Subsystems of transitive subshifts with linear complexity

Autor: Dykstra, Andrew, Ormes, Nicholas, Pavlov, Ronnie
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1017/etds.2021.8
Popis: We bound the number of distinct minimal subsystems of a given transitive subshift of linear complexity, continuing work of Ormes and Pavlov [7]. We also bound the number of generic measures such a subshift can support based on its complexity function. Our measure-theoretic bounds generalize those of Boshernitzan [1] and are closely related to those of Cyr and Kra [2].
Comment: 30 pages, 0 figures
Databáze: arXiv