Fu, Rong; Zhou, Ji Small cycles property of some cremer rational maps and polynomials. (English) Zbl 07804891 Chin. Ann. Math., Ser. B 45, No. 1, 123-136 (2024). MSC: 37F50 PDFBibTeX XMLCite \textit{R. Fu} and \textit{J. Zhou}, Chin. Ann. Math., Ser. B 45, No. 1, 123--136 (2024; Zbl 07804891) Full Text: DOI
Cabrera, Carlos; Makienko, Peter On amenability and measure of maximal entropy for semigroups of rational maps. II. (English) Zbl 07749880 Int. J. Algebra Comput. 33, No. 6, 1099-1125 (2023). MSC: 37F44 37F10 43A07 20M10 20M15 PDFBibTeX XMLCite \textit{C. Cabrera} and \textit{P. Makienko}, Int. J. Algebra Comput. 33, No. 6, 1099--1125 (2023; Zbl 07749880) Full Text: DOI arXiv
Bell, Jason P.; Zhong, Xiao \(p\)-adic interpolation of orbits under rational maps. (English) Zbl 1527.37102 Proc. Am. Math. Soc. 151, No. 11, 4661-4672 (2023). MSC: 37P05 37P20 37P55 PDFBibTeX XMLCite \textit{J. P. Bell} and \textit{X. Zhong}, Proc. Am. Math. Soc. 151, No. 11, 4661--4672 (2023; Zbl 1527.37102) Full Text: DOI arXiv
Reppekus, Josias Small divisors in discrete local holomorphic dynamics. (English) Zbl 07703437 Boll. Unione Mat. Ital. 16, No. 2, 173-202 (2023). MSC: 37F80 37F75 37F44 PDFBibTeX XMLCite \textit{J. Reppekus}, Boll. Unione Mat. Ital. 16, No. 2, 173--202 (2023; Zbl 07703437) Full Text: DOI
Fariello, Ricardo; Bourke, Paul; Lopes, João P. Calculating Julia fractal sets in any embedding dimension. (English) Zbl 1521.37044 Fractals 31, No. 1, Article ID 2350018, 7 p. (2023). MSC: 37F10 65E05 PDFBibTeX XMLCite \textit{R. Fariello} et al., Fractals 31, No. 1, Article ID 2350018, 7 p. (2023; Zbl 1521.37044) Full Text: DOI
Koss, Lorelei; Nash, Alex Cantor and connected Julia sets of the parameterized Dixon elliptic functions. (English) Zbl 1526.37056 J. Difference Equ. Appl. 29, No. 3, 297-314 (2023). MSC: 37F10 37F20 37F46 33E05 PDFBibTeX XMLCite \textit{L. Koss} and \textit{A. Nash}, J. Difference Equ. Appl. 29, No. 3, 297--314 (2023; Zbl 1526.37056) Full Text: DOI
Pakovich, Fedor Invariant curves for endomorphisms of \(\mathbb{P}^1 \times \mathbb{P}^1\). (English) Zbl 1521.37107 Math. Ann. 385, No. 1-2, 259-307 (2023). MSC: 37P05 37P30 14E05 PDFBibTeX XMLCite \textit{F. Pakovich}, Math. Ann. 385, No. 1--2, 259--307 (2023; Zbl 1521.37107) Full Text: DOI arXiv
Kumari, Sudesh; Gdawiec, Krzysztof; Nandal, Ashish; Kumar, Naresh; Chugh, Renu An application of viscosity approximation type iterative method in the generation of Mandelbrot and Julia fractals. (English) Zbl 07672921 Aequationes Math. 97, No. 2, 257-278 (2023). MSC: 65E05 37F10 37F46 PDFBibTeX XMLCite \textit{S. Kumari} et al., Aequationes Math. 97, No. 2, 257--278 (2023; Zbl 07672921) Full Text: DOI
Ferreira, Gustavo Rodrigues Symmetries of Julia sets for rational maps. (English) Zbl 1518.37057 Conform. Geom. Dyn. 27, 145-160 (2023). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 37F20 PDFBibTeX XMLCite \textit{G. R. Ferreira}, Conform. Geom. Dyn. 27, 145--160 (2023; Zbl 1518.37057) Full Text: DOI arXiv
Hamada, Nuha; Kharbat, Faten Mandelbrot and Julia sets of complex polynomials involving sine and cosine functions via Picard-Mann orbit. (English) Zbl 1526.37055 Complex Anal. Oper. Theory 17, No. 1, Paper No. 13, 34 p. (2023). MSC: 37F10 37F46 30D05 28A80 65E05 PDFBibTeX XMLCite \textit{N. Hamada} and \textit{F. Kharbat}, Complex Anal. Oper. Theory 17, No. 1, Paper No. 13, 34 p. (2023; Zbl 1526.37055) 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 PDFBibTeX XMLCite \textit{A. Avila} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 4, 885--903 (2022; Zbl 1512.37051) Full Text: DOI arXiv
Perrier, Frédéric; Girault, Frédéric Scaling and fine structure of superstable periodic orbits in the logistic map. (English) Zbl 1507.37055 Chaos Solitons Fractals 165, Part 1, Article ID 112767, 10 p. (2022). MSC: 37E05 39A33 65P20 PDFBibTeX XMLCite \textit{F. Perrier} and \textit{F. Girault}, Chaos Solitons Fractals 165, Part 1, Article ID 112767, 10 p. (2022; Zbl 1507.37055) Full Text: DOI
