Gong, Zhimin; Qiu, Weiyuan; Wang, Jian Stability of Julia sets for a quadratic random dynamical system. (English) Zbl 1099.37038 Sci. China, Ser. A 45, No. 11, 1381-1389 (2002). MSC: 37F10 37F50 39B12 37H10 PDFBibTeX XMLCite \textit{Z. Gong} et al., Sci. China, Ser. A 45, No. 11, 1381--1389 (2002; Zbl 1099.37038) Full Text: DOI
Yin, Yongcheng The topology of Julia sets for polynomials. (English) Zbl 1099.37041 Sci. China, Ser. A 45, No. 8, 1020-1024 (2002). MSC: 37F10 37F20 37F50 PDFBibTeX XMLCite \textit{Y. Yin}, Sci. China, Ser. A 45, No. 8, 1020--1024 (2002; Zbl 1099.37041) Full Text: DOI
Jordan, C. R.; Jordan, D. A.; Jordan, Jonathan H. Reversible complex Hénon maps. (English) Zbl 1117.32300 Exp. Math. 11, No. 3, 339-347 (2002). MSC: 32H50 37C25 37F10 37F45 PDFBibTeX XMLCite \textit{C. R. Jordan} et al., Exp. Math. 11, No. 3, 339--347 (2002; Zbl 1117.32300) Full Text: DOI Euclid EuDML
Liaw, Sy-Sang Find the Mandelbrot-like sets in any mapping. (English) Zbl 1072.37507 Fractals 10, No. 2, 137-146 (2002). MSC: 37F45 37F10 PDFBibTeX XMLCite \textit{S.-S. Liaw}, Fractals 10, No. 2, 137--146 (2002; Zbl 1072.37507) Full Text: DOI
Devaney, R. L.; Moreno Rocha, M. Geometry of the antennas in the Mandelbrot set. (English) Zbl 1072.37506 Fractals 10, No. 1, 39-46 (2002). MSC: 37F45 37F10 PDFBibTeX XMLCite \textit{R. L. Devaney} and \textit{M. Moreno Rocha}, Fractals 10, No. 1, 39--46 (2002; Zbl 1072.37506) Full Text: DOI
Serenevy, Amanda Katharine Dynamics of polynomial maps of \(2\times2\) real matrices. (English) Zbl 1086.39500 Topol. Proc. 26(2001-2002), No. 2, 763-778 (2002). MSC: 39B12 37F10 37C70 PDFBibTeX XMLCite \textit{A. K. Serenevy}, Topol. Proc. 26(2001--2002), No. 2, 763--778 (2002; Zbl 1086.39500)
Dragan, V.; Jones, A.; Stacey, P. Repeated radicals and the real Fatou theorem. (English) Zbl 1045.37022 Aust. Math. Soc. Gaz. 29, No. 5, 259-268 (2002). MSC: 37E99 37F10 37F45 26A18 39B12 PDFBibTeX XMLCite \textit{V. Dragan} et al., Aust. Math. Soc. Gaz. 29, No. 5, 259--268 (2002; Zbl 1045.37022)
Domínguez, Patricia; Sienra, Guillermo A study of the dynamics of \(\lambda\sin z\). (English) Zbl 1043.37039 Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 12, 2869-2883 (2002). MSC: 37F10 30D05 37F50 PDFBibTeX XMLCite \textit{P. Domínguez} and \textit{G. Sienra}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 12, 2869--2883 (2002; Zbl 1043.37039) Full Text: DOI
Buchanan, Walter; Gomatam, Jagannathan; Steves, Bonnie Generalized Mandelbrot sets for meromorphic complex and quaternionic maps. (English) Zbl 1043.37038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 8, 1755-1777 (2002). MSC: 37F10 37F45 PDFBibTeX XMLCite \textit{W. Buchanan} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 8, 1755--1777 (2002; Zbl 1043.37038) Full Text: DOI
