Sridharan, Shrihari; Tikekar, Sharvari Neetin; Tiwari, Atma Ram Distribution of typical orbits for random dynamics generated by finitely many rational maps. (English) Zbl 07321687 Complex Anal. Oper. Theory 15, No. 2, Paper No. 39, 23 p. (2021). MSC: 30D05 32H50 37F10 PDF BibTeX XML Cite \textit{S. Sridharan} et al., Complex Anal. Oper. Theory 15, No. 2, Paper No. 39, 23 p. (2021; Zbl 07321687) Full Text: DOI
Nicks, Daniel A.; Sixsmith, David J. Which sequences are orbits? (English) Zbl 07319377 Anal. Math. Phys. 11, No. 2, Paper No. 53, 15 p. (2021). MSC: 37F10 30D05 30C62 PDF BibTeX XML Cite \textit{D. A. Nicks} and \textit{D. J. Sixsmith}, Anal. Math. Phys. 11, No. 2, Paper No. 53, 15 p. (2021; Zbl 07319377) Full Text: DOI
Fletcher, Alastair; Stoertz, Daniel Spiders’ webs of doughnuts. (English) Zbl 07318522 Rev. Mat. Iberoam. 37, No. 1, 161-176 (2021). MSC: 37F10 30C65 30D05 PDF BibTeX XML Cite \textit{A. Fletcher} and \textit{D. Stoertz}, Rev. Mat. Iberoam. 37, No. 1, 161--176 (2021; Zbl 07318522) Full Text: DOI
Warren, Luke On slow escaping and non-escaping points of quasimeromorphic mappings. (English) Zbl 07317326 Ergodic Theory Dyn. Syst. 41, No. 4, 1190-1216 (2021). MSC: 37F10 30C65 30D05 PDF BibTeX XML Cite \textit{L. Warren}, Ergodic Theory Dyn. Syst. 41, No. 4, 1190--1216 (2021; Zbl 07317326) Full Text: DOI
Lipham, David S. A note on the topology of escaping endpoints. (English) Zbl 07317324 Ergodic Theory Dyn. Syst. 41, No. 4, 1156-1159 (2021). MSC: 37F20 37F10 30D05 PDF BibTeX XML Cite \textit{D. S. Lipham}, Ergodic Theory Dyn. Syst. 41, No. 4, 1156--1159 (2021; Zbl 07317324) Full Text: DOI
Lodge, Russell; Mukherjee, Sabyasachi Invisible tricorns in real slices of rational maps. (English) Zbl 07314931 Discrete Contin. Dyn. Syst. 41, No. 4, 1755-1797 (2021). MSC: 37F10 37F20 37F46 30D05 PDF BibTeX XML Cite \textit{R. Lodge} and \textit{S. Mukherjee}, Discrete Contin. Dyn. Syst. 41, No. 4, 1755--1797 (2021; Zbl 07314931) Full Text: DOI
Evdoridou, Vasiliki; Martí-Pete, David; Sixsmith, David J. On the connectivity of the escaping set in the punctured plane. (English) Zbl 07311754 Collect. Math. 72, No. 1, 109-127 (2021). MSC: 37F10 37F20 30D05 PDF BibTeX XML Cite \textit{V. Evdoridou} et al., Collect. Math. 72, No. 1, 109--127 (2021; Zbl 07311754) Full Text: DOI
Perry, Sean An upper bound for the number of gravitationally lensed images in a multiplane point-mass ensemble. (English) Zbl 07311020 Anal. Math. Phys. 11, No. 2, Paper No. 52, 14 p. (2021). MSC: 83C10 85A05 85A04 30D05 31A05 PDF BibTeX XML Cite \textit{S. Perry}, Anal. Math. Phys. 11, No. 2, Paper No. 52, 14 p. (2021; Zbl 07311020) Full Text: DOI
Yu, Zhiheng; Li, Lin; Liu, Lingling Topological classifications for a class of 2-dimensional quadratic mappings and an application to iterative roots. (English) Zbl 07302065 Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 2, 25 p. (2021). MSC: 37C15 37F10 39B12 65H04 PDF BibTeX XML Cite \textit{Z. Yu} et al., Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 2, 25 p. (2021; Zbl 07302065) Full Text: DOI
Domínguez, P.; Sienra, Guillermo; Hernández, I. Dynamics of a family of meromorphic functions with two essential singularities which are not omitted values. (English) Zbl 07302064 Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 1, 19 p. (2021). MSC: 37F10 30D05 PDF BibTeX XML Cite \textit{P. Domínguez} et al., Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 1, 19 p. (2021; Zbl 07302064) Full Text: DOI
Pakovich, Fedor Commuting rational functions revisited. (English) Zbl 07282579 Ergodic Theory Dyn. Syst. 41, No. 1, 295-320 (2021). Reviewer: Patricia Dominguez (Puebla) MSC: 30D05 37F10 PDF BibTeX XML Cite \textit{F. Pakovich}, Ergodic Theory Dyn. Syst. 41, No. 1, 295--320 (2021; Zbl 07282579) Full Text: DOI
Bell, Jason P.; Diller, Jeffrey; Jonsson, Mattias A transcendental dynamical degree. (English) Zbl 07335070 Acta Math. 225, No. 2, 193-225 (2020). MSC: 32H50 11J81 14E05 37F10 PDF BibTeX XML Cite \textit{J. P. Bell} et al., Acta Math. 225, No. 2, 193--225 (2020; Zbl 07335070) Full Text: DOI
