Ken-ichi Okubo

Sparse-transition scaling of empirical one-step conditional entropy in infinite ergodic systems.

Empirical entropy rates are widely used to quantify unpredictability from symbolic or time-series data, yet their interpretation is subtle in weakly chaotic dynamics, where ordinary Lyapunov exponents vanish and invariant measures are infinite. We address this issue by studying the empirical one-step conditional entrop...