Bao, Yuansheng; Wang, Xiaoling; Li, Ping The boundaries of the Fatou components and Jordan curves. (Chinese. English summary) Zbl 1067.30049 J. Univ. Sci. Technol. China 32, No. 4, 421-425 (2002). Reviewer: Xiantao Wang (Changsha) MSC: 30D05 37F10 PDFBibTeX XMLCite \textit{Y. Bao} et al., J. Univ. Sci. Technol. China 32, No. 4, 421--425 (2002; Zbl 1067.30049)
Bracci, Filippo; Tovena, Francesca Residual indices of holomorphic maps relative to singular curves of fixed points on surfaces. (English) Zbl 1052.37037 Math. Z. 242, No. 3, 481-490 (2002). Reviewer: Jianyong Qiao (Beijing) MSC: 37F10 37F45 PDFBibTeX XMLCite \textit{F. Bracci} and \textit{F. Tovena}, Math. Z. 242, No. 3, 481--490 (2002; Zbl 1052.37037) Full Text: DOI
Hayek, Nácere The Mandelbrot set. (Spanish) Zbl 1048.37048 Rev. Acad. Canar. Cienc. 14, No. 1-2, 169-204 (2002). Reviewer: Zbigniew Hajto (Kraków) MSC: 37F45 37F10 39B12 37-02 PDFBibTeX XMLCite \textit{N. Hayek}, Rev. Acad. Canar. Cienc. 14, No. 1--2, 169--204 (2002; Zbl 1048.37048)
Maner, Andrew O. Cantor sets of ray composants in local Siegel disk boundaries. (English) Zbl 1049.54032 Illanes, Alejandro (ed.) et al., Continuum theory. Proceedings of the special session held at the fourth joint international meeting of the American Mathematical Society and the Sociedad Matemática Méxicana, Denton, TX, USA, May 19–22, 2002. In honor of Professor Sam B. Nadler, jun.’s 60th birthday. New York, NY: Marcel Dekker (ISBN 0-8247-0875-X/pbk). Lect. Notes Pure Appl. Math. 230, 191-209 (2002). Reviewer: Leonhard R. Rubin (Norman) MSC: 54F15 30C35 PDFBibTeX XMLCite \textit{A. O. Maner}, Lect. Notes Pure Appl. Math. 230, 191--209 (2002; Zbl 1049.54032)
Azarin, V. Limit sets of entire functions as dynamical systems. (English) Zbl 1036.30019 Rev. Bull. Calcutta Math. Soc. 10, No. 1-2, 67-72 (2002). Reviewer: Walter Bergweiler (Kiel) MSC: 30D15 37F10 30D35 PDFBibTeX XMLCite \textit{V. Azarin}, Rev. Bull. Calcutta Math. Soc. 10, No. 1--2, 67--72 (2002; Zbl 1036.30019)
Inou, Hiroyuki Renormalization and rigidity of polynomials of higher degree. (English) Zbl 1054.37024 J. Math. Kyoto Univ. 42, No. 2, 351-392 (2002). Reviewer: Alois Klíč (Praha) MSC: 37F10 37F20 37F50 PDFBibTeX XMLCite \textit{H. Inou}, J. Math. Kyoto Univ. 42, No. 2, 351--392 (2002; Zbl 1054.37024) Full Text: DOI
Baker, I. N. Limit functions in wandering domains of meromorphic functions. (English) Zbl 1019.37027 Ann. Acad. Sci. Fenn., Math. 27, No. 2, 499-505 (2002). Reviewer: Jianyong Qiao (Beijing) MSC: 37F10 30D30 37F50 PDFBibTeX XMLCite \textit{I. N. Baker}, Ann. Acad. Sci. Fenn., Math. 27, No. 2, 499--505 (2002; Zbl 1019.37027) Full Text: EuDML EMIS
Stratmann, B. O.; Urbański, M. Jarník and Julia; a diophantine analysis for parabolic rational maps for geometrically finite Kleinian groups with parabolic elements. (English) Zbl 1019.37028 Math. Scand. 91, No. 1, 27-54 (2002). Reviewer: Nikolaj M.Glazunov (Kyïv) MSC: 37F10 37F30 30F40 37A45 37-02 30D05 PDFBibTeX XMLCite \textit{B. O. Stratmann} and \textit{M. Urbański}, Math. Scand. 91, No. 1, 27--54 (2002; Zbl 1019.37028) Full Text: DOI
