Recursive procedures for measuring disorder in non-periodic sequences

Recursive procedures are found for calculating the kth-order entropy of non-periodic sequences. These entropies are used as measures of disorder of the sequences and we treat: the Fibonacci sequence and generalizations; the Thue-Morse sequence together with generalizations and the period-doubling sequence. A discussion of the relative ordering of the Thue-Morse and the Fibonacci sequences is given and it is found too simplistic to use any one measure for comparison.PT: J; CR: BURROWS BL, 1991, J PHYS A-MATH GEN, V24, P3979 CHENG Z, 1988, PHYS REV B, V37, P4375 DALLESSANDRO G, 1990, PHYS REV LETT, V64, P1609 GUMBS G, 1989, J PHYS A-MATH GEN, V22, P951 GYORGYI G, 1985, PHYS REV A, V31, P3477 HARTLEY RVL, 1928, BELL SYST TECH J, V7, P535 KHINCHIN AI, 1957, MATH F INFORMATION T KLUIVING R, 1992, PHYSICA A, V183, P405 KLUIVING R, 1992, PHYSICA A, V183, P67 KLUIVING R, 1992, PHYSICA A, V183, P96 QIN MG, 1990, J PHYS-CONDENS MAT, V2, P1059 RIKLUND R, 1987, INT J MOD PHYS B, V1, P121 RYU CS, 1992, PHYS REV B, V46, P5162 RYU CS, 1993, PHYS REV B, V48, P132 SHANNON CE, 1948, BELL SYST TECH J, V27, P379 SHANNON CE, 1948, BELL SYST TECH J, V27, P623 SHANNON CE, 1949, MATH THEORY COMMUNIC WELSH D, 1988, CODES CRYPTOGRAPHY; NR: 18; TC: 6; J9: PHYSICA A; PG: 15; GA: RK763Source type: Electronic(1