Ahlfors, L. and Bers, L. The Riemann Mappings Theorem for Variable Metrics, Annals of Math., Vol. 72-2, 1960, 385-404. Home/Search Document Not in Database Summary Related Articles Check |
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Regular Or Stochastic Dynamics In Real Analytic Families.. - Avila, Lyubich, De Melo (2001) (5 citations) (Correct)
....eld is quasiconformal if it is K qc for some K. The theory of qc vector elds has many parallels with the theory of qc maps. Given 2 L (C ) one obtains a qc vector eld with = Global) solutions to this problem are obtained from local ones, and those can be explicitly given (see [AB]) using the Cauchy transform ( z d d : The Cauchy transform also implies that local solutions have modulus of continuity (x) x ln(x) see [Mc2] Theorem A.10) Two qc vector elds and such that = di er by a conformal vector eld (this is another instance of ....
....holomorphic motion with base point 0. Then d is a qc vector eld on X. Moreover, if X is an open set, 2.4) d Proof. Consider an extension of h , which we still denote h . By Theorem 2.7, h depends holomorphically on , and (2. 4) follows from the proof of Lemma 19 of [AB]. 2.6.2. Equivariant vector elds. Let f C be a holomorphic map and let v be a holomorphic vector eld on A vector eld is called equivariant on some set (with respect to the pair (f; v) if for any z 2 X , 2.5) v(z) f(z) f (z) z) Note that this equation can also be ....
L. Ahlfors & L. Bers. Riemann mapping theorem for variable metrics. Ann. of Math., 72 (1960), 385-404.
Quasiconformal Isotopies - Earle, McMullen (1988) (1 citation) (Correct)
....is the identity on S 1 . Then f has a lift y:D D that extends continuously to the identity on S 1 and commutes with every element of G. Let denote the dilatation of y, and let a t denote the unique quasiconformal map of the disk to itself with dilatation t, fixing (1,i, 1) By Ahlfors Bers [AB], a t gives an isotopy of D , but not necessarily rel S 1 . Since is G invariant, G t = a t 1 G a t is a family of Fuchsian groups isomorphic to G. Also a 0 = a 1 =id on S 1 , so G 0 = G 1 = G. Let b t = ex(a t 1 ) denote the barycentric extension of the boundary values of a t ....
L. Ahlfors, L. Bers. Riemann mapping theorem for variable metrics. Annals of Math 72 (1960), pp.385-404.
Complex Dynamics and Symbolic Dynamics - Blanchard, Devaney, Keen (Correct)
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Ahlfors, L. and Bers, L. The Riemann Mappings Theorem for Variable Metrics, Annals of Math., Vol. 72-2, 1960, 385-404.
Accessible Points in the Julia Sets of Stable.. - Bhattacharjee, Devaney, .. (2001) (Correct)
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Ahlfors, L. and Bers, L. The Riemann Mappings Theorem for Variable Metrics, Annals of Math., 72-2 (1960), 385-404.
Tying Hairs for Structurally Stable Exponentials - Bhattacharjee, Devaney (1998) (3 citations) (Correct)
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Ahlfors, L. and Bers, L. The Riemann Mappings Theorem for Variable Metrics, Annals of Math., Vol. 72-2, 1960, 385-404.
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