8 problems

Let $H^\lambda(t,p(0))$ denote the conditional entropy at time $t$ for diffusion rate $\lambda$ on a temporal network, with initial distribution $p(0)$. Limit-curve conjecture. The…

The paper parameterizes conditional entropies by a real parameter and a probability measure, and derives sufficient conditions on these parameters ensuring that the resulting quant…

Let $\mathcal{D}_{\rm bulk}$ and $\mathcal{D}_{-\infty}$ denote the parameter sets for which the corresponding conditional entropies are monotone under conditionally mixing channel…

Let $\mathcal{D}_{\rm bulk}$ and $\mathcal{D}_{-\infty}$ be the sets of parameter pairs for which the corresponding conditional entropies are monotone under conditionally mixing ch…

Let $t$ be a real parameter and let $\tau$ be a probability measure parameterizing the conditional entropy $H_{t,\tau}$. The paper gives sufficient conditions on $t$ and $\tau$ for…

Wilde's conjecture. The conditional entropies should obey

Let $X$, $Y$, and $Z$ be random variables taking values in ${\cal X}$, ${\cal Y}$, and ${\cal Z}$, respectively, and suppose that they satisfy the Markov chain…

Conditional-entropy equality conjecture. The inequality