Asymptotic scaling behavior of block entropies for an intermittent process

Intermittent systems play a prominent role in the field of dynamical phase transitions. Their extraordinary characteristics also show up when applying the concept of block entropies to symbol sequences which are generated through the method of symbolic dynamics. We investigate the dependence of those dynamical entropies on the block length n. In the asymptotic limit, i.e., for n→∞, an analytic treatment is possible when starting from the assumption of independent laminar laps. The results are important for a refined characterization of intermittent systems. Moreover, they bring intermittent systems in contact with information-carrying sequences which exhibit a very special scaling behavior of dynamical entropies. © 1996 The American Physical Society.