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Cui Guizhen1; Tan Lei2
Source Publicationsciencechinamathematics
AbstractWe develop a thurston-like theory to characterize geometrically finite rational maps, and then apply it to study pinching and plumbing deformations of rational maps. we show that under certain conditions the pinching path converges uniformly and the quasiconformal conjugacy converges uniformly to a semi-conjugacy from the original map to the limit. conversely, every geometrically finite rational map with parabolic points is the landing point of a pinching path for any prescribed plumbing combinatorics.
Document Type期刊论文
2.LAREMA, Universite d’Angers
Recommended Citation
GB/T 7714
Cui Guizhen,Tan Lei. hyperbolicparabolicdeformationsofrationalmaps[J]. sciencechinamathematics,2018,61(12):2157.
APA Cui Guizhen,&Tan Lei.(2018).hyperbolicparabolicdeformationsofrationalmaps.sciencechinamathematics,61(12),2157.
MLA Cui Guizhen,et al."hyperbolicparabolicdeformationsofrationalmaps".sciencechinamathematics 61.12(2018):2157.
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