Geodesic
Computations for symbolic substitutions
Journal of integer sequences, Tome 20 (2017) no. 4
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.
Classification : 37B10, 52C23, 54H20, 55N05, 68R15
Keywords: tiling space, symbolic dynamics, $\check $Cech cohomology, Pisot, substitution 
@article{JIS_2017__20_4_a6,
     author = {Balchin,  Scott and Rust,  Dan},
     title = {Computations for symbolic substitutions},
     journal = {Journal of integer sequences},
     year = {2017},
     volume = {20},
     number = {4},
     zbl = {1360.37036},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a6/}
}
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Balchin,  Scott; Rust,  Dan. Computations for symbolic substitutions. Journal of integer sequences, Tome 20 (2017) no. 4. http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a6/