Check whether a continuous time Markov chain is irreducible

A continuous time Markov chain is irreducible if every state can be reached from every other state, which is the case if and only if its embedded jump chain is irreducible.

Usage

is.CTMCirreducible(ctmc)

Arguments

ctmc

A ctmc object.

Value

TRUE if the chain is irreducible, FALSE otherwise.

References

Sigman, K. (2009). Continuous-time Markov chains. Lecture notes, Columbia University.

See also

Other continuous time Markov chains: ExpectedTime(), ctmcFit(), freq2Generator(), generatorToTransitionMatrix(), impreciseProbabilityatT(), is.TimeReversible(), probabilityatT(), rctmc(), transition2Generator()

Author

Vandit Jain

Examples

energyStates <- c("sigma", "sigma_star")
gen <- matrix(c(-3, 3, 1, -1), nrow = 2, byrow = TRUE,
              dimnames = list(energyStates, energyStates))
molecularCTMC <- new("ctmc", states = energyStates, byrow = TRUE,
                     generator = gen, name = "Molecular Transition Model")
is.CTMCirreducible(molecularCTMC)
#> [1] TRUE