TY  - JOUR
AB  - We study various aspects of periodic points for random substitution subshifts. In order to do so, we introduce a new property for random substitutions called the disjoint images condition. We provide a procedure for determining the property for compatible random substitutions-random substitutions for which a well-defined abelianisation exists. We find some simple necessary criteria for primitive, compatible random substitutions to admit periodic points in their subshifts. In the case that the random substitution further has disjoint images and is of constant length, we provide a stronger criterion. A method is outlined for enumerating periodic points of any specified length in a random substitution subshift.
DA  - 2020
DO  - 10.1007/s00605-020-01458-9
KW  - Random substitutions
KW  - Periodic points
KW  - Topological entropy
LA  - eng
M2  - 683–704
PY  - 2020
SN  - 0026-9255
SP  - 683–704-
T2  - Monatshefte für Mathematik
TI  - Periodic points in random substitution subshifts
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-29458325
Y2  - 2024-11-22T07:55:45
ER  -