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-H\"older continuous functions for subshifts of finite type.