Kumari, Sudesh; Gdawiec, Krzysztof; Nandal, Ashish; Postolache, Mihai; Chugh, Renu A novel approach to generate Mandelbrot sets, Julia sets and biomorphs via viscosity approximation method. (English) Zbl 1507.28007 Chaos Solitons Fractals 163, Article ID 112540, 21 p. (2022). MSC: 28A80 37F10 47H10 47J26 47J25 PDFBibTeX XMLCite \textit{S. Kumari} et al., Chaos Solitons Fractals 163, Article ID 112540, 21 p. (2022; Zbl 1507.28007) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Mj} and \textit{S. Mukherjee}, in: In the tradition of Thurston II. Geometry and groups. Cham: Springer. 331--383 (2022; Zbl 1504.57039) Full Text: DOI arXiv
Novokshenov, V. Yu. Asymptotic solutions of the discrete Painlevé equation of second type. (English. Russian original) Zbl 1503.39012 Math. Notes 112, No. 4, 598-607 (2022); translation from Mat. Zametki 112, No. 4, 613-624 (2022). Reviewer: Mengkun Zhu (Jinan) MSC: 39A36 39A12 37J70 34M55 PDFBibTeX XMLCite \textit{V. Yu. Novokshenov}, Math. Notes 112, No. 4, 598--607 (2022; Zbl 1503.39012); translation from Mat. Zametki 112, No. 4, 613--624 (2022) Full Text: DOI
Tsantaris, Athanasios Permutable quasiregular maps. (English) Zbl 1503.37060 Math. Proc. Camb. Philos. Soc. 173, No. 1, 105-121 (2022). Reviewer: Weiwei Cui (Lund) MSC: 37F10 30C65 30D05 PDFBibTeX XMLCite \textit{A. Tsantaris}, Math. Proc. Camb. Philos. Soc. 173, No. 1, 105--121 (2022; Zbl 1503.37060) Full Text: DOI arXiv
Özgür, Nihal; Antal, Swati; Tomar, Anita Julia and Mandelbrot sets of transcendental function via Fibonacci-Mann iteration. (English) Zbl 1498.37076 J. Funct. Spaces 2022, Article ID 2592573, 13 p. (2022). MSC: 37F10 37F46 30D30 PDFBibTeX XMLCite \textit{N. Özgür} et al., J. Funct. Spaces 2022, Article ID 2592573, 13 p. (2022; Zbl 1498.37076) Full Text: DOI
Carter, Annie; Lalín, Matilde; Manes, Michelle; Miller, Alison Beth; Mocz, Lucia Two-variable polynomials with dynamical Mahler measure zero. (English) Zbl 1494.11086 Res. Number Theory 8, No. 2, Paper No. 25, 22 p. (2022). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11G50 37P15 37P30 PDFBibTeX XMLCite \textit{A. Carter} et al., Res. Number Theory 8, No. 2, Paper No. 25, 22 p. (2022; Zbl 1494.11086) Full Text: DOI arXiv
Ferreira, Gustavo R. Escaping points of commuting meromorphic functions with finitely many poles. (English) Zbl 1489.37060 Proc. Am. Math. Soc. 150, No. 2, 589-603 (2022). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 30D05 30D30 PDFBibTeX XMLCite \textit{G. R. Ferreira}, Proc. Am. Math. Soc. 150, No. 2, 589--603 (2022; Zbl 1489.37060) Full Text: DOI arXiv
Kumari, Sudesh; Nandal, Ashish; Chugh, Renu Application of fixed point iterative methods to construct fractals and anti-fractals. (English) Zbl 1502.28006 Debnath, Pradip (ed.) et al., Metric fixed point theory. Applications in science, engineering and behavioural sciences. Singapore: Springer. Forum Interdiscip. Math., 269-308 (2021). MSC: 28A80 37F10 47H10 PDFBibTeX XMLCite \textit{S. Kumari} et al., in: Metric fixed point theory. Applications in science, engineering and behavioural sciences. Singapore: Springer. 269--308 (2021; Zbl 1502.28006) Full Text: DOI
Fernandes, Gwladys A survey on the hypertranscendence of the solutions of the Schröder’s, Böttcher’s and Abel’s equations. (English) Zbl 1504.30031 Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 91-125 (2021). MSC: 30D05 30D15 37F10 PDFBibTeX XMLCite \textit{G. Fernandes}, Springer Proc. Math. Stat. 373, 91--125 (2021; Zbl 1504.30031) Full Text: DOI arXiv
Akhmet, Marat; Fen, Mehmet Onur; Alejaily, Ejaily Milad Dynamics with fractals. (English) Zbl 1492.37051 Discontin. Nonlinearity Complex. 10, No. 2, 173-184 (2021). MSC: 37F10 28A80 PDFBibTeX XMLCite \textit{M. Akhmet} et al., Discontin. Nonlinearity Complex. 10, No. 2, 173--184 (2021; Zbl 1492.37051) Full Text: DOI
Voelker, Aaron R.; Blouw, Peter; Choo, Xuan; Dumont, Nicole Sandra-Yaffa; Stewart, Terrence C.; Eliasmith, Chris Simulating and predicting dynamical systems with spatial semantic pointers. (English) Zbl 1522.68486 Neural Comput. 33, No. 8, 2033-2067 (2021). MSC: 68T05 37M05 68T07 PDFBibTeX XMLCite \textit{A. R. Voelker} et al., Neural Comput. 33, No. 8, 2033--2067 (2021; Zbl 1522.68486) Full Text: DOI
