Computations for Symbolic Substitutions

Balchin, Scott and Rust, Dan (2017). Computations for Symbolic Substitutions. Journal of Integer Sequences, 20, article no. 17.4.1.

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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About

• 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
• • https://cs.uwaterloo.ca/journals/JIS/VOL...
• Depositing User
• Dan Rust