THE FAILURE OF ANALYTICITY OF HAUSDORFF DIMENSIONS OF QUASI-CIRCLES OF FUCHSIAN GROUPS OF THE SECOND KIND

被引：0

作者：

Huo, Shengjin ^{[1
,2
]}

Wu, Shengjian ^{[1
,2
]}

机构：

[1] Peking Univ, LMAM, Beijing 100871, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Fuchsian group; Carleson measure; Hausdorff dimension; Teichmuller space; TEICHMULLER-SPACES; MOSTOW RIGIDITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a Fuchsian group. Any [mu] in the Teichmuller space T(Gamma) determines a quasi-circle f(mu)(partial derivative D). In this paper, we prove that, for any Fuchsian group Gamma of the second kind, the Hausdorff dimension delta([mu]) = dimf(mu)(partial derivative D) is not a real analytic function in T(Gamma).

引用

页码：1101 / 1108

页数：8

共 5 条

[1] Classification of quasi-circles by Hausdorff dimension
Falconer, K. J.
Marsh, D. T.
NONLINEARITY, 1989, 2 (03) : 489 - 493
[2] Conformal conjugation of Fuchsian groups from the first kind to the second kind
Matsuzaki, K
Shiga, H
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1996, 476 : 191 - 200
[3] A property of purely hyperbolic fuchsian groups of the second kind
Semenova O.L.
Journal of Mathematical Sciences, 2001, 107 (4) : 4092 - 4096
[4] Fuchsian groups of the second kind and representations carried by the limit set
Bunke, U
Olbrich, M
INVENTIONES MATHEMATICAE, 1997, 127 (01) : 127 - 154
[5] Fuchsian groups of the second kind and representations carried by the limit set
Ulrich Bunke
Martin Olbrich
Inventiones mathematicae, 1997, 127 : 127 - 154

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