Coelho, Terence; Kalantari, Bahman How many real attractive fixed points can a polynomial have? (English) Zbl 07432251 Math. Gaz. 103, No. 556, 65-76 (2019). MSC: 97-XX PDFBibTeX XMLCite \textit{T. Coelho} and \textit{B. Kalantari}, Math. Gaz. 103, No. 556, 65--76 (2019; Zbl 07432251) Full Text: DOI arXiv
Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura Dynamical analysis to explain the numerical anomalies in the family of Ermakov-Kalitkin type methods. (English) Zbl 1470.65097 Math. Model. Anal. 24, No. 3, 335-350 (2019). MSC: 65H05 65H10 37F10 PDFBibTeX XMLCite \textit{A. Cordero} et al., Math. Model. Anal. 24, No. 3, 335--350 (2019; Zbl 1470.65097) Full Text: DOI
de Faria, Edson; Hazard, Peter; Tresser, Charles On slow growth and entropy-type invariants. (English) Zbl 1447.37022 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, 165-181 (2019). Reviewer: George Stoica (Saint John) MSC: 37B40 28D20 37A35 37E05 37E10 PDFBibTeX XMLCite \textit{E. de Faria} et al., Springer Proc. Math. Stat. 285, 165--181 (2019; Zbl 1447.37022) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. Bullett} et al., Springer Proc. Math. Stat. 285, 51--75 (2019; Zbl 1451.37068) Full Text: DOI arXiv
Biane, Philippe Laver tables and combinatorics. (English) Zbl 1441.05028 Sémin. Lothar. Comb. 80(2018-2021), Article B80c, 24 p. (2019). MSC: 05A99 03E55 PDFBibTeX XMLCite \textit{P. Biane}, Sémin. Lothar. Comb. 80, Article B80c, 24 p. (2019; Zbl 1441.05028) Full Text: arXiv Link
De Leo, Roberto Conjectures about simple dynamics for some real Newton maps on \(\mathbb{R}^2\). (English) Zbl 1434.34051 Fractals 27, No. 6, Article ID 1950099, 22 p. (2019). MSC: 34D45 37D45 37F50 PDFBibTeX XMLCite \textit{R. De Leo}, Fractals 27, No. 6, Article ID 1950099, 22 p. (2019; Zbl 1434.34051) Full Text: DOI
Pakovich, F. On mutually semiconjugate rational functions. (English) Zbl 1433.37046 Arnold Math. J. 5, No. 2-3, 339-354 (2019). MSC: 37F10 30D05 30G12 PDFBibTeX XMLCite \textit{F. Pakovich}, Arnold Math. J. 5, No. 2--3, 339--354 (2019; Zbl 1433.37046) Full Text: DOI arXiv
Osborne, John W.; Rippon, Philip J.; Stallard, Gwyneth M. The iterated minimum modulus and conjectures of Baker and Eremenko. (English) Zbl 1442.30028 J. Anal. Math. 139, No. 2, 521-558 (2019). Reviewer: Walter Bergweiler (Kiel) MSC: 30D05 37F10 30D20 PDFBibTeX XMLCite \textit{J. W. Osborne} et al., J. Anal. Math. 139, No. 2, 521--558 (2019; Zbl 1442.30028) Full Text: DOI arXiv Link
Fagella, Núria; Jarque, Xavier; Lazebnik, Kirill Univalent wandering domains in the Eremenko-Lyubich class. (English) Zbl 1435.30084 J. Anal. Math. 139, No. 1, 369-395 (2019). MSC: 30D05 30D20 PDFBibTeX XMLCite \textit{N. Fagella} et al., J. Anal. Math. 139, No. 1, 369--395 (2019; Zbl 1435.30084) Full Text: DOI arXiv Link