Kosi-Ulbl, Irena About the attractive points of the root functions on the Riemannian foliation. (English) Zbl 1017.37019 Math. Pannonica 13, No. 2, 277-285 (2002). Reviewer: Vasile Berinde (Baia Mare) MSC: 37F10 58C30 PDFBibTeX XMLCite \textit{I. Kosi-Ulbl}, Math. Pannonica 13, No. 2, 277--285 (2002; Zbl 1017.37019) Full Text: EuDML
Hua, Xinhou; Wang, Xiaoling Dynamics of permutable transcendental entire functions. (English) Zbl 1031.30013 Acta Math. Vietnam. 27, No. 3, 301-306 (2002). Reviewer: Rainer Brück (Dortmund) MSC: 30D05 37F10 37F50 39B12 PDFBibTeX XMLCite \textit{X. Hua} and \textit{X. Wang}, Acta Math. Vietnam. 27, No. 3, 301--306 (2002; Zbl 1031.30013)
Geum, Young Hee; Kim, Young Ik Intersection of the degree-\(n\) bifurcation set with the real line. (English) Zbl 1132.37314 J. Korea Soc. Math. Educ., Ser. B, Pure Appl. Math. 9, No. 2, 113-118 (2002). MSC: 37F45 37F10 PDFBibTeX XMLCite \textit{Y. H. Geum} and \textit{Y. I. Kim}, J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 9, No. 2, 113--118 (2002; Zbl 1132.37314)
Cao, Chun Lei; Wang, Yue Fei On the simple connectivity of Fatou components. (English) Zbl 1027.37028 Acta Math. Sin., Engl. Ser. 18, No. 4, 625-630 (2002). MSC: 37F50 30D30 37F10 30D05 PDFBibTeX XMLCite \textit{C. L. Cao} and \textit{Y. F. Wang}, Acta Math. Sin., Engl. Ser. 18, No. 4, 625--630 (2002; Zbl 1027.37028) Full Text: DOI
Hill, Richard; Velani, Sanju L. A zero-infinity law for well-approximable points in Julia sets. (English) Zbl 1027.37029 Ergodic Theory Dyn. Syst. 22, No. 6, 1773-1782 (2002). MSC: 37F50 37F35 37F10 PDFBibTeX XMLCite \textit{R. Hill} and \textit{S. L. Velani}, Ergodic Theory Dyn. Syst. 22, No. 6, 1773--1782 (2002; Zbl 1027.37029) Full Text: DOI
Gumenyuk, P. A. The Fatou and Julia sets of multivalued analytical functions. (Russian, English) Zbl 1013.37042 Sib. Mat. Zh. 43, No. 6, 1293-1303 (2002); translation in Sib. Math. J. 43, No. 6, 1047-1054 (2002). Reviewer: V.P.Golubyatnikov (Novosibirsk) MSC: 37F50 30D05 30D45 37F05 PDFBibTeX XMLCite \textit{P. A. Gumenyuk}, Sib. Mat. Zh. 43, No. 6, 1293--1303 (2002; Zbl 1013.37042); translation in Sib. Math. J. 43, No. 6, 1047--1054 (2002) Full Text: EuDML
Kriete, Hartje Holomorphic motions in the parameter space for the relaxed Newton’s method. (English) Zbl 1016.37020 Kodai Math. J. 25, No. 2, 89-107 (2002). MSC: 37F10 37C25 30D05 30D20 65E05 65H05 PDFBibTeX XMLCite \textit{H. Kriete}, Kodai Math. J. 25, No. 2, 89--107 (2002; Zbl 1016.37020) Full Text: DOI Euclid
Balder, E. J. A Fatou lemma for Gelfand integrals by means of Young measure theory. (English) Zbl 1030.28006 Positivity 6, No. 3, 317-329 (2002). Reviewer: Jun Kawabe (Wakasato) MSC: 28B20 28B05 49J45 PDFBibTeX XMLCite \textit{E. J. Balder}, Positivity 6, No. 3, 317--329 (2002; Zbl 1030.28006) Full Text: DOI
