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Titlebook: Holomorphic Functions and Moduli I; Proceedings of a Wor D. Drasin,I. Kra,F. W. Gehring Conference proceedings 1988 Springer-Verlag New Yor

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Conference proceedings 1988articles included here cover a broad spectrum, representative of the activities during the semester. We have made an attempt to group them by subject, for the reader‘s convenience. The Editors take pleasure in thanking all participants, authors and ref­ erees for their work in producing these volume
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Cone conditions and quasiconformal mappingste that, when . obeys a specific interior cone condition along its boundary, . must satisfy a uniform Hölder condition in ... With regard to .., the dual result one might anticipate — that an exterior cone condition satisfied by . at its boundary would lead to a uniform Hölder estimate for .. in . —
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Mathematical Sciences Research Institute Publicationshttp://image.papertrans.cn/h/image/427951.jpg
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Dynamics of holomorphic self-maps of ℂ*In this paper we classify the stable components of holomorphic self-maps of ℂ* which have finitely many singular values. We use this to study a one and a two parameter family of such functions. We examine the dynamic dependence of these functions on the parameters and study the parameter spaces themselves.
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Automorphisms of rational mapsLet f(z) be a rational map, Aut(f) the finite group of Möbius transformations commuting with f. We study the question: when can two kinds of more flexible automorphisms of the dynamics of f be realized in Aut(g) for some deformation g of f?
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