Local limit theorems for suspended semiflows

Jon Aaronson*, Dalia Terhesiu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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
Issue number12
StatePublished - Dec 2020


  • 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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