Abstract
We prove local limit theorems for a cocycle over a semiflow by establishing topological, mixing properties of the associated skew product semiflow. We also establish conditional rational weak mixing of certain skew product semiflows and various mixing properties including order 2 rational weak mixing of hyperbolic geodesic flows on the tangent spaces of cyclic covers.
Original language | English |
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Pages (from-to) | 6575-6609 |
Number of pages | 35 |
Journal | Discrete and Continuous Dynamical Systems |
Volume | 40 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2020 |
Keywords
- AFU map
- Cocycle
- Continuous time random walk
- Fibered system
- G-M map
- Infinite ergodic theory
- Local limit mixing
- Operator local limit theorem
- Quasicompact action
- Rational weak mixing
- Suspended semiflow
- Transfer operator