2 problems

Let $x=\{x_n,n\in\textbf N\}\in\textbf Z_2$ be a point, and let $t_n(x)$ be the ordinal number of its length-$n$ initial fragment among the binary sequences of length $n$ having th…

Let the BCZ map denote the Boca–Cobeli–Zaharescu map arising as a Poincaré return map for horocycle flow on the space of lattices. An adic transformation is a measurable transforma…