Pakovich, Fedor On generalized Lattès maps. (English) Zbl 1455.30025 J. Anal. Math. 142, No. 1, 1-39 (2020). MSC: 30D30 30D05 37F10 PDF BibTeX XML Cite \textit{F. Pakovich}, J. Anal. Math. 142, No. 1, 1--39 (2020; Zbl 1455.30025) Full Text: DOI
Benini, Anna Miriam; Fagella, Núria Singular values and non-repelling cycles for entire transcendental maps. (English) Zbl 07293619 Indiana Univ. Math. J. 69, No. 5, 1543-1558 (2020). MSC: 30D05 37F10 30D30 PDF BibTeX XML Cite \textit{A. M. Benini} and \textit{N. Fagella}, Indiana Univ. Math. J. 69, No. 5, 1543--1558 (2020; Zbl 07293619) Full Text: DOI
Tomar, Garima; Mishra, Vishnu Narayan Maximum term of transcendental entire function and spider’s web. (English) Zbl 07289625 Math. Slovaca 70, No. 1, 81-86 (2020). MSC: 30D05 37F10 PDF BibTeX XML Cite \textit{G. Tomar} and \textit{V. N. Mishra}, Math. Slovaca 70, No. 1, 81--86 (2020; Zbl 07289625) Full Text: DOI
Benini, Anna Miriam; Rempe, Lasse A landing theorem for entire functions with bounded post-singular sets. (English) Zbl 07286397 Geom. Funct. Anal. 30, No. 6, 1465-1530 (2020). MSC: 37F20 30D05 37F10 37F12 37F45 37F10 PDF BibTeX XML Cite \textit{A. M. Benini} and \textit{L. Rempe}, Geom. Funct. Anal. 30, No. 6, 1465--1530 (2020; Zbl 07286397) Full Text: DOI
Berteloot, François; Dinh, Tien-Cuong The Mandelbrot set is the shadow of a Julia set. (English) Zbl 07273489 Discrete Contin. Dyn. Syst. 40, No. 12, 6611-6633 (2020). Reviewer: Luka Boc Thaler (Ljubljana) MSC: 37F46 37F10 37F20 32H50 PDF BibTeX XML Cite \textit{F. Berteloot} and \textit{T.-C. Dinh}, Discrete Contin. Dyn. Syst. 40, No. 12, 6611--6633 (2020; Zbl 07273489) Full Text: DOI
Pakovich, Fedor Finiteness theorems for commuting and semiconjugate rational functions. (English) Zbl 1451.30053 Conform. Geom. Dyn. 24, 202-229 (2020). MSC: 30D05 37P05 PDF BibTeX XML Cite \textit{F. Pakovich}, Conform. Geom. Dyn. 24, 202--229 (2020; Zbl 1451.30053) Full Text: DOI
Mayer, Volker; Urbański, Mariusz Thermodynamic formalism and integral means spectrum of logarithmic tracts for transcendental entire functions. (English) Zbl 1455.30019 Trans. Am. Math. Soc. 373, No. 11, 7669-7711 (2020). Reviewer: Olga M. Katkova (Boston) MSC: 30D05 37D35 37F10 37F44 28A80 PDF BibTeX XML Cite \textit{V. Mayer} and \textit{M. Urbański}, Trans. Am. Math. Soc. 373, No. 11, 7669--7711 (2020; Zbl 1455.30019) Full Text: DOI
Waterman, James Identifying logarithmic tracts. (English) Zbl 1455.30020 Ann. Acad. Sci. Fenn., Math. 45, No. 2, 739-749 (2020). Reviewer: Konstantin Malyutin (Kursk) MSC: 30D05 37F10 30D35 PDF BibTeX XML Cite \textit{J. Waterman}, Ann. Acad. Sci. Fenn., Math. 45, No. 2, 739--749 (2020; Zbl 1455.30020) Full Text: DOI
Dupont, Christophe; Rogue, Axel Dimension of ergodic measures and currents on \(\mathbb{CP}(2)\). (English) Zbl 07220311 Ergodic Theory Dyn. Syst. 40, No. 8, 2131-2155 (2020). MSC: 37C45 37F10 37F80 32H50 32U40 PDF BibTeX XML Cite \textit{C. Dupont} and \textit{A. Rogue}, Ergodic Theory Dyn. Syst. 40, No. 8, 2131--2155 (2020; Zbl 07220311) Full Text: DOI
Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M. Generalized Mandelbrot and Julia sets in a family of planar angle-doubling maps. (English) Zbl 1453.37040 Bohner, Martin (ed.) et al., Difference equations and discrete dynamical systems with applications. ICDEA 24, Dresden, Germany, May 21–25, 2018. Proceedings of the 24th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 312, 21-54 (2020). Reviewer: Tao Chen (New York) MSC: 37F10 37F12 30D05 65E05 65E10 PDF BibTeX XML Cite \textit{S. Hittmeyer} et al., Springer Proc. Math. Stat. 312, 21--54 (2020; Zbl 1453.37040) Full Text: DOI
Cantat, Serge; Xie, Junyi On degrees of birational mappings. (English) Zbl 1441.14044 Math. Res. Lett. 27, No. 2, 319-337 (2020). Reviewer: Shengyuan Zhao (Stony Brook) MSC: 14E07 37F10 32H50 PDF BibTeX XML Cite \textit{S. Cantat} and \textit{J. Xie}, Math. Res. Lett. 27, No. 2, 319--337 (2020; Zbl 1441.14044) Full Text: DOI
Rozikov, U. A.; Sattarov, I. A. Dynamical systems of the \(p\)-adic (2, 2)-rational functions with two fixed points. (English) Zbl 1445.37077 Result. Math. 75, No. 3, Paper No. 100, 37 p. (2020). MSC: 37P05 37P20 12J12 11S82 30D05 46S10 PDF BibTeX XML Cite \textit{U. A. Rozikov} and \textit{I. A. Sattarov}, Result. Math. 75, No. 3, Paper No. 100, 37 p. (2020; Zbl 1445.37077) Full Text: DOI
