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

Kessebohmer, Marc; Schindler, Tanja

Description

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...[Show more]

CollectionsANU Research Publications
Date published: 2019-10-06
Type: Journal article
URI: http://hdl.handle.net/1885/224123
Source: Dynamical Systems
DOI: 10.1080/14689367.2019.1667305

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