A note on holomorphic mappings with two fixed points
Marek Jarnicki, Piotr Tworzewski (1990)
Annales Polonici Mathematici
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Marek Jarnicki, Piotr Tworzewski (1990)
Annales Polonici Mathematici
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Clifford J. Earle, Robert S. Fowler (1985)
Mathematische Annalen
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T. Kuczumow (1988)
Colloquium Mathematicae
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Do Duc Thai (1991)
Annales Polonici Mathematici
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Abstract. The characterization of hyperbolic embeddability of relatively compact subspaces of a complex space in terms of extension of holomorphic maps from the punctured disc and of limit complex lines is given.
Apostolova, Lilia N. (2012)
Mathematica Balkanica New Series
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MSC 2010: 30C10, 32A30, 30G35 The algebra R(1; j; j2; j3), j4 = ¡1 of the fourth-R numbers, or in other words the algebra of the double-complex numbers C(1; j) and the corresponding functions, were studied in the papers of S. Dimiev and al. (see [1], [2], [3], [4]). The hyperbolic fourth-R numbers form other similar to C(1; j) algebra with zero divisors. In this note the square roots of hyperbolic fourth-R numbers and hyperbolic complex numbers are found. The quadratic equation...
Zbigniew Slodkowski (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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J. Eells, L. Lemaire (1980)
Mathematische Annalen
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Katrin Gelfert, Christian Wolf (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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For a class of one-dimensional holomorphic maps f of the Riemann sphere we prove that for a wide class of potentials φ the topological pressure is entirely determined by the values of φ on the repelling periodic points of f. This is a version of a classical result of Bowen for hyperbolic diffeomorphisms in the holomorphic non-uniformly hyperbolic setting.
Richard M. Aron, Luzia A. Moraes, Raymond A. Ryan (1987)
Mathematische Annalen
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Wing-Keung To (1993)
Mathematische Annalen
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Hajime Tsuji (1981)
Mathematische Annalen
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Francois Treves, Nicholas Hanges (1983)
Mathematische Annalen
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Richard Jerrard (1970)
Colloquium Mathematicae
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S. Bullett, C. Penrose (2001)
Fundamenta Mathematicae
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Holomorphic correspondences are multivalued maps between Riemann surfaces Z and W, where Q̃₋ and Q̃₊ are (single-valued) holomorphic maps from another Riemann surface X onto Z and W respectively. When Z = W one can iterate f forwards, backwards or globally (allowing arbitrarily many changes of direction from forwards to backwards and vice versa). Iterated holomorphic correspondences on the Riemann sphere display many of the features of the dynamics of Kleinian groups and rational maps,...
John Erik Fornaess, Nessim Sibony (1995)
Mathematische Annalen
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