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arXiv · 1901.04478

Intermediately trimmed strong laws for Birkhoff sums on subshifts of finite type

Marc Kesseböhmer·Tanja Schindler
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Abstract

We prove strong laws of large numbers under intermediate trimming for Birkhoff sums over subshifts of finite type. This gives another application of a previous trimming result only proven for interval maps. In case of Markov measures we give a further example of St.\ Petersburg type distribution functions. To prove these statements we introduce the space of quasi-H\"older continuous functions for subshifts of finite type.

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Marc Kesseböhmer, Tanja Schindler. 2019-01-13. Intermediately trimmed strong laws for Birkhoff sums on subshifts of finite type. https://doi.org/10.1080/14689367.2019.1667305

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