Geodesic
Computations for symbolic substitutions
Journal of integer sequences, Tome 20 (2017) no. 4.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a6/}
}
TY  - JOUR
AU  - Balchin, Scott
AU  - Rust, Dan
TI  - Computations for symbolic substitutions
JO  - Journal of integer sequences
PY  - 2017
VL  - 20
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a6/
LA  - en
ID  - JIS_2017__20_4_a6
ER  - 
%0 Journal Article
%A Balchin, Scott
%A Rust, Dan
%T Computations for symbolic substitutions
%J Journal of integer sequences
%D 2017
%V 20
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a6/
%G en
%F JIS_2017__20_4_a6
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/