4 problems

Projection conjecture. Nice factor maps should also map Markov measures to BGM's.

Let the golden mean shift be the shift space on two symbols in which the block $11$ is forbidden, and let $\nu$ range over all invariant probability measures on it. Write…

Let the golden mean shift be the shift space on two symbols in which the block $11$ is forbidden, and let $\nu$ range over its $k$-step Markov measures, for an integer $k\ge 1$. Wr…

Let the full $2$-shift be the shift space on two symbols, and let $\nu$ range over its $1$-step Markov measures. Write $\operatorname{Int}_{\nu}$ for measure-theoretic intricacy. A…