Local limit theorems for suspended semiflows

Jon Aaronson; Dalia Terhesiu

doi:10.3934/dcds.2020294

Local limit theorems for suspended semiflows

Jon Aaronson^*, Dalia Terhesiu

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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
Pages (from-to)	6575-6609
Number of pages	35
Journal	Discrete and Continuous Dynamical Systems
Volume	40
Issue number	12
DOIs	https://doi.org/10.3934/dcds.2020294
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

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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.",

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KW - Cocycle

KW - Continuous time random walk

KW - Fibered system

KW - G-M map

KW - Infinite ergodic theory

KW - Local limit mixing

KW - Operator local limit theorem

KW - Quasicompact action

KW - Rational weak mixing

KW - Suspended semiflow

KW - Transfer operator

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JF - Discrete and Continuous Dynamical Systems

IS - 12

ER -

Local limit theorems for suspended semiflows

Abstract

Keywords

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