Locally discrete expanding groups of analytic diffeomorphisms of the circle

被引:3
|
作者
Deroin, Bertrand [1 ]
机构
[1] Univ Cergy Pontoise, CNRS, Lab AGM, 2 Ave Adolphe Chauvin, F-95302 Cergy Pontoise, France
关键词
37C85 (primary); 20E06; 37D25; 37F15; 57S05 (secondary); CONVERGENCE GROUPS;
D O I
10.1112/topo.12146
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that a finitely generated subgroup ofDiff omega(S1)that is expanding and locally discrete in the analytic category is analytically conjugated to a uniform lattice inPGL similar to 2k(R)acting on thekth covering ofRP1for a certain integerk>0.
引用
收藏
页码:1216 / 1229
页数:14
相关论文
共 50 条
  • [41] Some properties of quasi-invariant measures on groups of diffeomorphisms of the circle
    Shavgulidze, ET
    [J]. RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2000, 7 (04) : 464 - 472
  • [42] Rational diffeomorphisms of the circle
    Langer, Joel
    [J]. APPLIED MATHEMATICS LETTERS, 2007, 20 (08) : 876 - 879
  • [43] ON THE BLASCHKE CIRCLE DIFFEOMORPHISMS
    Chu, Haifeng
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (03) : 1169 - 1182
  • [44] Anosov and Circle Diffeomorphisms
    Almeida, Joao P.
    Fisher, Albert M.
    Pinto, Alberto A.
    Rand, David A.
    [J]. DYNAMICS, GAMES AND SCIENCE I, 2011, 1 : 11 - 23
  • [45] Lower bounds for the Ruelle spectrum of analytic expanding circle maps
    Bandtlow, Oscar F.
    Naud, Frederic
    [J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2019, 39 : 289 - 310
  • [46] Introduction to circle packing: the theory of discrete analytic functions
    J. W. Cannon
    W. J. Floyd
    W. R. Parry
    [J]. The Mathematical Intelligencer, 2007, 29 (3) : 63 - 66
  • [47] Introduction to circle packing: the theory of discrete analytic functions
    Lord, Nick
    [J]. MATHEMATICAL GAZETTE, 2006, 90 (519): : 554 - 556
  • [48] On mostly expanding diffeomorphisms
    Andersson, Martin
    Vasquez, Carlos H.
    [J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2018, 38 : 2838 - 2859
  • [49] Discrete subgroups of locally definable groups
    Alessandro Berarducci
    Mário Edmundo
    Marcello Mamino
    [J]. Selecta Mathematica, 2013, 19 : 719 - 736
  • [50] Discrete subgroups of locally definable groups
    Berarducci, Alessandro
    Edmundo, Mario
    Mamino, Marcello
    [J]. SELECTA MATHEMATICA-NEW SERIES, 2013, 19 (03): : 719 - 736