Guillot, Adolfo; Ramírez, Valente On the multipliers at fixed points of quadratic self-maps of the projective plane with an invariant line. (English) Zbl 1434.37027 Comput. Methods Funct. Theory 19, No. 4, 687-716 (2019). MSC: 37F10 37J70 37C25 PDFBibTeX XMLCite \textit{A. Guillot} and \textit{V. Ramírez}, Comput. Methods Funct. Theory 19, No. 4, 687--716 (2019; Zbl 1434.37027) Full Text: DOI arXiv
Peters, Han; Regts, Guus On a conjecture of Sokal concerning roots of the independence polynomial. (English) Zbl 1433.05164 Mich. Math. J. 68, No. 1, 33-55 (2019). MSC: 05C31 37F10 82B20 PDFBibTeX XMLCite \textit{H. Peters} and \textit{G. Regts}, Mich. Math. J. 68, No. 1, 33--55 (2019; Zbl 1433.05164) Full Text: DOI arXiv Euclid
Geyer, Lukas Linearizability of saturated polynomials. (English) Zbl 1435.37072 Indiana Univ. Math. J. 68, No. 5, 1551-1578 (2019). Reviewer: Mohammad Sajid (Buraidah) MSC: 37F50 37F10 30D05 37E45 PDFBibTeX XMLCite \textit{L. Geyer}, Indiana Univ. Math. J. 68, No. 5, 1551--1578 (2019; Zbl 1435.37072) Full Text: DOI arXiv
Hawkins, Jane Stability of Cantor Julia sets in the space of iterated elliptic functions. (English) Zbl 1430.37050 Hawkins, Jane (ed.) et al., Dynamical systems and random processes, 16th Carolina dynamics symposium, Agnes Scott College, Decatur, Georgia, April 13–15, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 736, 69-95 (2019). MSC: 37F10 37F46 30D05 PDFBibTeX XMLCite \textit{J. Hawkins}, Contemp. Math. 736, 69--95 (2019; Zbl 1430.37050) Full Text: DOI
Duchesne, Bruno; Monod, Nicolas; Wesolek, Phillip Kaleidoscopic groups: permutation groups constructed from dendrite homeomorphisms. (English) Zbl 1477.22015 Fundam. Math. 247, No. 3, 229-274 (2019). MSC: 22F50 20J05 03E15 PDFBibTeX XMLCite \textit{B. Duchesne} et al., Fundam. Math. 247, No. 3, 229--274 (2019; Zbl 1477.22015) Full Text: DOI arXiv
Okuyama, Yûsuke; Stawiska, Małgorzata A generalization of the converse of Brolin’s theorem. (English) Zbl 1428.37045 Ann. Pol. Math. 123, Part 2, 467-472 (2019). MSC: 37F10 31A15 PDFBibTeX XMLCite \textit{Y. Okuyama} and \textit{M. Stawiska}, Ann. Pol. Math. 123, Part 2, 467--472 (2019; Zbl 1428.37045) Full Text: DOI arXiv
Ueno, Kohei Böttcher coordinates at fixed indeterminacy points. (English) Zbl 1433.37048 Ergodic Theory Dyn. Syst. 39, No. 12, 3437-3456 (2019). MSC: 37F10 37C25 PDFBibTeX XMLCite \textit{K. Ueno}, Ergodic Theory Dyn. Syst. 39, No. 12, 3437--3456 (2019; Zbl 1433.37048) Full Text: DOI
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Silverman, Joseph H.; Tucker, Thomas J. Current trends and open problems in arithmetic dynamics. (English) Zbl 1468.37001 Bull. Am. Math. Soc., New Ser. 56, No. 4, 611-685 (2019). Reviewer: Lingmin Liao (Créteil) MSC: 37-02 37Pxx PDFBibTeX XMLCite \textit{R. Benedetto} et al., Bull. Am. Math. Soc., New Ser. 56, No. 4, 611--685 (2019; Zbl 1468.37001) Full Text: DOI arXiv