Ouyang, Miao; Liu, Shutang Formatting of Julia sets of complex dynamic systems. (English) Zbl 1507.70041 Fractals 29, No. 3, Article ID 2150069, 13 p. (2021). MSC: 70Q05 37F99 28A80 PDFBibTeX XMLCite \textit{M. Ouyang} and \textit{S. Liu}, Fractals 29, No. 3, Article ID 2150069, 13 p. (2021; Zbl 1507.70041) Full Text: DOI
Alves, A. M.; Silva e Silva, B. P.; Salarinoghabi, M. Geometric limit of Julia set of a family of rational functions with odd degree. (English) Zbl 1485.37046 Dyn. Syst. 36, No. 4, 699-713 (2021). Reviewer: Weiwei Cui (Lund) MSC: 37F40 37F20 37F10 PDFBibTeX XMLCite \textit{A. M. Alves} et al., Dyn. Syst. 36, No. 4, 699--713 (2021; Zbl 1485.37046) Full Text: DOI
Andrzejak, Ralph G. Chimeras confined by fractal boundaries in the complex plane. (English) Zbl 1462.37048 Chaos 31, No. 5, 053104, 13 p. (2021). MSC: 37F10 PDFBibTeX XMLCite \textit{R. G. Andrzejak}, Chaos 31, No. 5, 053104, 13 p. (2021; Zbl 1462.37048) Full Text: DOI Link
Rǎdulescu, Anca; Butera, Kelsey; Williams, Brandee Template iterations of quadratic maps and hybrid Mandelbrot sets. (English) Zbl 1462.30049 J. Nonlinear Sci. 31, No. 1, Paper No. 22, 27 p. (2021). MSC: 30D05 37F10 PDFBibTeX XMLCite \textit{A. Rǎdulescu} et al., J. Nonlinear Sci. 31, No. 1, Paper No. 22, 27 p. (2021; Zbl 1462.30049) Full Text: DOI arXiv
Pakovich, Fedor Commuting rational functions revisited. (English) Zbl 1461.30059 Ergodic Theory Dyn. Syst. 41, No. 1, 295-320 (2021). Reviewer: Patricia Dominguez (Puebla) MSC: 30D05 37F10 PDFBibTeX XMLCite \textit{F. Pakovich}, Ergodic Theory Dyn. Syst. 41, No. 1, 295--320 (2021; Zbl 1461.30059) Full Text: DOI arXiv
Cano, Laura; Domínguez, Patricia; Vázquez, Josué Examples of codification of the dynamics of a rational function into a topological tree. (Spanish. English summary) Zbl 1489.37066 Rev. Integr. 38, No. 1, 1-14 (2020). Reviewer: Lorena López Hernanz (Alcalá de Henares; Madrid) MSC: 37F31 37F10 37F20 30D05 32H50 PDFBibTeX XMLCite \textit{L. Cano} et al., Rev. Integr. 38, No. 1, 1--14 (2020; Zbl 1489.37066) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D. A. Caprio} et al., Ann. Inst. Fourier 70, No. 6, 2543--2581 (2020; Zbl 1469.37003) Full Text: DOI arXiv
Tanveer, Muhammad; Nazeer, Waqas; Gdawiec, Krzysztof New escape criteria for complex fractals generation in Jungck-CR orbit. (English) Zbl 1466.37037 Indian J. Pure Appl. Math. 51, No. 4, 1285-1303 (2020). MSC: 37F10 37F46 28A80 PDFBibTeX XMLCite \textit{M. Tanveer} et al., Indian J. Pure Appl. Math. 51, No. 4, 1285--1303 (2020; Zbl 1466.37037) Full Text: DOI
Tomar, Garima; Mishra, Vishnu Narayan Maximum term of transcendental entire function and spider’s web. (English) Zbl 1505.30025 Math. Slovaca 70, No. 1, 81-86 (2020). MSC: 30D05 37F10 PDFBibTeX XMLCite \textit{G. Tomar} and \textit{V. N. Mishra}, Math. Slovaca 70, No. 1, 81--86 (2020; Zbl 1505.30025) 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 PDFBibTeX XMLCite \textit{F. Pakovich}, Conform. Geom. Dyn. 24, 202--229 (2020; Zbl 1451.30053) Full Text: DOI arXiv
Wang, Yupin; Liu, Shutang; Li, Hui Adaptive synchronization of Julia sets generated by Mittag-Leffler function. (English) Zbl 1456.37045 Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105115, 11 p. (2020). MSC: 37F10 37P40 26A33 33E12 PDFBibTeX XMLCite \textit{Y. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105115, 11 p. (2020; Zbl 1456.37045) Full Text: DOI
Ataei Delshad, Parandoosh; Lotfi, Taher On the local convergence of Kung-Traub’s two-point method and its dynamics. (English) Zbl 07250668 Appl. Math., Praha 65, No. 4, 379-406 (2020). MSC: 65F10 65H04 37P40 37Fxx PDFBibTeX XMLCite \textit{P. Ataei Delshad} and \textit{T. Lotfi}, Appl. Math., Praha 65, No. 4, 379--406 (2020; Zbl 07250668) Full Text: DOI
Wang, Da; Zhao, Yang; Zhang, Yi; Liu, Xiyu A short note on the boundedness analysis and control of the spatial fractal set from a kind of chain coupling logistic type map. (English) Zbl 1441.28013 Fractals 28, No. 4, Article ID 2050060, 7 p. (2020). MSC: 28A80 37F10 PDFBibTeX XMLCite \textit{D. Wang} et al., Fractals 28, No. 4, Article ID 2050060, 7 p. (2020; Zbl 1441.28013) Full Text: DOI
