Characterization of ergodicity of T-adic maps on F2〚T〛 using digit derivatives basis

Motivated by the work of Anashin et al. (1994 [An1], , 2011 [AKY1], , 2011 [AKY2], ) on ergodic theory for p-adic dynamical systems, Lin et al. (2012) [LSY], recently developed a corresponding theory for function fields. In this study, we use digit derivatives to present another characterization of the ergodicity of T-adic maps over F2〚T〛 that is parallel to Lin et al. (2012) [LSY].