THE HAUSDORFF DIMENSION OF JULIA SETS OF ENTIRE-FUNCTIONS

被引：23

作者：

STALLARD, GM

机构：

[1] Department of Mathematics, Imperial College of Science

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1991年 / 11卷

关键词：

D O I：

10.1017/S0143385700006477

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a set of transcendental entire functions such that the Hausdorff dimensions of the Julia sets of these functions have greatest lower bound equal to one.

引用

页码：769 / 777

页数：9

共 50 条

[21] THE GLOBAL DIMENSION OF THE RING OF ENTIRE-FUNCTIONS
JENSEN, CU
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1982, 294 (12): : 385 - 386
[22] Hausdorff Dimension of Julia Sets in the Logistic Family
Dobbs, Neil
Graczyk, Jacek
Mihalache, Nicolae
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2023, 399 (02) : 673 - 716
[23] Cantor Julia sets with Hausdorff dimension two
Yang, Fei
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (07) : 4994 - 5006
[24] Transcendental Julia sets of minimal Hausdorff dimension
Burkart, Jack
Lazebnik, Kirill
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2025,
[25] Hausdorff dimension of quadratic rational Julia sets
Jia Zhou
Liang Wen Liao
Acta Mathematica Sinica, English Series, 2014, 30 : 331 - 342
[26] Hausdorff Dimension of Julia Sets in the Logistic Family
Neil Dobbs
Jacek Graczyk
Nicolae Mihalache
Communications in Mathematical Physics, 2023, 399 : 673 - 716
[27] HAUSDORFF DIMENSION OF JULIA SETS OF UNICRITICAL CORRESPONDENCES
Siqueira, Carlos
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (02) : 633 - 645
[28] HAUSDORFF DIMENSION AND BIACCESSIBILITY FOR POLYNOMIAL JULIA SETS
Meerkamp, Philipp
Schleicher, Dierk
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (02) : 533 - 542
[29] Julia sets, Hausdorff dimension and phase transition
Gao, Junyang
CHAOS SOLITONS & FRACTALS, 2011, 44 (10) : 871 - 877
[30] ESCAPE RATES AND HAUSDORFF DIMENSION OF JULIA SETS
ECKHARDT, B
CHAOS SOLITONS & FRACTALS, 1993, 3 (04) : 387 - 394

← 1 2 3 4 5 →