Entropy of transcendental entire functions

被引:3
|
作者
Benini, Anna Miriam [1 ]
Fornaess, John Erik [2 ]
Peters, Han [3 ]
机构
[1] Univ Parma, Dipartimento Sci Matemat Fis & Informat, Parma, Italy
[2] NTNU Trondheim, Dept Math Sci, Trondheim, Norway
[3] Univ Amsterdam, Korteweg de Vries Inst Math, Amsterdam, Netherlands
基金
欧盟地平线“2020”;
关键词
transcendental dynamics; entropy; hyperbolic metric; TOPOLOGICAL-ENTROPY;
D O I
10.1017/etds.2019.65
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove that all transcendental entire functions have infinite topological entropy.
引用
收藏
页码:338 / 348
页数:11
相关论文
共 50 条
  • [1] Infinite Entropy for Transcendental Entire Functions with an Omitted Value
    Anna Miriam Benini
    John Erik Fornæss
    Han Peters
    Acta Mathematica Vietnamica, 2020, 45 : 49 - 52
  • [2] Infinite Entropy for Transcendental Entire Functions with an Omitted Value
    Benini, Anna Miriam
    Fornaess, John Erik
    Peters, Han
    ACTA MATHEMATICA VIETNAMICA, 2020, 45 (01) : 49 - 52
  • [3] ON THE PERIODICITY OF TRANSCENDENTAL ENTIRE FUNCTIONS
    Liu, Xinling
    Korhonen, Risto
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 101 (03) : 453 - 465
  • [4] PROPERTY OF ENTIRE TRANSCENDENTAL FUNCTIONS
    ABIAN, A
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (03): : A328 - A328
  • [5] Geometrically finite transcendental entire functions
    Alhamed, Mashael
    Rempe, Lasse
    Sixsmith, Dave
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2022, 106 (02): : 485 - 527
  • [6] Semigroups of transcendental entire functions and their dynamics
    DINESH KUMAR
    SANJAY KUMAR
    Proceedings - Mathematical Sciences, 2017, 127 : 349 - 360
  • [7] Semigroups of transcendental entire functions and their dynamics
    Kumar, Dinesh
    Kumar, Sanjay
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2017, 127 (02): : 349 - 360
  • [8] ON THE COMPOSITION OF TRANSCENDENTAL ENTIRE AND MEROMORPHIC FUNCTIONS
    BERGWEILER, W
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (07) : 2151 - 2153
  • [9] Dynamics of permutable transcendental entire functions
    Wang, Xiaoling
    Hua, Xinhou
    Yang, Chung-Chun
    Yang, Degui
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2006, 36 (06) : 2041 - 2055
  • [10] Splitting Hairs with Transcendental Entire Functions
    Pardo-Simon, Leticia
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (15) : 13387 - 13425