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Hausdorff dimension of quasi-cirles of polygonal mappings and its applications
Huo ShengJin ; Tang ShuAn ; Wu ShengJian
2013
关键词Hausdorff dimension Teichmuller space quasi-circle polygonal mapping
英文摘要We show that the Hausdorff dimension of quasi-circles of polygonal mappings is one. Furthermore, we apply this result to the theory of extremal quasiconformal mappings. Let [A mu] be a point in the universal Teichmuller space such that the Hausdorff dimension of f (A mu)(I-Delta) is bigger than one. We show that for every k (n) a (0, 1) and polygonal differentials phi (n) , n = 1, 2, aEuro broken vertical bar, the sequence cannot converge to [A mu] under the Teichmuller metric.; Mathematics, Applied; Mathematics; SCI(E); 1; ARTICLE; 5; 1033-1040; 56
语种英语
出处SCI
出版者science china mathematics
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/157483]  
专题数学科学学院
推荐引用方式
GB/T 7714
Huo ShengJin,Tang ShuAn,Wu ShengJian. Hausdorff dimension of quasi-cirles of polygonal mappings and its applications. 2013-01-01.
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