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Uspekhi Mat. Nauk, 1986, Volume 41, Issue 4(250), Pages 35–95 (Mi umn2119)  

This article is cited in 30 scientific papers (total in 30 papers)

The dynamics of rational transforms: the topological picture

M. Yu. Lyubich


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English version:
Russian Mathematical Surveys, 1986, 41:4, 43–117

Bibliographic databases:

UDC: 517.53/.57
MSC: 37Dxx, 37F45, 37G30, 37F50
Received: 25.05.1985

Citation: M. Yu. Lyubich, “The dynamics of rational transforms: the topological picture”, Uspekhi Mat. Nauk, 41:4(250) (1986), 35–95; Russian Math. Surveys, 41:4 (1986), 43–117

Citation in format AMSBIB
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\paper The dynamics of rational transforms: the topological picture
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\yr 1986
\vol 41
\issue 4(250)
\pages 35--95
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\transl
\jour Russian Math. Surveys
\yr 1986
\vol 41
\issue 4
\pages 43--117
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    Citing articles on Google Scholar: Russian citations, English citations
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    2. Artur O Lopes, “Dimension spectra and a mathematical model for phase transition”, Advances in Applied Mathematics, 11:4 (1990), 475  crossref
    3. P. M. Bleher, M. Yu. Lyubich, “Julia sets and complex singularities in hierarchical Ising models”, Comm Math Phys, 141:3 (1991), 453  crossref  mathscinet  zmath  adsnasa  isi
    4. G. M. Levin, M. L. Sodin, P. M. Yuditski, “A Ruelle operator for a real Julia set”, Comm Math Phys, 141:1 (1991), 119  crossref  mathscinet  zmath  adsnasa  isi  elib
    5. Paul Blanchard, “Iteration of Rational Functions (Alan F. Beardon)”, SIAM Rev, 35:2 (1993), 310  crossref
    6. Walter Bergweiler, “Newton's method and a class of meromorphic functions without wandering domains”, Ergod Th Dynam Sys, 13:2 (1993)  crossref  mathscinet
    7. R. Labarca, S. Plaza, “Global stability of families of vector fields”, Ergod Th Dynam Sys, 13:4 (1993)  crossref  mathscinet  zmath
    8. Atsushi Kameyama, “Julia sets and self-similar sets”, Topology and its Applications, 54:1-3 (1993), 241  crossref
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    10. Mikhail Lyubich, “Dynamics of quadratic polynomials, I–II”, Acta Math, 178:2 (1997), 185  crossref  mathscinet  zmath  isi
    11. F. Berteloot, J.-J. Loeb, “Spherical hypersurfaces and lattes rational maps”, Journal de Mathématiques Pures et Appliquées, 77:7 (1998), 655  crossref
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    13. Jian-Hua Zheng, “On transcendental meromorphic functions which are geometrically finite”, J Austral Math Soc, 72:1 (2002), 93  crossref  mathscinet  zmath  isi
    14. Bartholdi L., Grigorchuk R., Nekrashevych V., “From fractal groups to fractal sets”, Fractals in Graz 2001: Analysis - Dynamics - Geometry - Stochastics, Trends in Mathematics, 2003, 25–118  isi
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    20. Gaofei Zhang, “On the non-escaping set of e 2πiθ sin (z)”, Isr J Math, 165:1 (2008), 233  crossref  mathscinet  zmath  isi
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    24. A. Glutsyuk, “On density of horospheres in dynamical laminations”, Mosc. Math. J., 10:3 (2010), 547–591  mathnet  mathscinet
    25. Mayer V., Urbanski M., “Ergodic Properties of Semi-Hyperbolic Functions with Polynomial Schwarzian Derivative”, Proc. Edinb. Math. Soc., 53:Part 2 (2010), 471–502  crossref  isi
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