Della Sala, Giuseppe Nowhere-analytic smooth curves with non-trivial analytic isotropy. (English) Zbl 1456.32008 Mathematika 66, No. 3, 649-680 (2020). Reviewer: Tobias Kaiser (Passau) MSC: 32S45 37F10 32H50 32B15 PDF BibTeX XML Cite \textit{G. Della Sala}, Mathematika 66, No. 3, 649--680 (2020; Zbl 1456.32008) Full Text: DOI
Dudko, Artem; Sutherland, Scott On the Lebesgue measure of the Feigenbaum Julia set. (English) Zbl 1454.37045 Invent. Math. 221, No. 1, 167-202 (2020). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 37F25 37F35 28A78 30D05 PDF BibTeX XML Cite \textit{A. Dudko} and \textit{S. Sutherland}, Invent. Math. 221, No. 1, 167--202 (2020; Zbl 1454.37045) Full Text: DOI
Lapan, Sara Interesting examples in \(\mathbb{C}^2\) of maps tangent to the identity without domains of attraction. (English) Zbl 1445.37035 J. Fractal Geom. 7, No. 1, 63-86 (2020). Reviewer: Mohammad Sajid (Buraidah) MSC: 37F80 37F44 37F10 32H50 PDF BibTeX XML Cite \textit{S. Lapan}, J. Fractal Geom. 7, No. 1, 63--86 (2020; Zbl 1445.37035) Full Text: DOI
Martí-Pete, David; Shishikura, Mitsuhiro Wandering domains for entire functions of finite order in the Eremenko-Lyubich class. (English) Zbl 07194967 Proc. Lond. Math. Soc. (3) 120, No. 2, 155-191 (2020). MSC: 37F10 37F12 30D05 30D15 30C62 PDF BibTeX XML Cite \textit{D. Martí-Pete} and \textit{M. Shishikura}, Proc. Lond. Math. Soc. (3) 120, No. 2, 155--191 (2020; Zbl 07194967) Full Text: DOI
Evdoridou; Vasiliki; Martí-Pete, David; Sixsmith, David J. Spiders’ webs in the punctured plane. (English) Zbl 1442.37062 Ann. Acad. Sci. Fenn., Math. 45, No. 1, 511-531 (2020). MSC: 37F10 37F44 30D05 PDF BibTeX XML Cite \textit{Evdoridou} et al., Ann. Acad. Sci. Fenn., Math. 45, No. 1, 511--531 (2020; Zbl 1442.37062) Full Text: DOI
Gdawiec, Krzysztof; Shahid, Abdul Aziz; Nazeer, Waqas Higher order methods of the basic family of iterations via \(S\)-iteration scheme with \(s\)-convexity. (English) Zbl 1436.65060 Mediterr. J. Math. 17, No. 2, Paper No. 43, 19 p. (2020). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H04 30C15 PDF BibTeX XML Cite \textit{K. Gdawiec} et al., Mediterr. J. Math. 17, No. 2, Paper No. 43, 19 p. (2020; Zbl 1436.65060) Full Text: DOI
Barański, Krzysztof; Fagella, Núria; Jarque, Xavier; Karpińska, Bogusława Fatou components and singularities of meromorphic functions. (English) Zbl 1442.30027 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 633-654 (2020). Reviewer: Walter Bergweiler (Kiel) MSC: 30D05 37F10 30D30 PDF BibTeX XML Cite \textit{K. Barański} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 633--654 (2020; Zbl 1442.30027) Full Text: DOI
Bullett, Shaun; Lomonaco, Luna Mating quadratic maps with the modular group II. (English) Zbl 1437.37054 Invent. Math. 220, No. 1, 185-210 (2020). Reviewer: Armand Azonnahin (São Paulo) MSC: 37F05 30D05 37F10 37F34 PDF BibTeX XML Cite \textit{S. Bullett} and \textit{L. Lomonaco}, Invent. Math. 220, No. 1, 185--210 (2020; Zbl 1437.37054) Full Text: DOI
Ji, Zhuchao Non-wandering Fatou components for strongly attracting polynomial skew products. (English) Zbl 07177301 J. Geom. Anal. 30, No. 1, 124-152 (2020). MSC: 37F80 37F10 37F50 32H50 PDF BibTeX XML Cite \textit{Z. Ji}, J. Geom. Anal. 30, No. 1, 124--152 (2020; Zbl 07177301) Full Text: DOI
De Thélin, Henry; Gauthier, Thomas; Vigny, Gabriel The bifurcation measure has maximal entropy. (English) Zbl 1437.37061 Isr. J. Math. 235, No. 1, 213-243 (2020). Reviewer: Feng Rong (Shanghai) MSC: 37F80 37F10 37F46 32U40 32H50 PDF BibTeX XML Cite \textit{H. De Thélin} et al., Isr. J. Math. 235, No. 1, 213--243 (2020; Zbl 1437.37061) Full Text: DOI
Liu, Gang; Ponnusamy, Saminathan Finite pairs of prescribed cycles of König’s and Steffensen’s methods for entire functions. (English) Zbl 1437.37055 J. Comput. Appl. Math. 368, Article ID 112549, 9 p. (2020). Reviewer: Sanjib Kumar Datta (Kalyani) MSC: 37F10 30D05 30D15 30D20 37N30 65F10 PDF BibTeX XML Cite \textit{G. Liu} and \textit{S. Ponnusamy}, J. Comput. Appl. Math. 368, Article ID 112549, 9 p. (2020; Zbl 1437.37055) Full Text: DOI