De Leo, Roberto Dynamics of Newton maps of quadratic polynomial maps of \(\mathbb{R}^2\) into itself. (English) Zbl 1451.37108 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2030027, 21 p. (2020). MSC: 37M21 37E30 37F10 PDFBibTeX XMLCite \textit{R. De Leo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2030027, 21 p. (2020; Zbl 1451.37108) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. R. Doyle} and \textit{J. H. Silverman}, Ill. J. Math. 64, No. 3, 375--465 (2020; Zbl 1448.37132) Full Text: DOI arXiv Euclid
Caprio, Danilo Antonio Filled Julia set of some class of Hénon-like maps. (English) Zbl 1439.37050 Dyn. Syst. 35, No. 1, 156-183 (2020). MSC: 37F44 37F10 PDFBibTeX XMLCite \textit{D. A. Caprio}, Dyn. Syst. 35, No. 1, 156--183 (2020; Zbl 1439.37050) Full Text: DOI arXiv
Wang, Yupin; Liu, Shutang; Li, Hui; Wang, Da On the spatial Julia set generated by fractional Lotka-Volterra system with noise. (English) Zbl 1483.28011 Chaos Solitons Fractals 128, 129-138 (2019). MSC: 28A80 37F10 34A08 PDFBibTeX XMLCite \textit{Y. Wang} et al., Chaos Solitons Fractals 128, 129--138 (2019; Zbl 1483.28011) Full Text: DOI
Kaboudian, Abouzar; Cherry, Elizabeth M.; Fenton, Flavio H. Large-scale interactive numerical experiments of chaos, solitons and fractals in real time via GPU in a web browser. (English) Zbl 1451.65246 Chaos Solitons Fractals 121, 6-29 (2019). MSC: 65Y10 37-04 37F10 37F46 65Y15 PDFBibTeX XMLCite \textit{A. Kaboudian} et al., Chaos Solitons Fractals 121, 6--29 (2019; Zbl 1451.65246) Full Text: DOI 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
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
Sun, Tianwen; Wang, Da The symmetry in the noise-perturbed Mandelbrot set. (English) Zbl 1425.37035 Symmetry 11, No. 4, Paper No. 577, 10 p. (2019). MSC: 37F45 28A80 PDFBibTeX XMLCite \textit{T. Sun} and \textit{D. Wang}, Symmetry 11, No. 4, Paper No. 577, 10 p. (2019; Zbl 1425.37035) Full Text: DOI
Akhmet, Marat; Fen, Mehmet Onur; Alejaily, Ejaily Milad Generation of fractals as Duffing equation orbits. (English) Zbl 1415.37066 Chaos 29, No. 5, 053113, 4 p. (2019). MSC: 37F50 32H50 37F45 PDFBibTeX XMLCite \textit{M. Akhmet} et al., Chaos 29, No. 5, 053113, 4 p. (2019; Zbl 1415.37066) Full Text: DOI
Pakovich, F. Semiconjugate rational functions: a dynamical approach. (English) Zbl 1442.37063 Arnold Math. J. 4, No. 1, 59-68 (2018). MSC: 37F10 12F10 30D30 37C15 PDFBibTeX XMLCite \textit{F. Pakovich}, Arnold Math. J. 4, No. 1, 59--68 (2018; Zbl 1442.37063) Full Text: DOI arXiv
Sixsmith, David J. Dynamics in the Eremenko-Lyubich class. (English) Zbl 1407.37068 Conform. Geom. Dyn. 22, 185-224 (2018). Reviewer: Tao Chen (Long Island City) MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{D. J. Sixsmith}, Conform. Geom. Dyn. 22, 185--224 (2018; Zbl 1407.37068) Full Text: DOI arXiv
Kaufmann, Lucas Commuting pairs of endomorphisms of \(\mathbb{P}^2\). (English) Zbl 1457.37059 Ergodic Theory Dyn. Syst. 38, No. 3, 1025-1047 (2018). MSC: 37F10 37F80 32A08 32A19 PDFBibTeX XMLCite \textit{L. Kaufmann}, Ergodic Theory Dyn. Syst. 38, No. 3, 1025--1047 (2018; Zbl 1457.37059) Full Text: DOI arXiv
Déserti, Julie; Leguil, Martin Dynamics of a family of polynomial automorphisms of \(\mathbb {C}^3\), a phase transition. (English) Zbl 1398.32021 J. Geom. Anal. 28, No. 1, 190-224 (2018). Reviewer: José Manuel Gutiérrez Jimenez (Logrono) MSC: 32H50 37F10 32M05 PDFBibTeX XMLCite \textit{J. Déserti} and \textit{M. Leguil}, J. Geom. Anal. 28, No. 1, 190--224 (2018; Zbl 1398.32021) Full Text: DOI arXiv
Wang, Da; Liu, Xiyu On the noise-perturbed spatial Julia set generated by Lorenz system. (English) Zbl 1510.37078 Commun. Nonlinear Sci. Numer. Simul. 50, 229-240 (2017). MSC: 37F50 28A80 PDFBibTeX XMLCite \textit{D. Wang} and \textit{X. Liu}, Commun. Nonlinear Sci. Numer. Simul. 50, 229--240 (2017; Zbl 1510.37078) Full Text: DOI