Alves, Alexandre Miranda Geometric limits of Julia sets and connectedness locus of the family of polynomials \(P_c(z) = z^n + cz ^k\). (English) Zbl 1456.37046 Dyn. Syst. 34, No. 4, 668-684 (2019). MSC: 37F40 37F10 37F46 PDFBibTeX XMLCite \textit{A. M. Alves}, Dyn. Syst. 34, No. 4, 668--684 (2019; Zbl 1456.37046) Full Text: DOI
Jensen, Signe Emalia; Lunde Petersen, Carsten Conformal equivalence of measures and dynamics of orthogonal polynomials. (English) Zbl 1427.37036 J. Difference Equ. Appl. 25, No. 8, 1063-1081 (2019). MSC: 37F10 33C45 42C05 31A15 PDFBibTeX XMLCite \textit{S. E. Jensen} and \textit{C. Lunde Petersen}, J. Difference Equ. Appl. 25, No. 8, 1063--1081 (2019; Zbl 1427.37036) Full Text: DOI arXiv
Dan, Hui; Guo, Kunyu; Huang, Hansong Analytic Toeplitz operators, distinguished varieties and boundary behavior of symbols. (English) Zbl 07123549 Integral Equations Oper. Theory 91, No. 5, Paper No. 48, 15 p. (2019). MSC: 47C15 30B40 PDFBibTeX XMLCite \textit{H. Dan} et al., Integral Equations Oper. Theory 91, No. 5, Paper No. 48, 15 p. (2019; Zbl 07123549) Full Text: DOI
Drach, Kostiantyn; Mikulich, Yauhen; Rückert, Johannes; Schleicher, Dierk A combinatorial classification of postcritically fixed Newton maps. (English) Zbl 1431.37042 Ergodic Theory Dyn. Syst. 39, No. 11, 2983-3014 (2019). MSC: 37F20 37F10 PDFBibTeX XMLCite \textit{K. Drach} et al., Ergodic Theory Dyn. Syst. 39, No. 11, 2983--3014 (2019; Zbl 1431.37042) Full Text: DOI arXiv
Mamayusupov, Khudoyor A characterization of postcritically minimal Newton maps of complex exponential functions. (English) Zbl 1425.37031 Ergodic Theory Dyn. Syst. 39, No. 10, 2855-2880 (2019). MSC: 37F05 37F10 30D05 PDFBibTeX XMLCite \textit{K. Mamayusupov}, Ergodic Theory Dyn. Syst. 39, No. 10, 2855--2880 (2019; Zbl 1425.37031) Full Text: DOI arXiv
Ma, Liangang A continuity result on quadratic matings with respect to parameters of odd denominator rationals. (English) Zbl 1423.37045 Math. Proc. Camb. Philos. Soc. 167, No. 2, 369-388 (2019). MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{L. Ma}, Math. Proc. Camb. Philos. Soc. 167, No. 2, 369--388 (2019; Zbl 1423.37045) Full Text: DOI
Sumi, Hiroki; Watanabe, Takayuki Non-i.i.d. random holomorphic dynamical systems and the probability of tending to infinity. (English) Zbl 1423.37047 Nonlinearity 32, No. 10, 3742-3771 (2019). MSC: 37F10 37H10 PDFBibTeX XMLCite \textit{H. Sumi} and \textit{T. Watanabe}, Nonlinearity 32, No. 10, 3742--3771 (2019; Zbl 1423.37047) Full Text: DOI arXiv
Binyamini, Gal; Novikov, Dmitry Complex cellular structures. (English) Zbl 1448.14056 Ann. Math. (2) 190, No. 1, 145-248 (2019). Reviewer: Tobias Kaiser (Passau) MSC: 14P10 37B40 03C64 30C99 PDFBibTeX XMLCite \textit{G. Binyamini} and \textit{D. Novikov}, Ann. Math. (2) 190, No. 1, 145--248 (2019; Zbl 1448.14056) Full Text: DOI arXiv
