TY  - JOUR
AB  - We consider a random generalization of the classical Fibonacci substitution. The substitution we consider is defined as the rule mapping, a → baa and b → ab, with probability , and  → ba, with probability 1 – p for 0 < p < 1, and where the random rule is applied each time it acts on a . We show that the topological entropy of this object is given by the growth rate of the set of inflated random Fibonacci words, and we exactly calculate its value.
DA  - 2013
DO  - 10.3390/e15093312
LA  - eng
IS  - 9
M2  - 3312
PY  - 2013
SN  - 1099-4300
SP  - 3312-3324
T2  - Entropy
TI  - On the Entropy of a Two Step Random Fibonacci Substitution
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-26237982
Y2  - 2024-11-22T05:31:35
ER  -