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Rational ergodicity of step function skew products
- Source :
- Journal of Modern Dynamics
- Publication Year :
- 2018
- Publisher :
- American Institute of Mathematical Sciences (AIMS), 2018.
-
Abstract
- We study rational step function skew products over certain rotations of the circle proving ergodicity and bounded rational ergodicity when rotation number is a quadratic irrational. The latter arises from a consideration of the asymptotic temporal statistics of an orbit as modelled by an associated affine random walk.<br />Comment: Revised version after refereeing
- Subjects :
- Pure mathematics
Mathematics::Dynamical Systems
Algebra and Number Theory
Mathematics - Number Theory
Applied Mathematics
Probability (math.PR)
Mathematical analysis
Ergodicity
Skew
Stochastic matrix
Dynamical Systems (math.DS)
37A40, 11K38, 60F05
Random walk
Step function
Bounded function
FOS: Mathematics
Number Theory (math.NT)
Affine transformation
Mathematics - Dynamical Systems
Mathematics - Probability
Analysis
Rotation number
Mathematics
Subjects
Details
- ISSN :
- 1930532X
- Volume :
- 13
- Database :
- OpenAIRE
- Journal :
- Journal of Modern Dynamics
- Accession number :
- edsair.doi.dedup.....67b9b7d4b9703492d0ed902e60c1c188
- Full Text :
- https://doi.org/10.3934/jmd.2018012