Kisaka, Masashi On topological properties of Fatou sets and Julia sets of transcendental entire functions. (English. Japanese original) Zbl 1411.37049 Sugaku Expo. 30, No. 2, 235-273 (2017); translation from Sūgaku 65, No. 3, 269-298 (2013). Reviewer: Alan A. Sola (Stockholm) MSC: 37F10 37F20 37F50 30D05 30D20 PDFBibTeX XMLCite \textit{M. Kisaka}, Sugaku Expo. 30, No. 2, 235--273 (2017; Zbl 1411.37049); translation from Sūgaku 65, No. 3, 269--298 (2013) Full Text: DOI
Rǎdulescu, Anca; Pignatelli, Ariel Real and complex behavior for networks of coupled logistic maps. (English) Zbl 1372.34060 Nonlinear Dyn. 87, No. 2, 1295-1313 (2017). MSC: 34B45 34C15 34C28 37F45 35F50 PDFBibTeX XMLCite \textit{A. Rǎdulescu} and \textit{A. Pignatelli}, Nonlinear Dyn. 87, No. 2, 1295--1313 (2017; Zbl 1372.34060) Full Text: DOI arXiv
Bridy, Andrew; Garton, Derek Dynamically distinguishing polynomials. (English) Zbl 1391.37064 Res. Math. Sci. 4, Paper No. 13, 17 p. (2017). MSC: 37P05 37P25 11R32 20B35 PDFBibTeX XMLCite \textit{A. Bridy} and \textit{D. Garton}, Res. Math. Sci. 4, Paper No. 13, 17 p. (2017; Zbl 1391.37064) Full Text: DOI arXiv Link
Wang, Da; Liu, Shutang; Liu, Kexin; Zhao, Yang Control and synchronization of Julia sets generated by a class of complex time-delay rational map. (English) Zbl 1474.37132 J. Appl. Anal. Comput. 6, No. 4, 1049-1063 (2016). MSC: 37N35 37F10 PDFBibTeX XMLCite \textit{D. Wang} et al., J. Appl. Anal. Comput. 6, No. 4, 1049--1063 (2016; Zbl 1474.37132) Full Text: DOI
Cordero, Alicia; Franques, Antonio; Torregrosa, Juan R. Chaos and convergence of a family generalizing Homeier’s method with damping parameters. (English) Zbl 1349.37048 Nonlinear Dyn. 85, No. 3, 1939-1954 (2016). MSC: 37F50 37D45 PDFBibTeX XMLCite \textit{A. Cordero} et al., Nonlinear Dyn. 85, No. 3, 1939--1954 (2016; Zbl 1349.37048) Full Text: DOI Link
Pakovich, Fedor On semiconjugate rational functions. (English) Zbl 1370.30014 Geom. Funct. Anal. 26, No. 4, 1217-1243 (2016). Reviewer: Patricia Dominguez (Puebla) MSC: 30D05 39B32 30D30 37F05 PDFBibTeX XMLCite \textit{F. Pakovich}, Geom. Funct. Anal. 26, No. 4, 1217--1243 (2016; Zbl 1370.30014) Full Text: DOI arXiv
Rǎdulescu, Anca; Pignatelli, Ariel Symbolic template iterations of complex quadratic maps. (English) Zbl 1355.37069 Nonlinear Dyn. 84, No. 4, 2025-2042 (2016). MSC: 37F10 37F45 37F50 92B20 PDFBibTeX XMLCite \textit{A. Rǎdulescu} and \textit{A. Pignatelli}, Nonlinear Dyn. 84, No. 4, 2025--2042 (2016; Zbl 1355.37069) Full Text: DOI arXiv
Abate, Marco; Raissy, Jasmin A Julia-Wolff-Carathéodory theorem for infinitesimal generators in the unit ball. (English) Zbl 1343.32004 Trans. Am. Math. Soc. 368, No. 8, 5415-5431 (2016). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 32A40 20M20 37L05 32H50 PDFBibTeX XMLCite \textit{M. Abate} and \textit{J. Raissy}, Trans. Am. Math. Soc. 368, No. 8, 5415--5431 (2016; Zbl 1343.32004) Full Text: DOI arXiv
Benini, Anna Miriam; Rippon, Philip J.; Stallard, Gwyneth M. Permutable entire functions and multiply connected wandering domains. (English) Zbl 1342.37048 Adv. Math. 287, 451-462 (2016). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 30D05 30D20 37F50 PDFBibTeX XMLCite \textit{A. M. Benini} et al., Adv. Math. 287, 451--462 (2016; Zbl 1342.37048) Full Text: DOI arXiv Link
Yang, Cunji; Wang, Shaoming Bounded Fatou components of composite transcendental entire functions with gaps. (English) Zbl 1418.30020 Discrete Dyn. Nat. Soc. 2015, Article ID 149182, 6 p. (2015). MSC: 30D05 37F10 30D15 PDFBibTeX XMLCite \textit{C. Yang} and \textit{S. Wang}, Discrete Dyn. Nat. Soc. 2015, Article ID 149182, 6 p. (2015; Zbl 1418.30020) Full Text: DOI
Yadav, Anju; Rani, Mamta Alternate superior Julia sets. (English) Zbl 1352.37144 Chaos Solitons Fractals 73, 1-9 (2015). MSC: 37F50 37M05 PDFBibTeX XMLCite \textit{A. Yadav} and \textit{M. Rani}, Chaos Solitons Fractals 73, 1--9 (2015; Zbl 1352.37144) Full Text: DOI
Wang, Da; Liu, Shutang Synchronization between the spatial Julia sets of complex Lorenz system and complex Henon map. (English) Zbl 1348.37078 Nonlinear Dyn. 81, No. 3, 1197-1205 (2015). MSC: 37F50 34D06 PDFBibTeX XMLCite \textit{D. Wang} and \textit{S. Liu}, Nonlinear Dyn. 81, No. 3, 1197--1205 (2015; Zbl 1348.37078) Full Text: DOI
