Qiu, Weiyuan; Roesch, Pascale; Wang, Yueyang Escape components of McMullen maps. (English) Zbl 07778996 Ergodic Theory Dyn. Syst. 43, No. 11, 3745-3775 (2023); erratum ibid. 43, No. 11, 3776 (2023). MSC: 37F44 37F10 37F20 37F15 PDFBibTeX XMLCite \textit{W. Qiu} et al., Ergodic Theory Dyn. Syst. 43, No. 11, 3745--3775 (2023; Zbl 07778996) Full Text: DOI
Jang, Hyegyong; Pak, Sinhyok; Ri, Songil Rings around Sierpinski holes. (English) Zbl 1515.28011 Fractals 30, No. 6, Article ID 2250127, 12 p. (2022). MSC: 28A80 PDFBibTeX XMLCite \textit{H. Jang} et al., Fractals 30, No. 6, Article ID 2250127, 12 p. (2022; Zbl 1515.28011) Full Text: DOI
Devaney, Robert L.; Marotta, Sebastian M. Mandelpinski necklaces in the parameter planes of rational maps. (English) Zbl 1487.37056 Devaney, Robert L. (ed.) et al., Topological dynamics and topological data analysis. IWCTA 2018. Selected papers based on the presentations at the international workshop and conference on topology & applications, Kochi, India, December 9–11, 2018. Singapore: Springer. Springer Proc. Math. Stat. 350, 95-119 (2021). MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{R. L. Devaney} and \textit{S. M. Marotta}, Springer Proc. Math. Stat. 350, 95--119 (2021; Zbl 1487.37056) Full Text: DOI
Furno, Joanna; Koss, Lorelei Relating singularly perturbed rational maps to families of entire maps. (English) Zbl 1470.37070 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, 49-68 (2019). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 37F46 30D05 PDFBibTeX XMLCite \textit{J. Furno} and \textit{L. Koss}, Contemp. Math. 736, 49--68 (2019; Zbl 1470.37070) Full Text: DOI
Garijo, Antonio; Jang, HyeGyong; Marotta, Sebastian M. Generalized rings around the McMullen domain. (English) Zbl 1415.37062 Qual. Theory Dyn. Syst. 18, No. 1, 233-264 (2019). MSC: 37F10 37F45 PDFBibTeX XMLCite \textit{A. Garijo} et al., Qual. Theory Dyn. Syst. 18, No. 1, 233--264 (2019; Zbl 1415.37062) Full Text: DOI Link
Devaney, Robert L. Mandelpinski structures in the parameter planes of rational maps. (English) Zbl 1362.37089 Auslander, Joseph (ed.) et al., Ergodic theory, dynamical systems, and the continuing influence of John C. Oxtoby. Oxtoby centennial conference, Bryn Mawr College, Bryn Mawr, PA, USA, October 30–31, 2010. Williams ergodic theory conference, Williams College, Williamstown, MA, USA, July 27–29, 2012. AMS special session on ergodic theory and symbolic dynamics, Baltimore, MD, USA, January 17–18, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2299-8/pbk; 978-1-4704-3589-9/ebook). Contemporary Mathematics 678, 133-150 (2016). MSC: 37F10 37F45 PDFBibTeX XMLCite \textit{R. L. Devaney}, Contemp. Math. 678, 133--150 (2016; Zbl 1362.37089) Full Text: DOI
Cuzzocreo, Daniel; Devaney, Robert L. Simple Mandelpinski necklaces for \(z^2 + \lambda /z^2\). (English) Zbl 1356.37064 Alsedà i Soler, Lluís (ed.) et al., Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Berlin: Springer (ISBN 978-3-662-52926-3/hbk; 978-3-662-52927-0/ebook). Springer Proceedings in Mathematics & Statistics 180, 63-72 (2016). MSC: 37F45 37F50 37F10 PDFBibTeX XMLCite \textit{D. Cuzzocreo} and \textit{R. L. Devaney}, Springer Proc. Math. Stat. 180, 63--72 (2016; Zbl 1356.37064) Full Text: DOI
Devaney, Robert L. A Cantor-Mandelbrot-Sierpiński tree in the parameter plane for rational maps. (English) Zbl 1301.37030 Trans. Am. Math. Soc. 366, No. 2, 1095-1117 (2014). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 37F45 PDFBibTeX XMLCite \textit{R. L. Devaney}, Trans. Am. Math. Soc. 366, No. 2, 1095--1117 (2014; Zbl 1301.37030) Full Text: DOI Link
Wang, Xiaoguang; Yin, Yongcheng Dynamics, topology and bifurcations of McMullen maps. (English) Zbl 1299.37046 Appl. Math., Ser. B (Engl. Ed.) 28, No. 4, 494-504 (2013). MSC: 37F45 37F10 37F15 PDFBibTeX XMLCite \textit{X. Wang} and \textit{Y. Yin}, Appl. Math., Ser. B (Engl. Ed.) 28, No. 4, 494--504 (2013; Zbl 1299.37046) Full Text: DOI
Devaney, Robert L. Singular perturbations of complex polynomials. (English) Zbl 1277.37074 Bull. Am. Math. Soc., New Ser. 50, No. 3, 391-429 (2013). MSC: 37F10 37F45 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney}, Bull. Am. Math. Soc., New Ser. 50, No. 3, 391--429 (2013; Zbl 1277.37074) Full Text: DOI
Qiu, Wei Yuan; Xie, Lan; Yin, Yong Cheng Fatou components and Julia sets of singularly perturbed rational maps with positive parameter. (English) Zbl 1333.37057 Acta Math. Sin., Engl. Ser. 28, No. 10, 1937-1954 (2012). MSC: 37F50 37F10 37F20 PDFBibTeX XMLCite \textit{W. Y. Qiu} et al., Acta Math. Sin., Engl. Ser. 28, No. 10, 1937--1954 (2012; Zbl 1333.37057) Full Text: DOI
Çilingir, Figen; Devaney, Robert L.; Russell, Elizabeth D. Extending external rays throughout the Julia sets of rational maps. (English) Zbl 1205.37056 J. Fixed Point Theory Appl. 7, No. 1, 223-240 (2010). MSC: 37F10 37F45 PDFBibTeX XMLCite \textit{F. Çilingir} et al., J. Fixed Point Theory Appl. 7, No. 1, 223--240 (2010; Zbl 1205.37056) Full Text: DOI
Xiao, Yingqing; Qiu, Weiyuan The rational maps \(F_\lambda(z)= z^m+ \lambda/z^d\) have no Herman rings. (English) Zbl 1206.37025 Proc. Indian Acad. Sci., Math. Sci. 120, No. 4, 403-407 (2010). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 37F10 30D05 37F50 PDFBibTeX XMLCite \textit{Y. Xiao} and \textit{W. Qiu}, Proc. Indian Acad. Sci., Math. Sci. 120, No. 4, 403--407 (2010; Zbl 1206.37025) Full Text: DOI
Devaney, Robert L.; Marotta, Sebastian M. The McMullen domain: rings around the boundary. (English) Zbl 1109.37038 Trans. Am. Math. Soc. 359, No. 7, 3251-3273 (2007). MSC: 37F10 37F45 37F50 PDFBibTeX XMLCite \textit{R. L. Devaney} and \textit{S. M. Marotta}, Trans. Am. Math. Soc. 359, No. 7, 3251--3273 (2007; Zbl 1109.37038) Full Text: DOI