2, 49-108 (2017). Reviewer: Marius Ghergu (Dublin) MSC: 37F45 37F10 31C40 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Yan; Zeng, Jinsong; Zhao, Suo A characterization of Sierpiński carpet rational maps. (English) Zbl 1364.37102 Discrete Contin. Dyn. Syst. 37, No. 9, 5049-5063 (2017). MSC: 37F10 37F45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mukherjee, Sabyasachi; Nakane, Shizuo; Schleicher, Dierk On multicorns and unicorns. II: Bifurcations in spaces of antiholomorphic polynomials. (English) Zbl 1457.37063 Ergodic Theory Dyn. Syst. 37, No. 3, 859-899 (2017). MSC: 37F46 37F10 37F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martí-Pete, David; Fagella, Núria Dynamic rays of bounded-type transcendental self-maps of the punctured plane. (English) Zbl 1383.37032 Discrete Contin. Dyn. Syst. 37, No. 6, 3123-3160 (2017). Reviewer: Jasmin Raissy (Toulouse) MSC: 37F10 30D05 37F20 37F50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Das, Tushar; Simmons, David; Urbański, Mariusz Dimension rigidity in conformal structures. (English) Zbl 1405.37047 Adv. Math. 308, 1127-1186 (2017). MSC: 37F35 53C23 20H10 28A80 37F50 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv