THE LIMIT ENTROPY FOR SEQUENCES CONSTRUCTED FROM COMPOSITES

We derive a formula for the limit entropy of a symbol sequence constru cted by independently choosing and concatenating words of different le ngths distributed according to given probabilities. The result is appl ied to a simple model exhibiting the phenomenon of intermittency type I. The scaling of the limit entropy as a function of the parameter con trolling the chaos to order transition is compared with scaling relati ons of the corresponding Lyapunov exponent and excellent agreement is found.