Mallet-Paret, John; Nussbaum, Roger D. Intricate structure of the analyticity set for solutions of a class of integral equations. (English) Zbl 1436.47013 J. Dyn. Differ. Equations 31, No. 3, 1045-1077 (2019). Reviewer: Jürgen Appell (Würzburg) MSC: 47G10 45P05 47B07 47A10 34K13 PDFBibTeX XMLCite \textit{J. Mallet-Paret} and \textit{R. D. Nussbaum}, J. Dyn. Differ. Equations 31, No. 3, 1045--1077 (2019; Zbl 1436.47013) Full Text: DOI
Barnard, Roger W.; Dwyer, Jerry; Williams, Erin; Williams, G. Brock Conjugacies of the Newton maps of rational functions. (English) Zbl 1497.37051 Complex Var. Elliptic Equ. 64, No. 10, 1666-1685 (2019). MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{R. W. Barnard} et al., Complex Var. Elliptic Equ. 64, No. 10, 1666--1685 (2019; Zbl 1497.37051) Full Text: DOI
Fletcher, A. Attractor sets and Julia sets in low dimensions. (English) Zbl 1445.30014 Conform. Geom. Dyn. 23, 117-129 (2019). Reviewer: Jürgen Müller (Trier) MSC: 30D05 30C62 30C65 37F05 PDFBibTeX XMLCite \textit{A. Fletcher}, Conform. Geom. Dyn. 23, 117--129 (2019; Zbl 1445.30014) 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 PDFBibTeX XMLCite \textit{A. Connes} et al., Ergodic Theory Dyn. Syst. 39, No. 9, 2481--2506 (2019; Zbl 1425.37032) Full Text: DOI
Evdoridou, Vasiliki; Fagella, Núria; Jarque, Xavier; Sixsmith, David J. Singularities of inner functions associated with hyperbolic maps. (English) Zbl 1421.30036 J. Math. Anal. Appl. 477, No. 1, 536-550 (2019). MSC: 30D05 30D20 37F10 PDFBibTeX XMLCite \textit{V. Evdoridou} et al., J. Math. Anal. Appl. 477, No. 1, 536--550 (2019; Zbl 1421.30036) Full Text: DOI arXiv Link
Inou, Hiroyuki; Nakane, Shizuo An implosion arising from saddle connection in 2D complex dynamics. (English) Zbl 1422.32023 Indiana Univ. Math. J. 68, No. 1, 35-61 (2019). MSC: 32H50 37F10 PDFBibTeX XMLCite \textit{H. Inou} and \textit{S. Nakane}, Indiana Univ. Math. J. 68, No. 1, 35--61 (2019; Zbl 1422.32023) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{H. Peters} and \textit{J. Raissy}, Ergodic Theory Dyn. Syst. 39, No. 8, 2235--2247 (2019; Zbl 1421.37022) Full Text: DOI arXiv
Comdühr, Patrick On the differentiability of hairs for Zorich maps. (English) Zbl 1430.37049 Ergodic Theory Dyn. Syst. 39, No. 7, 1824-1842 (2019). Reviewer: Tao Chen (Long Island City) MSC: 37F10 37F50 30D05 PDFBibTeX XMLCite \textit{P. Comdühr}, Ergodic Theory Dyn. Syst. 39, No. 7, 1824--1842 (2019; Zbl 1430.37049) Full Text: DOI arXiv
Barański, Krzysztof; Fagella, Ńuria; Jarque, Xavier; Karpińska, Bogusława Escaping points in the boundaries of Baker domains. (English) Zbl 1418.30017 J. Anal. Math. 137, No. 2, 679-706 (2019). MSC: 30D05 PDFBibTeX XMLCite \textit{K. Barański} et al., J. Anal. Math. 137, No. 2, 679--706 (2019; Zbl 1418.30017) Full Text: DOI arXiv Link