Raissy, Jasmin The Julia-Wolff-Carathéodory theorem and its generalizations. (English) Zbl 1326.32010 Bracci, Filippo (ed.) et al., Complex analysis and geometry. KSCV 10. Proceddings of the 10th symposium, Gyeongju, Korea, August 7–11, 2014. Tokyo: Springer (ISBN 978-4-431-55743-2/hbk; 978-4-431-55744-9/ebook). Springer Proceedings in Mathematics & Statistics 144, 281-293 (2015). MSC: 32-02 30-02 32H50 30D05 37F99 PDFBibTeX XMLCite \textit{J. Raissy}, Springer Proc. Math. Stat. 144, 281--293 (2015; Zbl 1326.32010) Full Text: DOI arXiv
Mira, Christian Nonlinear maps: from the Toulouse colloquium (1973) to NOMA’13. (English) Zbl 1321.37003 López-Ruiz, Ricardo (ed.) et al., Nonlinear maps and their applications. Selected contributions from the NOMA 2013 international workshop, Zaragoza, Spain, September 3–4, 2013. Cham: Springer (ISBN 978-3-319-12327-1/hbk; 978-3-319-12328-8/ebook). Springer Proceedings in Mathematics & Statistics 112, 89-113 (2015). MSC: 37-03 01A60 01A61 PDFBibTeX XMLCite \textit{C. Mira}, Springer Proc. Math. Stat. 112, 89--113 (2015; Zbl 1321.37003) Full Text: DOI
Yang, Cun Ji; Li, Yu Hua Bounded Fatou components of transcendental entire functions with order less than 1/2. (English) Zbl 1371.37093 Acta Math. Sin., Engl. Ser. 31, No. 4, 647-658 (2015). MSC: 37F10 30D05 37F50 PDFBibTeX XMLCite \textit{C. J. Yang} and \textit{Y. H. Li}, Acta Math. Sin., Engl. Ser. 31, No. 4, 647--658 (2015; Zbl 1371.37093) Full Text: DOI
Barański, Krzysztof; Fagella, Núria; Jarque, Xavier; Karpińska, Bogusława On the connectivity of the Julia sets of meromorphic functions. (English) Zbl 1316.30027 Invent. Math. 198, No. 3, 591-636 (2014). Reviewer: Risto Korhonen (Joensuu) MSC: 30D05 37F10 30D30 PDFBibTeX XMLCite \textit{K. Barański} et al., Invent. Math. 198, No. 3, 591--636 (2014; Zbl 1316.30027) Full Text: DOI arXiv Link
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Levy, Alon Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps. (English) Zbl 1323.37058 Duke Math. J. 163, No. 13, 2325-2356 (2014). Reviewer: Lingmin Liao (Créteil) MSC: 37P20 37P45 37F10 PDFBibTeX XMLCite \textit{R. Benedetto} et al., Duke Math. J. 163, No. 13, 2325--2356 (2014; Zbl 1323.37058) Full Text: DOI arXiv Euclid
Bergweiler, Walter; Nicks, Daniel A. Foundations for an iteration theory of entire quasiregular maps. (English) Zbl 1364.37098 Isr. J. Math. 201, Part A, 147-184 (2014). Reviewer: Angel Cano (Cuernavaca) MSC: 37F10 37F50 30C65 28A80 30D05 PDFBibTeX XMLCite \textit{W. Bergweiler} and \textit{D. A. Nicks}, Isr. J. Math. 201, Part A, 147--184 (2014; Zbl 1364.37098) Full Text: DOI arXiv
Danca, Marius-F.; Bourke, Paul; Romera, Miguel Graphical exploration of the connectivity sets of alternated Julia sets. \(\mathcal M\), the set of disconnected alternated Julia sets. (English) Zbl 1281.37022 Nonlinear Dyn. 73, No. 1-2, 1155-1163 (2013). MSC: 37F50 05C40 68U05 PDFBibTeX XMLCite \textit{M.-F. Danca} et al., Nonlinear Dyn. 73, No. 1--2, 1155--1163 (2013; Zbl 1281.37022) Full Text: DOI arXiv
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
Fan, Shi Lei; Wang, Yue Fei Dynamics of commuting rational maps on Berkovich projective space over \(\mathbb C_p\). (English) Zbl 1347.37161 Acta Math. Sin., Engl. Ser. 29, No. 8, 1459-1478 (2013). MSC: 37P50 37P40 37P05 PDFBibTeX XMLCite \textit{S. L. Fan} and \textit{Y. F. Wang}, Acta Math. Sin., Engl. Ser. 29, No. 8, 1459--1478 (2013; Zbl 1347.37161) Full Text: DOI
Mimar, Arman On the preperiodic points of an endomorphism of \(\mathbb P^1\times\mathbb P^1\) which lie on a curve. (English) Zbl 1300.14029 Trans. Am. Math. Soc. 365, No. 1, 161-193 (2013). Reviewer: Yu Yasufuku (Tokyo) MSC: 14G40 37P30 37P05 37F10 PDFBibTeX XMLCite \textit{A. Mimar}, Trans. Am. Math. Soc. 365, No. 1, 161--193 (2013; Zbl 1300.14029) Full Text: DOI
