Swiss Cheese, Dendrites, and Quasiconformal Homogeneity

被引：0
|
作者：
Nakki, Raimo [1 ]
Palka, Bruce [2 ]
机构：
[1] Univ Jyvaskyla, Dept Math, SF-40351 Jyvaskyla, Finland
[2] Natl Sci Fdn, Div Math Sci, Arlington, VA 22230 USA
来源：
COMPUTATIONAL METHODS AND FUNCTION THEORY | 2014年 / 14卷 / 2-3期
基金：
美国国家科学基金会;
关键词：
Quasiconformal mapping; Quasiconformally homogeneous domain; Swiss cheese; Dendrite; KLEINIAN-GROUPS; DOMAINS; PLANE;
D O I：
10.1007/s40315-014-0059-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose that is a simply connected domain in the extended complex plane with the following homogeneity property: for each pair of points and in there exists a -quasiconformal self-mapping of such that and . This paper classifies the simply connected plane domains with locally connected boundaries that exhibit this property for some . Any such domain falls into one of five (non-empty) categories, each specified by the character of the boundary of , namely is the empty set, a singleton, a quasicircle, a dendrite, or a Swiss cheese.
引用
收藏
页码：525 / 539
页数：15
相关论文
共 50 条
  • [41] Rheology of Swiss Cheese Fondue
    Bertsch, Pascal
    Savorani, Laura
    Fischer, Peter
    ACS OMEGA, 2019, 4 (01): : 1103 - 1109
  • [42] The bacteriology of Swiss cheese I Growth and activity of bacteria during manufacturing processes in the Swiss cheese kettle
    Frazier, WC
    Sanders, GP
    Boyer, AJ
    Long, HF
    JOURNAL OF BACTERIOLOGY, 1934, 27 (06) : 539 - 549
  • [43] Plasminogen activation in cheese milk: Influence on Swiss cheese ripening
    Bastian, ED
    Lo, CG
    David, KMM
    JOURNAL OF DAIRY SCIENCE, 1997, 80 (02) : 245 - 251
  • [44] Swiss cheese-makers: at the start of Russian cheese making
    Tikhonova, A. V.
    VOPROSY ISTORII, 2012, (03) : 110 - 119
  • [45] Quasiconformal homogeneity of hyperbolic surfaces with fixed-point full automorphisms
    Bonfert-Taylor, Petra
    Bridgeman, Martin
    Canary, Richard D.
    Taylor, Edward C.
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2007, 143 : 71 - 84
  • [46] MORE EVIDENCE FOR A SWISS CHEESE UNIVERSE
    HECHT, J
    NEW SCIENTIST, 1984, 102 (1411) : 19 - 19
  • [47] Swiss Cheese Striatum Clinical Implications
    Burnett, Melinda S.
    Witte, Robert J.
    Ahlskog, J. Eric
    JAMA NEUROLOGY, 2014, 71 (06) : 735 - 741
  • [48] The Swiss cheese model in takotsubo syndrome
    Arcari, Luca
    Musumeci, Maria Beatrice
    Cacciotti, Luca
    EUROPEAN HEART JOURNAL-CASE REPORTS, 2022, 6 (06)
  • [49] Swiss-cheese appearance of the brain
    Ghosh, Partha S.
    Moodley, Manikum
    JOURNAL OF PAEDIATRICS AND CHILD HEALTH, 2012, 48 (02)
  • [50] SWISS-CHEESE PLATELETS - COMMENT
    DAVIS, RB
    ANNALS OF INTERNAL MEDICINE, 1974, 80 (06) : 776 - 776
12345