2 problems

Let $M$ be a connected manifold and let $f\colon M\to M$ be an Anosov diffeomorphism. The diffeomorphism $f$ is topologically transitive if it has a dense orbit in $M$. Transitivit…

Let $\mathcal{T}$ be the parameter triangle for the family of beta-transformations, with parameters $(\alpha,\beta)$. Transitivity conjecture. For all parameters in $\mathcal{T}$ s…