3 problems

Asymptotic normalized-information conjecture. As $n\to+\infty$, the function $S_\infty(n)$ converges to a constant $S_\infty$ whose value is approximately $3.5$.

Let $\operatorname{Length}(q)$ denote the length, in bits, of a program or theory $q$. Treat the Standard Model plus gravity, abbreviated SM+G, as a theory encoded by a program for…

Fast-growth conjecture. For noncomputable $P$, $I(P:x)$ can grow very fast as a function of the data length $|x|$, namely at the rate of any function $o(|x|)$, even in the iid case…