Dourekas, Yannis Cantor bouquets in spiders’ webs. (English) Zbl 1436.30021 Conform. Geom. Dyn. 24, 1-28 (2020). MSC: 30D05 37F10 PDF BibTeX XML Cite \textit{Y. Dourekas}, Conform. Geom. Dyn. 24, 1--28 (2020; Zbl 1436.30021) Full Text: DOI
Pal, Ratna Further remarks on rigidity of Hénon maps. (English) Zbl 1446.37045 J. Math. Anal. Appl. 484, No. 2, Article ID 123658, 15 p. (2020). Reviewer: Risto Korhonen (Joensuu) MSC: 37F10 30D05 32U35 PDF BibTeX XML Cite \textit{R. Pal}, J. Math. Anal. Appl. 484, No. 2, Article ID 123658, 15 p. (2020; Zbl 1446.37045) Full Text: DOI
Jacques, Matthew; Short, Ian Repeated compositions of Möbius transformations. (English) Zbl 07150921 Ergodic Theory Dyn. Syst. 40, No. 2, 437-452 (2020). MSC: 37F10 35F35 30D05 28A78 PDF BibTeX XML Cite \textit{M. Jacques} and \textit{I. Short}, Ergodic Theory Dyn. Syst. 40, No. 2, 437--452 (2020; Zbl 07150921) Full Text: DOI
Comerford, Mark; Stankewitz, Rich; Sumi, Hiroki Hereditarily non uniformly perfect non-autonomous Julia sets. (English) Zbl 1435.30082 Discrete Contin. Dyn. Syst. 40, No. 1, 33-46 (2020). MSC: 30D05 30C10 PDF BibTeX XML Cite \textit{M. Comerford} et al., Discrete Contin. Dyn. Syst. 40, No. 1, 33--46 (2020; Zbl 1435.30082) Full Text: DOI arXiv
Cui, Weiwei Lebesgue measure of escaping sets of entire functions. (English) Zbl 1433.37045 Ergodic Theory Dyn. Syst. 40, No. 1, 89-116 (2020). Reviewer: Yusuf Avci (Istanbul) MSC: 37F10 30D05 30D20 30D35 PDF BibTeX XML Cite \textit{W. Cui}, Ergodic Theory Dyn. Syst. 40, No. 1, 89--116 (2020; Zbl 1433.37045) Full Text: DOI
Subedi, Bishnu Hari Wandering domains of three transcendental entire functions and their compositions. (English) Zbl 1454.37047 Indian J. Math. 61, No. 3, 329-342 (2019). MSC: 37F10 30D05 30D20 PDF BibTeX XML Cite \textit{B. H. Subedi}, Indian J. Math. 61, No. 3, 329--342 (2019; Zbl 1454.37047)
Peters, Han; Regts, Guus A discrete question, a complex solution. (Dutch) Zbl 1450.37044 Nieuw Arch. Wiskd. (5) 20, No. 4, 245-247 (2019). MSC: 37F20 37F10 30D05 PDF BibTeX XML Cite \textit{H. Peters} and \textit{G. Regts}, Nieuw Arch. Wiskd. (5) 20, No. 4, 245--247 (2019; Zbl 1450.37044)
Yampolsky, Michael; Yang, Jonguk The boundaries of golden-mean Siegel disks in the complex quadratic Hénon family are not smooth. (English) Zbl 1446.37046 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, 301-324 (2019). MSC: 37F10 37F25 30D05 PDF BibTeX XML Cite \textit{M. Yampolsky} and \textit{J. Yang}, Springer Proc. Math. Stat. 285, 301--324 (2019; Zbl 1446.37046) Full Text: DOI
Barnes, Julia A.; Schaubroeck, Lisbeth E. Any way you slice it, it comes up Julia sets. (English) Zbl 1434.37029 Math. Mag. 92, No. 1, 3-16 (2019). MSC: 37F50 37F10 30D05 PDF BibTeX XML Cite \textit{J. A. Barnes} and \textit{L. E. Schaubroeck}, Math. Mag. 92, No. 1, 3--16 (2019; Zbl 1434.37029) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. Comerford} and \textit{T. Woodard}, Discrete Contin. Dyn. Syst., Ser. S 12, No. 8, 2253--2277 (2019; Zbl 1439.37047) 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 PDF BibTeX XML Cite \textit{F. Pakovich}, Arnold Math. J. 5, No. 2--3, 339--354 (2019; Zbl 1433.37046) Full Text: DOI
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 PDF BibTeX XML Cite \textit{J. W. Osborne} et al., J. Anal. Math. 139, No. 2, 521--558 (2019; Zbl 1442.30028) Full Text: DOI
Wang, Qiong; Long, Fang; Wang, Jun Some results on difference Riccati equations and delay differential equations. (Chinese. English summary) Zbl 1449.30049 Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 4, 832-838 (2019). MSC: 30D05 30D35 34M05 39B32 PDF BibTeX XML Cite \textit{Q. Wang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 4, 832--838 (2019; Zbl 1449.30049)
Singh, Anand P.; Tomar, Garima On levels of fast escaping sets and spider’s web of transcendental entire functions. (English) Zbl 1433.30074 N. Z. J. Math. 49, 1-9 (2019). MSC: 30D05 37F10 30D20 PDF BibTeX XML Cite \textit{A. P. Singh} and \textit{G. Tomar}, N. Z. J. Math. 49, 1--9 (2019; Zbl 1433.30074) Full Text: Link