Cornet, B.; Medecin, J.-P. Fatou’s lemma for Gelfand integrable mappings. (English) Zbl 1027.28016 Positivity 6, No. 3, 297-315 (2002). Reviewer: Jun Kawabe (Wakasato) MSC: 28B20 28C20 46G10 PDFBibTeX XMLCite \textit{B. Cornet} and \textit{J. P. Medecin}, Positivity 6, No. 3, 297--315 (2002; Zbl 1027.28016) Full Text: DOI
Wang, Yuefei Dynamics of commuting holomorphic maps. (English) Zbl 1011.37025 Chen, Shuxing (ed.) et al., Geometry and nonlinear partial differential equations. Dedicated to Professor Buqing Su in honor of his 100th birthday. Proceedings of the conference, Zhejiang University, Zhejiang, China, July 30-31, 2001. Providence, RI: American Mathematical Society (AMS). AMS/IP Stud. Adv. Math. 29, 175-180 (2002). MSC: 37F10 37F50 30D30 PDFBibTeX XMLCite \textit{Y. Wang}, AMS/IP Stud. Adv. Math. 29, 175--180 (2002; Zbl 1011.37025)
Bergweiler, Walter On proper analytic maps with one critical point. (English) Zbl 1020.37024 Cherry, William (ed.) et al., Value distribution theory and complex dynamics. Proceedings of the special session held at the first joint international meeting of the American Mathematical Society and the Hong Kong Mathematical Society, Hong Kong, China, December 13-16, 2000. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 303, 1-6 (2002). Reviewer: X.Wang (Changsha) MSC: 37F10 30D05 37F45 PDFBibTeX XMLCite \textit{W. Bergweiler}, Contemp. Math. 303, 1--6 (2002; Zbl 1020.37024)
Wolf, Christian Hausdorff and topological dimension for polynomial automorphisms of \(\mathbb C^2\). (English) Zbl 1016.37021 Ergodic Theory Dyn. Syst. 22, No. 4, 1313-1327 (2002). MSC: 37F10 37F35 37C45 37F50 PDFBibTeX XMLCite \textit{C. Wolf}, Ergodic Theory Dyn. Syst. 22, No. 4, 1313--1327 (2002; Zbl 1016.37021) Full Text: DOI arXiv
Yang, Guoxiao Some geometric properties of Julia sets and filled-in Julia sets of polynomials. (English) Zbl 1028.30019 Complex Variables, Theory Appl. 47, No. 5, 383-391 (2002). Reviewer: Xiantao Wang (Changsa) MSC: 30D05 30D45 37F10 PDFBibTeX XMLCite \textit{G. Yang}, Complex Variables, Theory Appl. 47, No. 5, 383--391 (2002; Zbl 1028.30019) Full Text: DOI Backlinks: MO
Inninger, Clemens; Peherstorfer, Franz A new simple class of rational functions whose Julia set is the whole Riemann sphere. (English) Zbl 1060.30034 J. Lond. Math. Soc., II. Ser. 65, No. 2, 453-463 (2002). Reviewer: Jianyong Qiao (Beijing) MSC: 30D05 37F10 PDFBibTeX XMLCite \textit{C. Inninger} and \textit{F. Peherstorfer}, J. Lond. Math. Soc., II. Ser. 65, No. 2, 453--463 (2002; Zbl 1060.30034) Full Text: DOI
Bahsoun, Wael Julia set and ergodicity of meromorphic functions. (English) Zbl 1015.37036 Adv. Stud. Contemp. Math., Pusan 4, No. 2, 103-109 (2002). Reviewer: Jianyong Qiao (Beijing) MSC: 37F10 37F50 37A25 30D30 PDFBibTeX XMLCite \textit{W. Bahsoun}, Adv. Stud. Contemp. Math., Pusan 4, No. 2, 103--109 (2002; Zbl 1015.37036)
