WAP Systems and Labeled Subshifts
Abstract
The main object of this work is to present a powerful method of construction of subshifts which we use chiefly to construct WAP systems with various properties. Among many other applications of this so called labeled subshifts, we obtain examples of null as well as non-null WAP subshifts, WAP subshifts of arbitrary countable (Birkhoff) height, and completely scrambled WAP systems of arbitrary countable height. We also construct LE but not HAE subshifts, and recurrent non-tame subshifts.
Recommended Citation
E. Akin and E. Glasner, "WAP Systems and Labeled Subshifts," Memoirs of the American Mathematical Society, vol. 262, no. 1265, pp. 1 - 128, American Mathematical Society, Jan 2019.
The definitive version is available at https://doi.org/10.1090/memo/1265
Department(s)
Mathematics and Statistics
Keywords and Phrases
Adherence semigroup; Countable subshifts; Enveloping semigroup; Expanding functions; HAE; LE dynamical systems; Null; Space of labels; Subshifts; Symbolic dynamics; Tame; WAP
International Standard Serial Number (ISSN)
1947-6221; 0065-9266
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2026 American Mathematical Society, All rights reserved.
Publication Date
01 Jan 2019
