id: 00166399
dt: j
an: 00166399
au: Ebeling, W.; Nicolis, G.
ti: Word frequency and entropy of symbolic sequences: A dynamical perspective.
so: Chaos Solitons Fractals 2, No.6, 635-650 (1992).
py: 1992
pu: Elsevier Science Ltd. (Pergamon), Oxford
la: EN
cc: 
ut: symbolic sequences; block entropies; mean uncertainty; weak long memory
ci: 
li: doi:10.1016/0960-0779(92)90058-U
ab: Summary: Symbolic sequences generated by nonlinear dynamics, a German text
    and a piece of classical music are investigated. The higher order block
    entropies and the mean uncertainty are calculated using both analytical
    and numerical methods. The existence of weak long memory effects and
    the corresponding scaling of the entropies are explored. The hypothesis
    is developed that for language-like processes the block entropies
    increase in a sublinear way with the word length $n$, i.e., $H\sb n\sim
    an\sp μ$ with exponents in the range $μ\sim 1/4-1/2$. Correspondingly
    the effective number of words follows a stretched exponential law.
rv: