On the escape rate of subshifts of finite type and 2-multiplicative integer systems on Nd

Jung Chao Ban; Wen Guei Hu; Guan Yu Lai

doi:10.4171/aihpd/180

On the escape rate of subshifts of finite type and 2-multiplicative integer systems on N^d

Jung Chao Ban, Wen Guei Hu, Guan Yu Lai

Research output: Contribution to journal › Journal Article › peer-review

Abstract

In this article, we establish the escape rate formula for an N^d subshift of finite type X by means of the horizontal transition matrices of the strip shifts induced from X. This extends the previous result of Haritha and Agarwal (2019) to N^d, d ≥ 1. The concept of the escape rate for N^d 2-multiplicative integer systems is also introduced, and we give a similar result for the estimate of the escape rate for such systems. Finally, the continuity property for both systems is presented.

Original language	English
Pages (from-to)	517-544
Number of pages	28
Journal	Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions
Volume	12
Issue number	3
DOIs	https://doi.org/10.4171/aihpd/180
State	Published - 19 12 2023
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023 Association Publications de l’Institut Henri Poincaré.

Keywords

Multiplicative integer systems
escape rate
shift entropy
strip shift

Access to Document

10.4171/aihpd/180

Cite this

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