@article{Bułatek_Courbage_Kamiński_Szymański_2012, title={An application of the ergodic theorem of information theory to Lyapunov exponents of cellular automata}, volume={40}, url={https://apcz.umk.pl/TMNA/article/view/TMNA.2012.039}, DOI={10.12775/TMNA.2012.039}, abstractNote={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.}, number={2}, journal={Topological Methods in Nonlinear Analysis}, author={Bułatek, Wojciech and Courbage, Maurice and Kamiński, Brunon and Szymański, Jerzy}, year={2012}, month={Dec.}, pages={415–427} }