Fu, Jianxun; Zhang, Yanhua Connectivity of the Julia sets of singularly perturbed rational maps. (English) Zbl 1415.37061 Proc. Indian Acad. Sci., Math. Sci. 129, No. 3, Paper No. 32, 8 p. (2019). MSC: 37F10 37F45 PDFBibTeX XMLCite \textit{J. Fu} and \textit{Y. Zhang}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 3, Paper No. 32, 8 p. (2019; Zbl 1415.37061) Full Text: DOI
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 PDFBibTeX XMLCite \textit{R. Radu} and \textit{R. Tanase}, Adv. Math. 350, 1000--1058 (2019; Zbl 1444.37040) Full Text: DOI arXiv
Lindsey, Kathryn A.; Younsi, Malik Fekete polynomials and shapes of Julia sets. (English) Zbl 1441.30054 Trans. Am. Math. Soc. 371, No. 12, 8489-8511 (2019). Reviewer: Tao Chen (New York) MSC: 30E10 37F10 30C85 PDFBibTeX XMLCite \textit{K. A. Lindsey} and \textit{M. Younsi}, Trans. Am. Math. Soc. 371, No. 12, 8489--8511 (2019; Zbl 1441.30054) Full Text: DOI arXiv
Looper, Nicole A lower bound on the canonical height for polynomials. (English) Zbl 1470.11187 Math. Ann. 373, No. 3-4, 1057-1074 (2019). MSC: 11G50 37P30 37P45 37P15 PDFBibTeX XMLCite \textit{N. Looper}, Math. Ann. 373, No. 3--4, 1057--1074 (2019; Zbl 1470.11187) 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 PDFBibTeX XMLCite \textit{D. Coronel} and \textit{J. Rivera-Letelier}, Commun. Math. Phys. 368, No. 1, 383--425 (2019; Zbl 1433.37035) Full Text: DOI arXiv
Comdühr, Patrick Nowhere differentiable hairs for entire maps. (English) Zbl 1514.30010 Math. Z. 292, No. 1-2, 343-359 (2019). MSC: 30D05 37F10 PDFBibTeX XMLCite \textit{P. Comdühr}, Math. Z. 292, No. 1--2, 343--359 (2019; Zbl 1514.30010) Full Text: DOI arXiv
Hu, Jun; Xiao, Yingqing No Herman rings for regularly ramified rational maps. (English) Zbl 1407.37066 Proc. Am. Math. Soc. 147, No. 4, 1587-1596 (2019). MSC: 37F10 37F45 30F40 37F50 PDFBibTeX XMLCite \textit{J. Hu} and \textit{Y. Xiao}, Proc. Am. Math. Soc. 147, No. 4, 1587--1596 (2019; Zbl 1407.37066) Full Text: DOI
Qiu, Weiyuan; Yang, Fei; Zeng, Jinsong Quasisymmetric geometry of Sierpiński carpet Julia sets. (English) Zbl 1476.37068 Fundam. Math. 244, No. 1, 73-107 (2019). Reviewer: Haifeng Chu (Xi’an) MSC: 37F10 37F50 PDFBibTeX XMLCite \textit{W. Qiu} et al., Fundam. Math. 244, No. 1, 73--107 (2019; Zbl 1476.37068) Full Text: DOI arXiv
Mardešić, P.; Resman, M.; Rolin, J.-P.; Županović, V. The Fatou coordinate for parabolic Dulac germs. (English) Zbl 1410.37021 J. Differ. Equations 266, No. 6, 3479-3513 (2019). MSC: 37C05 34C07 30B10 39A06 34E05 37C10 37C15 PDFBibTeX XMLCite \textit{P. Mardešić} et al., J. Differ. Equations 266, No. 6, 3479--3513 (2019; Zbl 1410.37021) Full Text: DOI arXiv
Fu, Jianxun; Zhang, Gaofei On the accumulation sets of exponential rays. (English) Zbl 1410.37048 Ergodic Theory Dyn. Syst. 39, No. 2, 370-391 (2019). MSC: 37F10 37B45 PDFBibTeX XMLCite \textit{J. Fu} and \textit{G. Zhang}, Ergodic Theory Dyn. Syst. 39, No. 2, 370--391 (2019; Zbl 1410.37048) Full Text: DOI