TY - JOUR AU - Bułatek, Wojciech AU - Courbage, Maurice AU - Kamiński, Brunon AU - Szymański, Jerzy PY - 2012/12/01 Y2 - 2024/03/28 TI - An application of the ergodic theorem of information theory to Lyapunov exponents of cellular automata JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 40 IS - 2 SE - DO - 10.12775/TMNA.2012.039 UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2012.039 SP - 415 - 427 AB - We prove a generalization of the individual ergodic theorem of the information theory and we apply it to give a new proof of the Shereshevsky inequality connecting the metric entropy and Lyapunov exponents of dynamical systems generated by cellular automata. ER -