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

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-Hölder continuous functions for subshifts of finite type.

19 pages. arXiv admin note: text overlap with arXiv:1706.07369

References in corpus (1)

• Trimmed sums for observables on the doubling map

Cited by in corpus (1)

• Mean convergence for intermediately trimmed Birkhoff sums of observables with regularly varying tails