Chéritat, Arnaud Book review of: M. Braverman and M. Yampolsky, Computability of Julia sets. (English) Zbl 1276.00010 Found. Comput. Math. 12, No. 1, 123-137 (2012). MSC: 00A17 37F50 37-02 03D15 03D28 30D05 37F10 65E05 PDFBibTeX XMLCite \textit{A. Chéritat}, Found. Comput. Math. 12, No. 1, 123--137 (2012; Zbl 1276.00010) Full Text: DOI
Kelsey, Gregory A. Mapping schemes realizable by obstructed topological polynomials. (English) Zbl 1278.37043 Conform. Geom. Dyn. 16, 44-80 (2012). Reviewer: Anthony O’Farrell (Maynooth) MSC: 37F20 20F65 20E08 37B10 PDFBibTeX XMLCite \textit{G. A. Kelsey}, Conform. Geom. Dyn. 16, 44--80 (2012; Zbl 1278.37043) Full Text: DOI arXiv
Zhang, Yongping; Sun, Weihua Synchronization and coupling of Mandelbrot sets. (English) Zbl 1279.37036 Nonlinear Dyn. 64, No. 1-2, 59-63 (2011). MSC: 37F45 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{W. Sun}, Nonlinear Dyn. 64, No. 1--2, 59--63 (2011; Zbl 1279.37036) Full Text: DOI
Ye, Hexi The Schwarzian derivative and polynomial iteration. (English) Zbl 1252.37037 Conform. Geom. Dyn. 15, 113-132 (2011). MSC: 37F10 37F40 53A30 PDFBibTeX XMLCite \textit{H. Ye}, Conform. Geom. Dyn. 15, 113--132 (2011; Zbl 1252.37037) Full Text: DOI arXiv
Zhai, Yu A generalized version of Branner-Hubbard conjecture for rational functions. (English) Zbl 1213.37074 Acta Math. Sin., Engl. Ser. 26, No. 11, 2199-2208 (2010). Reviewer: George Stoica (Saint John) MSC: 37F10 37F20 PDFBibTeX XMLCite \textit{Y. Zhai}, Acta Math. Sin., Engl. Ser. 26, No. 11, 2199--2208 (2010; Zbl 1213.37074) Full Text: DOI
Bergweiler, Walter Iteration of quasiregular mappings. (English) Zbl 1243.30057 Comput. Methods Funct. Theory 10, No. 2, 455-481 (2010). MSC: 30D05 30C62 30C65 37F10 PDFBibTeX XMLCite \textit{W. Bergweiler}, Comput. Methods Funct. Theory 10, No. 2, 455--481 (2010; Zbl 1243.30057) 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
Qiu, WeiYuan; Yin, YongCheng Proof of the Branner-Hubbard conjecture on Cantor Julia sets. (English) Zbl 1187.37070 Sci. China, Ser. A 52, No. 1, 45-65 (2009). Reviewer: Marco Abate (Pisa) MSC: 37F50 37F20 30D05 37F10 PDFBibTeX XMLCite \textit{W. Qiu} and \textit{Y. Yin}, Sci. China, Ser. A 52, No. 1, 45--65 (2009; Zbl 1187.37070) Full Text: DOI arXiv
Lorenz, Edward N. Compound windows of the Hénon-map. (English) Zbl 1155.37030 Physica D 237, No. 13, 1689-1704 (2008). Reviewer: Michael L. Blank (Moskva) MSC: 37E99 37C99 37G99 PDFBibTeX XMLCite \textit{E. N. Lorenz}, Physica D 237, No. 13, 1689--1704 (2008; Zbl 1155.37030) Full Text: DOI
Çilingir, Figen Mystery of the rational iteration arising from relaxed Newton’s method. (English) Zbl 1139.37031 Chaos Solitons Fractals 32, No. 2, 471-479 (2007). MSC: 37F10 30D05 37F50 65H05 28A80 PDFBibTeX XMLCite \textit{F. Çilingir}, Chaos Solitons Fractals 32, No. 2, 471--479 (2007; Zbl 1139.37031) Full Text: DOI
Wang, Xiaoling; Hua, Xinhou; Yang, Chung-Chun; Yang, Degui Dynamics of permutable transcendental entire functions. (English) Zbl 1131.37051 Rocky Mt. J. Math. 36, No. 6, 2041-2055 (2006). MSC: 37F10 37F50 30D05 PDFBibTeX XMLCite \textit{X. Wang} et al., Rocky Mt. J. Math. 36, No. 6, 2041--2055 (2006; Zbl 1131.37051) Full Text: DOI Euclid
Singh, Anand P.; Wang, Yuefei Julia sets of permutable holomorphic maps. (English) Zbl 1130.37373 Sci. China, Ser. A 49, No. 11, 1715-1721 (2006). MSC: 37F10 30D05 37F50 PDFBibTeX XMLCite \textit{A. P. Singh} and \textit{Y. Wang}, Sci. China, Ser. A 49, No. 11, 1715--1721 (2006; Zbl 1130.37373) Full Text: DOI
Chang, Jianming; Fang, Mingliang Repelling periodic points of given periods of rational functions. (English) Zbl 1130.37371 Sci. China, Ser. A 49, No. 9, 1165-1174 (2006). MSC: 37F10 PDFBibTeX XMLCite \textit{J. Chang} and \textit{M. Fang}, Sci. China, Ser. A 49, No. 9, 1165--1174 (2006; Zbl 1130.37371) Full Text: DOI
Halburd, R. G.; Korhonen, R. J. Existence of finite-order meromorphic solutions as a detector of integrability in difference equations. (English) Zbl 1105.39019 Physica D 218, No. 2, 191-203 (2006). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A12 39A20 34M55 37F10 PDFBibTeX XMLCite \textit{R. G. Halburd} and \textit{R. J. Korhonen}, Physica D 218, No. 2, 191--203 (2006; Zbl 1105.39019) Full Text: DOI
