Dense properties of the space of circle diffeomorphisms with a Liouville rotation number

被引：3

作者：

Matsumoto, Shigenori ^{[1
]}

机构：

[1] Nihon Univ, Coll Sci & Technol, Dept Math, Chiyoda Ku, Tokyo 1018308, Japan

来源：

NONLINEARITY | 2012年 / 25卷 / 05期

关键词：

D O I：

10.1088/0951-7715/25/5/1495

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given any Liouville number alpha, it is shown that various subspaces are C-infinity-dense in the space of the orientation preserving C-infinity diffeomorphisms of the circle with rotation number alpha.

引用

页码：1495 / 1511

页数：17

共 50 条

[31] Dynamics on the circle1. Interval dynamics and rotation number
Siddhartha Gadgil
Resonance, 2003, 8 (11) : 25 - 36
[32] Almost sure rotation number of piecewise affine endomorphisms of the circle
Crovisier, S
BULLETIN BRAZILIAN MATHEMATICAL SOCIETY, 2002, 33 (01): : 1 - 26
[33] ROTATION SHADOWING PROPERTIES OF CIRCLE AND ANNULUS MAPS
BARGE, M
SWANSON, R
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1988, 8 : 509 - 521
[34] Properties of the convolution operation for quasi-invariant measures on groups of diffeomorphisms of a circle
Shavgulidze, ET
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2001, 8 (04) : 495 - 498
[35] Rotation number, geometrical structures on a circle and Bott-Virasoro group
Guieu, L
ANNALES DE L INSTITUT FOURIER, 1996, 46 (04) : 971 - &
[36] FUNCTIONAL-EQUATIONS FOR CIRCLE HOMEOMORPHISMS WITH GOLDEN RATIO ROTATION NUMBER
LANFORD, OE
JOURNAL OF STATISTICAL PHYSICS, 1984, 34 (1-2) : 57 - 73
[37] Rotation number, invariant measures and ratio set of PL homeomorphisms of the circle
Liousse, I
ANNALES DE L INSTITUT FOURIER, 2005, 55 (02) : 431 - +
[38] On Massive Subsets in the Space of Finitely Generated Groups of Diffeomorphisms of the Line and the Circle in the Case of C (1) Smoothness
Beklaryan L.A.
Journal of Mathematical Sciences, 2021, 257 (6) : 780 - 796
[39] Rotation number associated with difference equations satisfied by polynomials orthogonal on the unit circle
Geronimo, JS
Johnson, RA
JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 132 (01) : 140 - 178
[40] THE SET OF CIRCLE PACKING POINTS IN THE TEICHMULLER SPACE OF A SURFACE OF FINITE CONFORMAL TYPE IS DENSE
BOWERS, PL
STEPHENSON, K
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1992, 111 : 487 - 513

← 1 2 3 4 5 →