Avila, Artur Infinitesimal perturbations of rational maps. (English) Zbl 1073.37051 Nonlinearity 15, No. 3, 695-704 (2002). MSC: 37F10 37F30 37F45 PDFBibTeX XMLCite \textit{A. Avila}, Nonlinearity 15, No. 3, 695--704 (2002; Zbl 1073.37051) Full Text: DOI arXiv
Tan, Lei On pinching deformations of rational maps. (English) Zbl 1041.37022 Ann. Sci. Éc. Norm. Supér. (4) 35, No. 3, 353-370 (2002). Reviewer: Jianyong Qiao (Beijing) MSC: 37F10 37F50 PDFBibTeX XMLCite \textit{L. Tan}, Ann. Sci. Éc. Norm. Supér. (4) 35, No. 3, 353--370 (2002; Zbl 1041.37022) Full Text: DOI Numdam EuDML
Jenkinson, Oliver; Pollicott, Mark Calculating Hausdorff dimension of Julia sets and Kleinian limit sets. (English) Zbl 1002.37023 Am. J. Math. 124, No. 3, 495-545 (2002). Reviewer: Manfred Denker (Göttingen) MSC: 37F35 37F30 37F10 37M99 PDFBibTeX XMLCite \textit{O. Jenkinson} and \textit{M. Pollicott}, Am. J. Math. 124, No. 3, 495--545 (2002; Zbl 1002.37023) Full Text: DOI Link
Smillie, J. Dynamics in two complex dimensions. (English) Zbl 1136.37341 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20–28, 2002. Vol. III: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor (ISBN 7-04-008690-5/3 vol. set). 373-382 (2002). MSC: 37F10 37F45 37F50 37E99 PDFBibTeX XMLCite \textit{J. Smillie}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. III: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 373--382 (2002; Zbl 1136.37341) Full Text: arXiv
Kotus, Janina; Świątek, Grzegorz Diffusion to infinity for periodic orbits in meromorphic dynamics. (English) Zbl 1130.37372 Fundam. Math. 174, No. 3, 263-269 (2002). Reviewer: Jianyong Qiao (Beijing) MSC: 37F10 37F45 30D05 32H50 PDFBibTeX XMLCite \textit{J. Kotus} and \textit{G. Świątek}, Fundam. Math. 174, No. 3, 263--269 (2002; Zbl 1130.37372) Full Text: DOI
Shinohara, Tomoko Dynamics of polynomial maps on \(\mathbb{C}^2\) whose all unbounded orbits converge to one point. (English) Zbl 1018.37026 Kodai Math. J. 25, No. 1, 15-42 (2002). Reviewer: Emil J.Straube (College Station) MSC: 37F10 32H50 37F50 PDFBibTeX XMLCite \textit{T. Shinohara}, Kodai Math. J. 25, No. 1, 15--42 (2002; Zbl 1018.37026) Full Text: DOI
Rivera-Letelier, J. Weak hyperbolicity on periodic orbits for polynomials. (English. Abridged French version) Zbl 1045.37026 C. R., Math., Acad. Sci. Paris 334, No. 12, 1113-1118 (2002). Reviewer: Christophe Dupont (Orsay) MSC: 37F10 37F50 37F15 PDFBibTeX XMLCite \textit{J. Rivera-Letelier}, C. R., Math., Acad. Sci. Paris 334, No. 12, 1113--1118 (2002; Zbl 1045.37026) Full Text: DOI arXiv
Blokh, A.; Levin, G. On dynamics of vertices of locally connected polynomial Julia sets. (English) Zbl 1080.37054 Proc. Am. Math. Soc. 130, No. 11, 3219-3230 (2002). MSC: 37F50 37F10 PDFBibTeX XMLCite \textit{A. Blokh} and \textit{G. Levin}, Proc. Am. Math. Soc. 130, No. 11, 3219--3230 (2002; Zbl 1080.37054) Full Text: DOI
