Invariant measures for certain linear fractional transformations mod 1

被引：2

作者：

Gröchenig, K ^{[1
]}

Haas, A ^{[1
]}

机构：

[1] Univ Connecticut, Dept Math U3009, Storrs, CT 06269 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 12期

关键词：

continued fractions; interval maps; invariant measures;

D O I：

10.1090/S0002-9939-99-05008-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Explicit invariant measures are derived for a family of finite-to-one, ergodic transformations of the unit interval having indifferent periodic orbits.

引用

页码：3439 / 3444

页数：6

共 19 条

[1] Orbit Representations from Linear mod 1 Transformations
Ramos, Carlos Correia
Martins, Nuno
Pinto, Paulo R.
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2012, 8
[2] Invariant measures of piecewise fractional linear maps and piecewise quadratic maps
Schweiger, Fritz
[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2018, 14 (06) : 1559 - 1572
[3] Recurrence of transformations with absolutely continuous invariant measures
Choe, GH
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2002, 129 (2-3) : 501 - 516
[4] Compositions of linear-fractional transformations
Buslaev, VI
Buslaeva, SF
[J]. MATHEMATICAL NOTES, 1997, 61 (3-4) : 272 - 277
[5] Compositions of linear-fractional transformations
V. I. Buslaev
S. F. Buslaeva
[J]. Mathematical Notes, 1997, 61 : 272 - 277
[6] Dynamics of semigroup actions of linear fractional transformations
Javaheri, Mohammad
[J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2014, 29 (04): : 439 - 450
[7] INVARIANT MEASURES ON PRODUCTS AND ON THE SPACE OF LINEAR ORDERS
Jahel, Colin
Tsankov, Todor
[J]. JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES, 2022, 9 : 155 - 176
[8] STABILITY AND APPROXIMATION OF INVARIANT-MEASURES FOR A CLASS OF NONEXPANDING TRANSFORMATIONS
MILLER, WM
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 23 (08) : 1013 - 1025
[9] Invariant densities for composed piecewise fractional linear maps
Schweiger, Fritz
[J]. MONATSHEFTE FUR MATHEMATIK, 2021, 194 (01): : 181 - 192
[10] Invariant densities for composed piecewise fractional linear maps
Fritz Schweiger
[J]. Monatshefte für Mathematik, 2021, 194 : 181 - 192

← 1 2 →