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arXiv · 1705.11130

Computations for symbolic substitutions

Dan Rust·Scott Balchin
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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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Dan Rust, Scott Balchin. 2017-05-30. Computations for symbolic substitutions. https://arxiv.org/abs/1705.11130

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