Blokh, Alexander; Misiurewicz, Michał Attractors for graph critical rational maps. (English) Zbl 1009.37031 Trans. Am. Math. Soc. 354, No. 9, 3639-3661 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 37F10 37E25 37F50 PDFBibTeX XMLCite \textit{A. Blokh} and \textit{M. Misiurewicz}, Trans. Am. Math. Soc. 354, No. 9, 3639--3661 (2002; Zbl 1009.37031) Full Text: DOI
Haïssinsky, Peter Pinching of polynomials. (Pincement de polynômes.) (French) Zbl 1146.37347 Comment. Math. Helv. 77, No. 1, 1-23 (2002). MSC: 37F10 30D05 37F30 PDFBibTeX XMLCite \textit{P. Haïssinsky}, Comment. Math. Helv. 77, No. 1, 1--23 (2002; Zbl 1146.37347) Full Text: DOI
Dinh, Tien-Cuong Uniqueness sets for polynomials. (Ensembles d’unicité pour les polynômes.) (French) Zbl 1003.37032 Ergodic Theory Dyn. Syst. 22, No. 1, 171-186 (2002). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 37F10 30C10 31A15 30F50 PDFBibTeX XMLCite \textit{T.-C. Dinh}, Ergodic Theory Dyn. Syst. 22, No. 1, 171--186 (2002; Zbl 1003.37032) Full Text: DOI
Zheng, Jian-Hua On transcendental meromorphic functions which are geometrically finite. (English) Zbl 0999.37029 J. Aust. Math. Soc. 72, No. 1, 93-107 (2002). Reviewer: Jianyong Qiao (Beijing) MSC: 37F10 30D05 37F50 PDFBibTeX XMLCite \textit{J.-H. Zheng}, J. Aust. Math. Soc. 72, No. 1, 93--107 (2002; Zbl 0999.37029) Full Text: DOI
Levin, Genadi On an analytic approach to the Fatou conjecture. (English) Zbl 0984.37046 Fundam. Math. 171, No. 2, 177-196 (2002). MSC: 37F10 30D05 37C30 PDFBibTeX XMLCite \textit{G. Levin}, Fundam. Math. 171, No. 2, 177--196 (2002; Zbl 0984.37046) Full Text: DOI
Buff, Xavier; Epstein, Adam L. A parabolic Pommerenke-Levin-Yoccoz inequality. (English) Zbl 1115.37323 Fundam. Math. 172, No. 3, 249-289 (2002). MSC: 37F10 30D05 37F45 PDFBibTeX XMLCite \textit{X. Buff} and \textit{A. L. Epstein}, Fundam. Math. 172, No. 3, 249--289 (2002; Zbl 1115.37323) Full Text: DOI
Benedetto, Robert L. Components and periodic points in non-Archimedean dynamics. (English) Zbl 1012.37005 Proc. Lond. Math. Soc., III. Ser. 84, No. 1, 231-256 (2002). Reviewer: Robert L.Benedetto (Boston) MSC: 37A99 11S85 37F50 PDFBibTeX XMLCite \textit{R. L. Benedetto}, Proc. Lond. Math. Soc. (3) 84, No. 1, 231--256 (2002; Zbl 1012.37005) Full Text: DOI
Drakopoulos, V. Schröder iteration functions associated with a one-parameter family of biquadratic polynomials. (English) Zbl 0986.37032 Chaos Solitons Fractals 13, No. 2, 233-243 (2002). Reviewer: Kiyoko Nishizawa (Sakado) MSC: 37F10 PDFBibTeX XMLCite \textit{V. Drakopoulos}, Chaos Solitons Fractals 13, No. 2, 233--243 (2002; Zbl 0986.37032) Full Text: DOI
Sun, Yeshun; Yang, Chung-Chun On the connectivity of the Julia set of a finitely generated rational semigroup. (English) Zbl 0988.37058 Proc. Am. Math. Soc. 130, No. 1, 49-52 (2002). Reviewer: J.Qiao (Beijing) MSC: 37F20 37F50 37F10 32H50 30D05 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{C.-C. Yang}, Proc. Am. Math. Soc. 130, No. 1, 49--52 (2002; Zbl 0988.37058) Full Text: DOI