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Balchin, Scott and Rust, Dan
(2017).
Abstract
We provide a survey of results from symbolic dynamics and algebraic topology relating to Grout, a new user-friendly program developed to calculate combinatorial properties and topological invariants of a large class of symbolic substitutions. We study their subshifts (and related spaces) with an emphasis on examples of computations. We implement a check to verify that no counterexample exists to the so-called strong coincidence conjecture for a large number of substitutions on three and four letters.
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- Item ORO ID
- 70949
- Item Type
- Journal Item
- ISSN
- 1530-7638
- Keywords
- tiling space; symbolic dynamics; Cech cohomology; Pisot; substitution
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2017 The Authors
- Related URLs
- Depositing User
- Dan Rust