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 PDF BibTeX XML Cite \textit{L. Geyer}, Indiana Univ. Math. J. 68, No. 5, 1551--1578 (2019; Zbl 1435.37072) Full Text: DOI
Rossetti, Rachel L. Isomorphisms of cubic rational maps that preserve an infinite measure. (English) Zbl 1430.37006 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, 187-200 (2019). MSC: 37A40 37F10 26A18 28D20 PDF BibTeX XML Cite \textit{R. L. Rossetti}, Contemp. Math. 736, 187--200 (2019; Zbl 1430.37006) Full Text: DOI
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 PDF BibTeX XML Cite \textit{J. Hawkins}, Contemp. Math. 736, 69--95 (2019; Zbl 1430.37050) Full Text: DOI
Furno, Joanna; Koss, Lorelei Relating singularly perturbed rational maps to families of entire maps. (English) Zbl 07154759 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) (ISBN 978-1-4704-4831-8/pbk; 978-1-4704-5446-3/ebook). Contemporary Mathematics 736, 49-68 (2019). MSC: 37F10 37F46 30D05 PDF BibTeX XML Cite \textit{J. Furno} and \textit{L. Koss}, Contemp. Math. 736, 49--68 (2019; Zbl 07154759) Full Text: DOI
Bianchi, Fabrizio Parabolic implosion for endomorphisms of \(\mathbb C^2\). (English) Zbl 1435.32020 J. Eur. Math. Soc. (JEMS) 21, No. 12, 3709-3737 (2019). MSC: 32H50 37F10 37F99 PDF BibTeX XML Cite \textit{F. Bianchi}, J. Eur. Math. Soc. (JEMS) 21, No. 12, 3709--3737 (2019; Zbl 1435.32020) Full Text: DOI arXiv
Protin, Frédéric Pluripotential theory on the support of closed positive currents and applications to dynamics in \(\mathbb{C}^n\). (English) Zbl 1430.32014 Ann. Mat. Pura Appl. (4) 198, No. 6, 2007-2028 (2019). MSC: 32U15 32E20 32U35 32U40 32U05 32H50 PDF BibTeX XML Cite \textit{F. Protin}, Ann. Mat. Pura Appl. (4) 198, No. 6, 2007--2028 (2019; Zbl 1430.32014) Full Text: DOI
Bishop, Christopher J.; Lazebnik, Kirill Prescribing the postsingular dynamics of meromorphic functions. (English) Zbl 1445.30013 Math. Ann. 375, No. 3-4, 1761-1782 (2019). Reviewer: Si Duc Quang (Hanoi) MSC: 30D05 37F10 30D30 PDF BibTeX XML Cite \textit{C. J. Bishop} and \textit{K. Lazebnik}, Math. Ann. 375, No. 3--4, 1761--1782 (2019; Zbl 1445.30013) Full Text: DOI arXiv
Garijo, Antonio; Jarque, Xavier Global dynamics of the real secant method. (English) Zbl 1428.37099 Nonlinearity 32, No. 11, 4557-4578 (2019). MSC: 37N30 26A18 65H04 PDF BibTeX XML Cite \textit{A. Garijo} and \textit{X. Jarque}, Nonlinearity 32, No. 11, 4557--4578 (2019; Zbl 1428.37099) Full Text: DOI
Cima, Anna; Zafar, Sundus Invariant fibrations for some birational maps of \(\mathbb{C}_2\). (English) Zbl 1428.14022 J. Difference Equ. Appl. 25, No. 8, 1107-1133 (2019). Reviewer: Shengyuan Zhao (Rennes) MSC: 14E07 32H50 14E05 37A25 26C15 28D20 39A23 PDF BibTeX XML Cite \textit{A. Cima} and \textit{S. Zafar}, J. Difference Equ. Appl. 25, No. 8, 1107--1133 (2019; Zbl 1428.14022) Full Text: DOI
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 PDF BibTeX XML Cite \textit{K. Mamayusupov}, Ergodic Theory Dyn. Syst. 39, No. 10, 2855--2880 (2019; Zbl 1425.37031) Full Text: DOI
Bera, Madhusudan; Prasad, M. Guru Prem Dynamics of two parameter family of hyperbolic sine like functions. (English) Zbl 1435.37067 J. Anal. 27, No. 3, 895-912 (2019). MSC: 37F10 37F46 37F50 37C25 30D05 PDF BibTeX XML Cite \textit{M. Bera} and \textit{M. G. P. Prasad}, J. Anal. 27, No. 3, 895--912 (2019; Zbl 1435.37067) Full Text: DOI
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 PDF BibTeX XML Cite \textit{L. Ma}, Math. Proc. Camb. Philos. Soc. 167, No. 2, 369--388 (2019; Zbl 1423.37045) Full Text: DOI
Fletcher, Alastair; Macclure, Douglas On simultaneous linearization. (English) Zbl 1435.37071 Aequationes Math. 93, No. 5, 1009-1037 (2019). MSC: 37F50 37F10 30C65 30D05 30C62 PDF BibTeX XML Cite \textit{A. Fletcher} and \textit{D. Macclure}, Aequationes Math. 93, No. 5, 1009--1037 (2019; Zbl 1435.37071) Full Text: DOI arXiv
Chen, Tao; Keen, Linda Slices of parameter spaces of generalized Nevanlinna functions. (English) Zbl 1436.37057 Discrete Contin. Dyn. Syst. 39, No. 10, 5659-5681 (2019). MSC: 37F10 30D05 37F31 30D30 30D35 PDF BibTeX XML Cite \textit{T. Chen} and \textit{L. Keen}, Discrete Contin. Dyn. Syst. 39, No. 10, 5659--5681 (2019; Zbl 1436.37057) Full Text: DOI