Liao, Liangwen; Yang, Chung-Chun On the Julia sets of two permutable entire functions. (English) Zbl 1099.30013 Rocky Mt. J. Math. 35, No. 5, 1657-1674 (2005). Reviewer: Walter Bergweiler (Kiel) MSC: 30D05 37F10 PDFBibTeX XMLCite \textit{L. Liao} and \textit{C.-C. Yang}, Rocky Mt. J. Math. 35, No. 5, 1657--1674 (2005; Zbl 1099.30013) Full Text: DOI
Dinh, Tien-Cuong Distribution des préimages et des points périodiques d’une correspondance polynomiale. (Distribution of preimages and periodic points of a polynomial correspondence.) (French. English summary) Zbl 1090.37032 Bull. Soc. Math. Fr. 133, No. 3, 363-394 (2005). MSC: 37F10 32H30 32H50 PDFBibTeX XMLCite \textit{T.-C. Dinh}, Bull. Soc. Math. Fr. 133, No. 3, 363--394 (2005; Zbl 1090.37032) Full Text: DOI arXiv
Zheng, Jian-Hua Iteration of functions which are meromorphic outside a small set. (English) Zbl 1158.37307 Tohoku Math. J. (2) 57, No. 1, 23-43 (2005). MSC: 37F10 37F50 30D05 PDFBibTeX XMLCite \textit{J.-H. Zheng}, Tôhoku Math. J. (2) 57, No. 1, 23--43 (2005; Zbl 1158.37307) Full Text: DOI
Dinh, Tien-Cuong; Sibony, Nessim Commutative automorphism groups of a compact Kähler manifold. (Groupes commutatifs d’automorphismes d’une variété kählérienne compacte.) (French. English summary) Zbl 1065.32012 Duke Math. J. 123, No. 2, 311-328 (2004). Reviewer: Bruce Gilligan (Regina) MSC: 32M05 32Q15 37B40 PDFBibTeX XMLCite \textit{T.-C. Dinh} and \textit{N. Sibony}, Duke Math. J. 123, No. 2, 311--328 (2004; Zbl 1065.32012) Full Text: DOI
Brück, Rainer; Büger, Matthias Generalized iteration. (English) Zbl 1064.30018 Comput. Methods Funct. Theory 3, No. 1-2, 201-252 (2003). Reviewer: Walter Bergweiler (Kiel) MSC: 30D05 37F10 PDFBibTeX XMLCite \textit{R. Brück} and \textit{M. Büger}, Comput. Methods Funct. Theory 3, No. 1--2, 201--252 (2003; Zbl 1064.30018) Full Text: DOI
Drakopoulos, V. Are there any Julia sets for the Laguerre iteration function? (English) Zbl 1046.37025 Comput. Math. Appl. 46, No. 8-9, 1201-1210 (2003). MSC: 37F10 30D05 37F50 39B12 37M05 PDFBibTeX XMLCite \textit{V. Drakopoulos}, Comput. Math. Appl. 46, No. 8--9, 1201--1210 (2003; Zbl 1046.37025) Full Text: DOI
Wang, Xiaoling; Yang, Chung-Chun On the Fatou components of two permutable transcendental entire functions. (English) Zbl 1024.30013 J. Math. Anal. Appl. 278, No. 2, 512-526 (2003). Reviewer: Walter Bergweiler (Kiel) MSC: 30D05 30D20 37F10 30D35 PDFBibTeX XMLCite \textit{X. Wang} and \textit{C.-C. Yang}, J. Math. Anal. Appl. 278, No. 2, 512--526 (2003; Zbl 1024.30013) 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
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
Dinh, Tien-Cuong On Lattès mappings of \({\mathbb P}^k\). (Sur les applications de Lattès de \({\mathbb P}^k\).) (French) Zbl 1026.37040 J. Math. Pures Appl., IX. Sér. 80, No. 6, 577-592 (2001). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 37F10 30D05 37F45 PDFBibTeX XMLCite \textit{T.-C. Dinh}, J. Math. Pures Appl. (9) 80, No. 6, 577--592 (2001; Zbl 1026.37040) Full Text: DOI
Dinh, Tien-Cuong Remark on functions having the same Julia set. (Remarque sur les fonctions ayant le même ensemble de Julia.) (French) Zbl 1022.37034 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 9, No. 1, 55-70 (2000). Reviewer: Kiyoko Nishizawa (Sakado) MSC: 37F50 37F10 30D05 PDFBibTeX XMLCite \textit{T.-C. Dinh}, Ann. Fac. Sci. Toulouse, Math. (6) 9, No. 1, 55--70 (2000; Zbl 1022.37034) Full Text: DOI Numdam EuDML
Arteaga, Carlos Centralizers of finite Blaschke products. (English) Zbl 0959.37034 Bol. Soc. Bras. Mat., Nova Sér. 31, No. 2, 163-173 (2000). Reviewer: Pascal J.Thomas (Toulouse) MSC: 37F10 30D50 30D05 37F15 PDFBibTeX XMLCite \textit{C. Arteaga}, Bol. Soc. Bras. Mat., Nova Sér. 31, No. 2, 163--173 (2000; Zbl 0959.37034) Full Text: DOI
Narayaninsamy, Tony On basin boundaries. (English) Zbl 0929.37018 Appl. Math. Comput. 99, No. 2-3, 261-274 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37G35 37G99 PDFBibTeX XMLCite \textit{T. Narayaninsamy}, Appl. Math. Comput. 99, No. 2--3, 261--274 (1999; Zbl 0929.37018) Full Text: DOI