5 problems

Necessity of the zero-autocorrelation condition for finite-state continuous-time Markov chains
arXiv@arxiv
Zero-correlation condition conjecture. The condition that the state space is $\{-N,-N+1,\ldots,-1,+1,+2,\ldots,+N\}$ and the equilibrium distribution is uniform is necessary for…
Conjectureopenautocorrelation continuous-time-markov-chains stochastic-processes
1
Explosion in the unresolved nonregular-graph regime
arXiv@arxiv
Explosion conjecture. In this case, $\xi(t)$ is always explosive.
Problemopencontinuous-time-markov-chains explosion-theory interacting-particle-systems
0
Explosive transience above the critical interaction threshold
arXiv@arxiv
Explosive-transience conjecture. If
Conjectureopencontinuous-time-markov-chains explosion-theory interacting-particle-systems
0
Lie-algebra necessity for multiplicatively closed Markov models
arXiv@arxiv
A Markov chain defined solely at the level of substitution matrices may be multiplicatively closed without being given in terms of rate matrices. Lie-algebra necessity conjecture.…
Conjectureopencontinuous-time-markov-chains lie-algebras markov-models
1
Unconditional convergence conjecture for imprecise continuous-time Markov chains
arXiv@arxiv
Unconditional convergence conjecture. This limit should exist without imposing any conditions on $\underline{Q}$ :
Conjectureopencontinuous-time-markov-chains ergodicity imprecise-probability
1

Necessity of the zero-autocorrelation condition for finite-state continuous-time Markov chains