Chakra, Tarun Kumar; Nayak, Tarakanta Iteration of the translated tangent. (English) Zbl 1420.37028 Bull. Malays. Math. Sci. Soc. (2) 42, No. 5, 1993-2008 (2019). MSC: 37F10 30D05 37F50 PDF BibTeX XML Cite \textit{T. K. Chakra} and \textit{T. Nayak}, Bull. Malays. Math. Sci. Soc. (2) 42, No. 5, 1993--2008 (2019; Zbl 1420.37028) Full Text: DOI
Gawlik, Evan S. Zolotarev iterations for the Matrix square Root. (English) Zbl 1420.65057 SIAM J. Matrix Anal. Appl. 40, No. 2, 696-719 (2019). MSC: 65F30 65F60 41A20 49K35 PDF BibTeX XML Cite \textit{E. S. Gawlik}, SIAM J. Matrix Anal. Appl. 40, No. 2, 696--719 (2019; Zbl 1420.65057) Full Text: DOI arXiv
Barnard, Roger W.; Dwyer, Jerry; Williams, Erin; Williams, G. Brock Conjugacies of the Newton maps of rational functions. (English) Zbl 07091991 Complex Var. Elliptic Equ. 64, No. 10, 1666-1685 (2019). MSC: 37F10 30D05 PDF BibTeX XML Cite \textit{R. W. Barnard} et al., Complex Var. Elliptic Equ. 64, No. 10, 1666--1685 (2019; Zbl 07091991) Full Text: DOI
Rippon, P. J.; Stallard, G. M. Eremenko points and the structure of the escaping set. (English) Zbl 1422.30037 Trans. Am. Math. Soc. 372, No. 5, 3083-3111 (2019). MSC: 30D05 37F10 PDF BibTeX XML Cite \textit{P. J. Rippon} and \textit{G. M. Stallard}, Trans. Am. Math. Soc. 372, No. 5, 3083--3111 (2019; Zbl 1422.30037) Full Text: DOI
Biebler, Sébastien Lattès maps and the interior of the bifurcation locus. (English) Zbl 1433.37050 J. Mod. Dyn. 15, 95-130 (2019). Reviewer: Jasna Prezelj (Ljubljana) MSC: 37F46 37F10 32H02 32H50 PDF BibTeX XML Cite \textit{S. Biebler}, J. Mod. Dyn. 15, 95--130 (2019; Zbl 1433.37050) 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 PDF BibTeX XML Cite \textit{V. Evdoridou} et al., J. Math. Anal. Appl. 477, No. 1, 536--550 (2019; Zbl 1421.30036) Full Text: DOI arXiv
Cahn, Jordan; Jones, Rafe; Spear, Jacob Powers in orbits of rational functions: cases of an arithmetic dynamical Mordell-Lang conjecture. (English) Zbl 1428.37100 Can. J. Math. 71, No. 4, 773-817 (2019). MSC: 37P05 11G05 37P15 PDF BibTeX XML Cite \textit{J. Cahn} et al., Can. J. Math. 71, No. 4, 773--817 (2019; Zbl 1428.37100) Full Text: DOI arXiv
Nicks, Daniel A.; Sixsmith, David J. The dynamics of quasiregular maps of punctured space. (English) Zbl 1428.37044 Indiana Univ. Math. J. 68, No. 1, 323-352 (2019). Reviewer: Evgeny Sevost’yanov (Zhitomir) MSC: 37F10 30C65 30D05 PDF BibTeX XML Cite \textit{D. A. Nicks} and \textit{D. J. Sixsmith}, Indiana Univ. Math. J. 68, No. 1, 323--352 (2019; Zbl 1428.37044) Full Text: DOI
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 PDF BibTeX XML Cite \textit{H. Inou} and \textit{S. Nakane}, Indiana Univ. Math. J. 68, No. 1, 35--61 (2019; Zbl 1422.32023) Full Text: DOI
Cheraghi, Davoud Typical orbits of quadratic polynomials with a neutral fixed point: non-Brjuno type. (English. French summary) Zbl 1436.37060 Ann. Sci. Éc. Norm. Supér. (4) 52, No. 1, 59-138 (2019). Reviewer: Jasmin Raissy (Toulouse) MSC: 37F50 37F20 37F10 46T25 37F25 30D05 PDF BibTeX XML Cite \textit{D. Cheraghi}, Ann. Sci. Éc. Norm. Supér. (4) 52, No. 1, 59--138 (2019; Zbl 1436.37060) Full Text: DOI arXiv
Ding, Jie; Wang, Jun; Ye, Zhuan Fast growth entire functions whose escaping set has Hausdorff dimension two. (English) Zbl 1416.37041 Chin. Ann. Math., Ser. B 40, No. 4, 481-494 (2019). MSC: 37F10 37F35 30D05 30D15 PDF BibTeX XML Cite \textit{J. Ding} et al., Chin. Ann. Math., Ser. B 40, No. 4, 481--494 (2019; Zbl 1416.37041) Full Text: DOI
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 PDF BibTeX XML Cite \textit{P. Comdühr}, Ergodic Theory Dyn. Syst. 39, No. 7, 1824--1842 (2019; Zbl 1430.37049) Full Text: DOI
Katagata, Koh Transcendental entire functions whose Julia sets contain any infinite collection of quasiconformal copies of quadratic Julia sets. (English) Zbl 07074664 Discrete Contin. Dyn. Syst. 39, No. 9, 5319-5337 (2019). MSC: 37F10 30D05 37F50 30D20 PDF BibTeX XML Cite \textit{K. Katagata}, Discrete Contin. Dyn. Syst. 39, No. 9, 5319--5337 (2019; Zbl 07074664) Full Text: DOI
