3 problems

Asymptotic strong Feller conjecture. The asymptotic strong Feller property together with strong continuity implies eventual continuity.

Eventual-continuity support conjecture. If eventual continuity holds at one point in $\operatorname{supp}\mu$, then it holds on the whole support $\operatorname{supp}\mu$ and conse…

Decoupled Markov group conjecture. For every real number $M\geq 1$, there exists a real number $C=C(M)\geq0$ such that, for every $d\in\mathbb{N}$ and every matrix…