Number of first-passage times as a measurement of information for weakly chaotic systems

Pierre Nazé, Roberto Venegeroles

We consider a general class of maps of the interval having Lyapunov subexponential instability $|\delta x_t|\sim |\delta x_0|\exp [{\Lambda }_t(x_0)\zeta (t)]$, where $\zeta (t)$ grows sublinearly as $t\ri…