Uniform and semi-uniform convergence for discontinuous skew-product transformation and observation
From MaRDI portal
Publication:831035
DOI10.1007/s10114-021-9151-0zbMath1466.37006OpenAlexW3130592985MaRDI QIDQ831035
Zhe Zhou, Xia Pan, Zuo-huan Zheng
Publication date: 10 May 2021
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-021-9151-0
Ergodic theorems, spectral theory, Markov operators (37A30) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Measures and integrals in product spaces (28A35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Norm convergence of nilpotent ergodic averages
- Necessary and sufficient conditions for semi-uniform ergodic theorems and their application
- The rotation number for almost periodic potentials
- Invariant graphs for forced systems
- Almost sure convergence of the multiple ergodic average for certain weakly mixing systems
- Pointwise convergence of multiple ergodic averages and strictly ergodic models
- Nonconventional ergodic averages and nilmanifolds
- Semi-uniform sub-additive ergodic theorems for discontinuous skew-product transformations
- Uniform ergodic theorems for discontinuous skew-product flows and applications to Schrödinger equations
- Optimal state points of the subadditive ergodic theorem
- Ergodic seminorms for commuting transformations and applications
- Convergence of diagonal ergodic averages
- Universal characteristic factors and Furstenberg averages
- On the norm convergence of non-conventional ergodic averages
- Double recurrence and almost sure convergence.
- Semi-uniform ergodic theorems and applications to forced systems
- Norm convergence of multiple ergodic averages for commuting transformations
- Ergodic sets
