5 problems

Detailed-balance classification conjecture. All non-trivial solutions to the detailed balance condition for $F_{\mathrm{AL},\mathrm{AL}}$ are given in Proposition (b).

Let $\mathcal{C}$ be the upper cell order, and consider the steady states of the granular-system evolution equations. A steady state satisfies detailed balance when the forward and…

Necessity conjecture. This $n$-way recombination is necessary for exact reversibility: if a child is bred from two parents, then the child will be more similar to each parent than…

A detailed-balance reaction network has sensitivity $S$, defined as the supremum of the output response to an input perturbation over time. Suppose several such systems are concate…

Consider a reaction network and its associated Markov chain. Let RNDB denote reaction-network detailed balance and MCDB denote Markov-chain detailed balance. Cycle criterion. The p…