1 research outputs found
A direct proof of Agafonov's theorem and an extension to shift of finite type
We provide a direct proof of Agafonov's theorem which states that finite
state selection preserves normality. We also extends this result to the more
general setting of shifts of finite type by defining selections which are
compatible the shift. A slightly more general statement is obtained as we show
that any Markov measure is preserved by finite state compatible selection