A complete invariant for the topology of one-dimensional substitution tiling spaces

By Marcy Barge, B. Diamond. Ergodic Theory and Dynamical Systems, 2001

66 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/d1bf5616990da80cb74aa64938268a0c62b44679

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Val'erie Berth'e
2. Anne Siegel
3. Marcy Barge
4. Alejandro Maass
5. J.-Y. Lee
6. S. Petite
7. Sebastian Donoso
8. Fabien Durand

In Materials Chemistry

1. Val'erie Berth'e
2. Alejandro Maass
3. Marcy Barge
4. Anne Siegel
5. J.-Y. Lee
6. Shigeki Akiyama

Citations in the corpus

• On the Pisot Substitution Conjecture (2015, background): “It is easy to take an irreducible Pisot substitution and ‘rewrite’ it to obtain another substitution that is not irreducible but has topologically conjugate dynamics ([24]).”
• Cohomology in one-dimensional substitution tiling spaces (2007, background): “One can always rewrite a one-dimensional substitution to obtain a proper substitution (see [Dur] and [ BD ]) that then automatically forces its border.”
• On automorphism groups of low complexity subshifts (2015, background): “This strategy is related to the study of asymptotic composants introduced by Barge and Diamond in [5].”