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. To prove these statements we introduce the space of quasiHolder continuous functions for subshifts of finite type. Additionally, we prove a trimmed strong law for St. Petersburg type distribution functions which can be applied to interval maps, subshifts of finite type and possibly other dynamical systems. Show more