Substitution Dynamics
نویسنده
چکیده
generate recursively the infinite Prouhet-Thue-Morse word 0110100110010110 and Fibonacci word 01001010010010100101, respectively [1]. What can be said about the entropy (loosely, the amount of disorder) if we introduce some randomness into such definitions? If [2, 3] ⎨⎩ 0→ 1⁄2 01 with probability 12 10 with probability 12 1→ 0 with independence assumed throughout, then the set of possible words at step − 2 is {001 010 100} at = 4 and {00101 00110 01001 01010 01100 10001 10010 10100}
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