3 problems

Generalized capacity comparison conjecture. For every joint distribution $P_{X,Y,Z,X',Y',Z'}$,

Kolmogorov-complexity analogue conjecture. There exist functions $f(n)$ and $g(n)$ such that $f(n)=o(n)$ and $g(n)=o(n)$, and for all strings $A,B,C,D$ satisfying

Matúš–Makarychev–Romashchenko–Vereshchagin conjecture. There exists a constant $\kappa>0$ such that, for all random variables $A,B,C,D$,