Waterman, James Slow escape in tracts. (English) Zbl 1417.37168 Proc. Am. Math. Soc. 147, No. 7, 3087-3101 (2019). Reviewer: Sergei V. Rogosin (Minsk) MSC: 37F10 30D05 30D15 PDF BibTeX XML Cite \textit{J. Waterman}, Proc. Am. Math. Soc. 147, No. 7, 3087--3101 (2019; Zbl 1417.37168) Full Text: DOI arXiv
Ishizaki, Katsuya; Kimura, Naofumi Entire and meromorphic solutions of the functional equation \(f^n+g^n+h^n=1\) and differential equations. (English) Zbl 1419.30019 Comput. Methods Funct. Theory 19, No. 1, 157-172 (2019). MSC: 30D35 30D05 PDF BibTeX XML Cite \textit{K. Ishizaki} and \textit{N. Kimura}, Comput. Methods Funct. Theory 19, No. 1, 157--172 (2019; Zbl 1419.30019) Full Text: DOI
Bayless-Rossetti, Rachel; Hawkins, Jane A special class of infinite measure-preserving quadratic rational maps. (English) Zbl 1420.37027 Dyn. Syst. 34, No. 2, 218-233 (2019). MSC: 37F10 26A18 37A05 30D05 PDF BibTeX XML Cite \textit{R. Bayless-Rossetti} and \textit{J. Hawkins}, Dyn. Syst. 34, No. 2, 218--233 (2019; Zbl 1420.37027) Full Text: DOI
Pal, Ratna Fatou-Julia dichotomy of matrix-valued polynomials. (English) Zbl 1417.32021 J. Math. Anal. Appl. 473, No. 2, 918-933 (2019). MSC: 32H50 37F10 PDF BibTeX XML Cite \textit{R. Pal}, J. Math. Anal. Appl. 473, No. 2, 918--933 (2019; Zbl 1417.32021) Full Text: DOI arXiv
Subedi, Bishnu Hari; Singh, Ajaya Fatou, Julia, and escaping sets in holomorphic (sub)semigroup dynamics. (English) Zbl 1415.37068 Turk. J. Math. 43, No. 2, 930-940 (2019). MSC: 37F50 37F45 37F10 30D05 PDF BibTeX XML Cite \textit{B. H. Subedi} and \textit{A. Singh}, Turk. J. Math. 43, No. 2, 930--940 (2019; Zbl 1415.37068) Full Text: DOI
Comdühr, Patrick Nowhere differentiable hairs for entire maps. (English) Zbl 07052027 Math. Z. 292, No. 1-2, 343-359 (2019). MSC: 30D05 37F10 30C65 PDF BibTeX XML Cite \textit{P. Comdühr}, Math. Z. 292, No. 1--2, 343--359 (2019; Zbl 07052027) Full Text: DOI arXiv
Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han Dynamics of transcendental Hénon maps. (English) Zbl 1436.32068 Math. Ann. 373, No. 1-2, 853-894 (2019). Reviewer: Jasmin Raissy (Toulouse) MSC: 32H50 37F50 37F10 PDF BibTeX XML Cite \textit{L. Arosio} et al., Math. Ann. 373, No. 1--2, 853--894 (2019; Zbl 1436.32068) Full Text: DOI
Bedford, Eric; Kim, Kyounghee Julia sets for polynomial diffeomorphisms of \(\mathbb{C}^2\) are not semianalytic. (English) Zbl 1435.37073 Doc. Math. 24, 163-173 (2019). Reviewer: Alan A. Sola (Stockholm) MSC: 37F80 37F10 32H50 PDF BibTeX XML Cite \textit{E. Bedford} and \textit{K. Kim}, Doc. Math. 24, 163--173 (2019; Zbl 1435.37073) Full Text: DOI
Fletcher, Alastair Quasiregular semigroups with examples. (English) Zbl 1429.30026 Discrete Contin. Dyn. Syst. 39, No. 4, 2157-2172 (2019). Reviewer: Olli Martio (Helsinki) MSC: 30C65 30D05 37F10 PDF BibTeX XML Cite \textit{A. Fletcher}, Discrete Contin. Dyn. Syst. 39, No. 4, 2157--2172 (2019; Zbl 1429.30026) Full Text: DOI
Morosawa, Shunsuke Semigroups whose Julia sets are Cantor targets. (English) Zbl 1408.37079 Complex Var. Elliptic Equ. 64, No. 4, 701-709 (2019). MSC: 37F10 30D05 37F45 PDF BibTeX XML Cite \textit{S. Morosawa}, Complex Var. Elliptic Equ. 64, No. 4, 701--709 (2019; Zbl 1408.37079) Full Text: DOI
Nicks, Daniel A.; Sixsmith, David J. The bungee set in quasiregular dynamics. (English) Zbl 1417.37166 Bull. Lond. Math. Soc. 51, No. 1, 120-128 (2019). Reviewer: Mohammad Sajid (Buraidah) MSC: 37F10 30C65 30D05 30C85 PDF BibTeX XML Cite \textit{D. A. Nicks} and \textit{D. J. Sixsmith}, Bull. Lond. Math. Soc. 51, No. 1, 120--128 (2019; Zbl 1417.37166) Full Text: DOI
Berteloot, François; Dupont, Christophe A distortion theorem for iterated inverse branches of holomorphic endomorphisms of \(\mathbb P^k\). (English) Zbl 1422.37031 J. Lond. Math. Soc., II. Ser. 99, No. 1, 153-172 (2019). Reviewer: Barbara Drinovec Drnovsek (Ljubljana) MSC: 37F45 37F10 32H50 32H02 37F50 37F25 PDF BibTeX XML Cite \textit{F. Berteloot} and \textit{C. Dupont}, J. Lond. Math. Soc., II. Ser. 99, No. 1, 153--172 (2019; Zbl 1422.37031) Full Text: DOI
Furno, Joanna; Hawkins, Jane; Koss, Lorelei Rational families converging to a family of exponential maps. (English) Zbl 07036249 J. Fractal Geom. 6, No. 1, 89-108 (2019). MSC: 37F10 37F45 30D05 PDF BibTeX XML Cite \textit{J. Furno} et al., J. Fractal Geom. 6, No. 1, 89--108 (2019; Zbl 07036249) Full Text: DOI
