Local limit theorems for suspended semiflows

Jon Aaronson*, Dalia Terhesiu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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 languageEnglish
Pages (from-to)6575-6609
Number of pages35
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume40
Issue number12
DOIs
StatePublished - Dec 2020

Funding

FundersFunder number
Israel Science Foundation1289/17

    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

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