# Krickeberg mixing for Z extensions of Gibbs Markov semiflows

## TL;DR

This paper proves Krickeberg mixing for certain Z extensions of Gibbs Markov semiflows with non-L2 roof and displacement functions, using a novel smooth tail estimate for the suspension flow.

## Contribution

It introduces a new method employing smooth tail estimates to establish Krickeberg mixing in cases where previous techniques failed.

## Key findings

- Established Krickeberg mixing for Z extensions with non-L2 functions
- Developed a smooth tail estimate for the suspension flow
- Extended mixing results beyond prior limitations

## Abstract

We obtain Krickeberg mixing for a class of Z extensions of Gibbs Markov semiflows with roof function and displacement function not in L2, where previous methods have not been employed. This is done via a 'smooth tail' estimate for the isomorphic suspension flow.