Subedi, Bishnu Hari; Singh, Ajaya Escaping sets of hyperbolic semigroups. (English) Zbl 1429.37026 Nepali Math. Sci. Rep. 35, No. 1-2, 45-52 (2018). MSC: 37F10 30D05 PDF BibTeX XML Cite \textit{B. H. Subedi} and \textit{A. Singh}, Nepali Math. Sci. Rep. 35, No. 1--2, 45--52 (2018; Zbl 1429.37026)
Kotus, Janina; Montes de Oca Balderas, Marco Simply connected Baker domains of some meromorphic functions. (English) Zbl 1416.37042 Chaos Solitons Fractals 115, 108-126 (2018). MSC: 37F10 37F50 30D05 PDF BibTeX XML Cite \textit{J. Kotus} and \textit{M. Montes de Oca Balderas}, Chaos Solitons Fractals 115, 108--126 (2018; Zbl 1416.37042) Full Text: DOI
Ding, Jie; Yang, Lianzhong Hausdorff measure of the escaping parameter without endpoints is zero for exponential family. (English) Zbl 1410.37047 Taiwanese J. Math. 22, No. 6, 1451-1462 (2018). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 30D05 PDF BibTeX XML Cite \textit{J. Ding} and \textit{L. Yang}, Taiwanese J. Math. 22, No. 6, 1451--1462 (2018; Zbl 1410.37047) Full Text: DOI Euclid
Sattarov, Iskandar A. Ergodicity properties of \(p\)-adic \((2,1)\)-rational dynamical systems with unique fixed point. (English) Zbl 1409.30043 Ibragimov, Zair (ed.) et al., Algebra, complex analysis, and pluripotential theory. 2 USUZCAMP, Urgench, Uzbekistan, August 8–12, 2017. Cham: Springer. Springer Proc. Math. Stat. 264, 217-226 (2018). MSC: 30G06 30D05 PDF BibTeX XML Cite \textit{I. A. Sattarov}, Springer Proc. Math. Stat. 264, 217--226 (2018; Zbl 1409.30043) Full Text: DOI arXiv
Zhang, Song; Yang, Fei Area of the complement of the fast escaping sets of a family of entire functions. (English) Zbl 07000582 Kodai Math. J. 41, No. 3, 531-553 (2018). MSC: 37F10 30D05 30D20 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{F. Yang}, Kodai Math. J. 41, No. 3, 531--553 (2018; Zbl 07000582) Full Text: DOI Euclid arXiv
Chakra, Tarun Kumar; Nayak, Tarakanta; Senapati, Kedarnath Iteration of certain exponential-like meromorphic functions. (English) Zbl 1402.37057 Proc. Indian Acad. Sci., Math. Sci. 128, No. 5, Paper No. 64, 18 p. (2018). MSC: 37F10 30D05 37F50 PDF BibTeX XML Cite \textit{T. K. Chakra} et al., Proc. Indian Acad. Sci., Math. Sci. 128, No. 5, Paper No. 64, 18 p. (2018; Zbl 1402.37057) Full Text: DOI
Lee, Chong Gyu Height inequality for rational maps and bounds for preperiodic points. (English) Zbl 1451.11057 Bull. Korean Math. Soc. 55, No. 5, 1317-1332 (2018). MSC: 11G50 37P30 14G50 32H50 37P05 PDF BibTeX XML Cite \textit{C. G. Lee}, Bull. Korean Math. Soc. 55, No. 5, 1317--1332 (2018; Zbl 1451.11057) Full Text: Link
Hawkins, Jane; Moreno Rocha, Mónica Dynamics and Julia sets of iterated elliptic functions. (English) Zbl 1446.37049 New York J. Math. 24, 947-979 (2018). Reviewer: Guoping Zhan (Hangzhou) MSC: 37F46 37F10 30D05 33E05 PDF BibTeX XML Cite \textit{J. Hawkins} and \textit{M. Moreno Rocha}, New York J. Math. 24, 947--979 (2018; Zbl 1446.37049) Full Text: Link
Daurat, Sandrine Hyberbolic saddle measures and laminarity for holomorphic endomorphisms of \(\mathbb{P}^2{\mathbb{C}}\). (English) Zbl 1414.32019 Indiana Univ. Math. J. 67, No. 3, 1185-1219 (2018). Reviewer: Xu Zhang (Weihai) MSC: 32H50 37F10 PDF BibTeX XML Cite \textit{S. Daurat}, Indiana Univ. Math. J. 67, No. 3, 1185--1219 (2018; Zbl 1414.32019) Full Text: DOI
Evdoridou, Vasiliki; Rempe-Gillen, Lasse Non-escaping endpoints do not explode. (English) Zbl 1411.37046 Bull. Lond. Math. Soc. 50, No. 5, 916-932 (2018). Reviewer: Tao Chen (Long Island City) MSC: 37F10 30D05 37F50 37C45 PDF BibTeX XML Cite \textit{V. Evdoridou} and \textit{L. Rempe-Gillen}, Bull. Lond. Math. Soc. 50, No. 5, 916--932 (2018; Zbl 1411.37046) Full Text: DOI
Barański, Krzysztof; Fagella, Núria; Jarque, Xavier; Karpińska, Bogusława Connectivity of Julia sets of Newton maps: a unified approach. (English) Zbl 1405.30022 Rev. Mat. Iberoam. 34, No. 3, 1211-1228 (2018). Reviewer: Mohammad Sajid (Buraidah) MSC: 30D05 37F10 30D30 PDF BibTeX XML Cite \textit{K. Barański} et al., Rev. Mat. Iberoam. 34, No. 3, 1211--1228 (2018; Zbl 1405.30022) Full Text: DOI arXiv